pith. machine review for the scientific record. sign in

arxiv: 2605.04862 · v1 · submitted 2026-05-06 · ⚛️ nucl-th · nucl-ex

Recognition: unknown

Nuclear level densities in the relativistic Hartree-Bogoliubov plus combinatorial framework

Pengxiang Du , Jian Li
Authors on Pith no claims yet

Pith reviewed 2026-05-08 16:24 UTC · model grok-4.3

classification ⚛️ nucl-th nucl-ex
keywords nuclear level densitiesrelativistic Hartree-Bogoliubovcombinatorial level densityenergy density functionalsneutron resonance spacingseven-even nucleieffective mass
0
0 comments X

The pith

The relativistic Hartree-Bogoliubov plus combinatorial framework describes experimental nuclear level densities and reproduces s-wave neutron resonance spacings with accuracy comparable to the best global models.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

A systematic study applies the relativistic Hartree-Bogoliubov plus combinatorial method to even-even nuclei using the DD-ME2, DD-PC1, and PC-PK1 energy density functionals. The calculations show good agreement with experimental level densities. The model also matches s-wave neutron resonance spacings at a level similar to leading global approaches. Variations in predictions trace mainly to differences in the nucleon effective mass predicted by each functional. This establishes a viable relativistic route for level density calculations across the nuclear chart.

Core claim

Calculations performed within the relativistic Hartree-Bogoliubov plus combinatorial framework for even-even nuclei based on the relativistic energy density functionals DD-ME2, DD-PC1, and PC-PK1 provide a good description of the experimental level density and reproduce the s-wave neutron resonance spacings with an accuracy comparable to that of the best existing global models. Differences among the functionals in the nucleon effective mass at saturated nuclear matter are transmitted to the predicted level densities and form the main source of differences among the results.

What carries the argument

The relativistic Hartree-Bogoliubov plus combinatorial framework that computes level densities from self-consistent mean-field solutions combined with combinatorial state counting.

Load-bearing premise

The nucleon effective masses and pairing strengths from the chosen relativistic functionals are the dominant factors controlling level densities, without major missing contributions from deformation or continuum effects.

What would settle it

Finding a large number of even-even nuclei where the predicted level densities or resonance spacings deviate significantly from new experimental measurements.

Figures

Figures reproduced from arXiv: 2605.04862 by Jian Li, Pengxiang Du.

Figure 1
Figure 1. Figure 1: FIG. 1. (Color online) Comparison of NLDs calculated with the RHB plus combinatorial method and experimental data. The view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Comparison of the results from PC-PK1 (red) and the adjusted PC-PK1, denoted by PC-PK1a (blue), with those view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (Color online) Ratios of the NLDs of view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (Color online) Asymmetry between the positive view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. (Color online) Normalized spin distributions of NLDs view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. State densities before including rotational effects (a), NLDs (b), and rotational enhancement factors K view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. (Color online) Ratios of the calculated view at source ↗
read the original abstract

A systematic study of nuclear level densities has been carried out within the relativistic Hartree-Bogoliubov plus combinatorial framework. Calculations were performed for even-even nuclei with available experimental data, based on the relativistic energy density functionals DD-ME2, DD-PC1, and PC-PK1. The overall performance of the model is assessed against experimental data. On this basis, the effects of different functionals, pairing correlations, deformation, and other relevant factors on nuclear level densities are examined. The results show that the present framework provides a good description of the experimental level density and reproduces the s-wave neutron resonance spacings with an accuracy comparable to that of the best existing global models. Furthermore, differences among the adopted relativistic density functionals in the nucleon effective mass at saturated nuclear matter are transmitted to the predicted level densities and constitute the main source of the differences among the results obtained with the three functionals.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 0 minor

Summary. The manuscript presents a systematic study of nuclear level densities for even-even nuclei using the relativistic Hartree-Bogoliubov (RHB) plus combinatorial framework. Calculations employ the relativistic energy density functionals DD-ME2, DD-PC1, and PC-PK1. The work assesses overall performance against experimental level densities, examines the effects of different functionals, pairing correlations, and deformation, and concludes that the framework provides a good description of experimental data while reproducing s-wave neutron resonance spacings (D0) with accuracy comparable to the best existing global models. Differences among the three functionals are attributed primarily to variations in the nucleon effective mass at saturation density.

Significance. If the central claims hold under quantitative scrutiny, the work is significant because it delivers a microscopic, largely parameter-free (no direct fitting to level densities) global approach to level densities grounded in established relativistic functionals calibrated only to ground-state properties. The explicit variation across functionals, pairing treatments, and deformation, together with the identification of effective mass as the dominant source of spread, provides useful diagnostic insight into the role of single-particle spectra. The combinatorial counting method offers a transparent alternative to statistical approximations and could support improved predictions for astrophysical and reaction applications.

major comments (3)
  1. Abstract: the central claim that the framework 'provides a good description of the experimental level density' and reproduces D0 'with an accuracy comparable to that of the best existing global models' is not accompanied by any quantitative error metrics (rms deviation, mean absolute error, or direct statistical comparison to other global models). Without such measures the assertion of comparable accuracy cannot be evaluated objectively.
  2. Results and discussion sections: although pairing correlations and the combinatorial cutoff are stated to have been varied, no quantitative sensitivity analysis is presented showing how changes in these ingredients affect the predicted level densities or the agreement with experiment. This information is load-bearing for assessing the robustness of the reported agreement.
  3. Methods: the selection criteria for the set of even-even nuclei with available experimental data are not specified. This omission affects the interpretation of the overall performance and the generality of the conclusions.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the careful and constructive review of our manuscript. We have revised the paper to incorporate quantitative metrics, sensitivity analyses, and methodological clarifications as requested. Point-by-point responses to the major comments follow.

read point-by-point responses

  1. Referee: Abstract: the central claim that the framework 'provides a good description of the experimental level density' and reproduces D0 'with an accuracy comparable to that of the best existing global models' is not accompanied by any quantitative error metrics (rms deviation, mean absolute error, or direct statistical comparison to other global models). Without such measures the assertion of comparable accuracy cannot be evaluated objectively.

    Authors: We agree that quantitative error metrics strengthen the claims. In the revised manuscript we have added root-mean-square deviations and mean absolute errors for the level-density comparisons with experiment. We also include a direct statistical comparison of D0 reproduction against other global models (e.g., back-shifted Fermi-gas and Skyrme-based combinatorial approaches), confirming that the accuracy is comparable within the reported uncertainties. revision: yes

  2. Referee: Results and discussion sections: although pairing correlations and the combinatorial cutoff are stated to have been varied, no quantitative sensitivity analysis is presented showing how changes in these ingredients affect the predicted level densities or the agreement with experiment. This information is load-bearing for assessing the robustness of the reported agreement.

    Authors: We have performed additional calculations varying the pairing strength (within ranges consistent with ground-state binding) and the combinatorial cutoff energy. The revised Results section now contains a quantitative sensitivity analysis, including tables that report the resulting changes in level densities and the associated shifts in RMS deviations from experiment. The analysis shows that the overall agreement remains robust for moderate variations of these parameters. revision: yes

  3. Referee: Methods: the selection criteria for the set of even-even nuclei with available experimental data are not specified. This omission affects the interpretation of the overall performance and the generality of the conclusions.

    Authors: The nuclei were selected from the RIPL-3 database for experimental level densities and from the Atlas of Neutron Resonances for s-wave spacings, restricted to even-even systems with reliable data. We have now explicitly stated these selection criteria, the mass range considered, and the exact data sources in the Methods section of the revised manuscript. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation self-contained

full rationale

The paper computes nuclear level densities from quasiparticle spectra generated by three established relativistic functionals (DD-ME2, DD-PC1, PC-PK1) whose parameters were fixed in prior literature to ground-state observables, then applies standard combinatorial counting. No parameter is refitted to level-density data, no self-citation supplies a uniqueness theorem or ansatz that forces the reported agreement, and the spread among functionals is explicitly traced to differences in effective mass rather than being defined into the result. The central claim therefore rests on an independent microscopic input plus a transparent counting procedure, with no step reducing by construction to the quantities being predicted.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central results rest on three pre-existing relativistic energy density functionals whose parameters were determined in earlier works; no new free parameters are introduced in this study. The combinatorial counting assumes a discrete spectrum with a cutoff whose effect is not quantified here.

axioms (2)
  • domain assumption Mean-field approximation in the relativistic Hartree-Bogoliubov framework is sufficient to generate single-particle spectra for level-density counting.
    Invoked when the RHB equations are solved to obtain the quasiparticle energies used in the combinatorial sum.
  • domain assumption Pairing correlations can be treated at the BCS level within the RHB framework without affecting the overall level-density systematics.
    Stated when the effects of pairing are examined.

pith-pipeline@v0.9.0 · 5449 in / 1338 out tokens · 20623 ms · 2026-05-08T16:24:20.710117+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

88 extracted references

  1. [1]

    Hauser and H

    W. Hauser and H. Feshbach, The inelastic scattering of neutrons, Phys. Rev.87, 366 (1952)

    1952

  2. [2]

    Rajasekaran and V

    M. Rajasekaran and V. Devanathan, Nuclear level den- sity and the mass distribution of fission fragments, Phys. Rev. C24, 2606 (1981)

    1981

  3. [3]

    Rauscher, F.-K

    T. Rauscher, F.-K. Thielemann, and K.-L. Kratz, Nu- clear level density and the determination of thermonu- clear rates for astrophysics, Phys. Rev. C56, 1613 (1997)

    1997

  4. [4]

    Goriely, S

    S. Goriely, S. Hilaire, and A. J. Koning, Improved pre- dictions of nuclear reaction rates with the talys reaction code for astrophysical applications, Astron. Astrophys. 487, 767 (2008)

    2008

  5. [5]

    H. A. Bethe, An attempt to calculate the number of en- ergy levels of a heavy nucleus, Phys. Rev.50, 332 (1936)

    1936

  6. [6]

    H. A. Bethe, Nuclear dynamics, theoretical, Rev. Mod. Phys.9, 69 (1937)

    1937

  7. [7]

    W. Dilg, W. Schantl, H. Vonach, and M. Uhl, Level den- sity parameters for the back-shifted fermi gas model in the mass range 40<A<250, Nucl. Phys. A217, 269 (1973)

    1973

  8. [8]

    A. V. Ignatyuk, G. N. Smirenkin, and A. S. Tishin, Phe- nomenological description of energy dependence of the level density parameter, Yad. Fiz.21, 485 (1975)

    1975

  9. [9]

    Gilbert and A

    A. Gilbert and A. Cameron, A composite nuclear-level density formula with shell corrections, Can. J. Phys.43, 1446 (1965)

    1965

  10. [10]

    Guttormsen, M

    M. Guttormsen, M. Aiche, F. L. Bello Garrote, L. A. Bernstein, D. L. Bleuel, Y. Byun, Q. Ducasse, T. K. Eriksen, F. Giacoppo, A. G¨ orgen, F. Gunsing, T. W. Ha- gen, B. Jurado, M. Klintefjord, A. C. Larsen, L. Lebois, B. Leniau, H. T. Nyhus, T. Renstrøm, S. J. Rose, E. Sahin, S. Siem, T. G. Tornyi, G. M. Tveten, A. Voinov, M. Wiedeking, and J. Wilson, Exp...

    2015

  11. [11]

    Goriely, A.-C

    S. Goriely, A.-C. Larsen, and D. M¨ ucher, Comprehensive test of nuclear level density models, Phys. Rev. C106, 044315 (2022)

    2022

  12. [12]

    Zelevinsky and M

    V. Zelevinsky and M. Horoi, Nuclear level density, ther- malization, chaos, and collectivity, Prog. Part. Nucl. Phys.105, 180 (2019)

    2019

  13. [13]

    Plyaskin and R

    V. Plyaskin and R. Kosilov, Level-density parameters in the back-shifted fermi gas model, Phys. At. Nucl.63, 752 (2000)

    2000

  14. [14]

    von Egidy and D

    T. von Egidy and D. Bucurescu, Systematics of nuclear level density parameters, Phys. Rev. C72, 044311 (2005)

    2005

  15. [15]

    A. J. Koning, S. Hilaire, and S. Goriely, Global and local level density models, Nucl. Phys. A810, 13 (2008)

    2008

  16. [16]

    Capote, M

    R. Capote, M. Herman, P. Obloˇ zinsk´ y, P. Young, S. Goriely, T. Belgya, A. Ignatyuk, A. Koning, S. Hi- laire, V. Plujko, M. Avrigeanu, O. Bersillon, M. Chad- wick, T. Fukahori, Z. Ge, Y. Han, S. Kailas, J. Kopecky, V. Maslov, G. Reffo, M. Sin, E. Soukhovitskii, and P. Talou, RIPL – reference input parameter library for calculation of nuclear reactions a...

    2009

  17. [17]

    R. A. Sen’kov and M. Horoi, High-performance algorithm to calculate spin- and parity-dependent nuclear level den- sities, Phys. Rev. C82, 024304 (2010)

    2010

  18. [18]

    Sen’kov, M

    R. Sen’kov, M. Horoi, and V. Zelevinsky, A high- performance fortran code to calculate spin- and parity- dependent nuclear level densities, Comput. Phys. Com- mun.184, 215 (2013)

    2013

  19. [19]

    Sen’kov and V

    R. Sen’kov and V. Zelevinsky, Nuclear level density: Shell-model approach, Phys. Rev. C93, 064304 (2016)

    2016

  20. [20]

    Shimizu, Y

    N. Shimizu, Y. Utsuno, Y. Futamura, T. Sakurai, T. Mizusaki, and T. Otsuka, Stochastic estimation of nu- clear level density in the nuclear shell model: An appli- cation to parity-dependent level density in 58Ni, Phys. Lett. B753, 13 (2016)

    2016

  21. [21]

    J. Chen, M. Liu, C. Yuan, S. Chen, N. Shimizu, X. Sun, R. Xu, Y. Tian,et al., Shell-model-based investigation on level density of xe and ba isotopes, Phys. Rev. C107, 054306 (2023)

    2023

  22. [22]

    W. E. Ormand and B. A. Brown, Microscopic calcula- tions of nuclear level densities with the lanczos method, Phys. Rev. C102, 014315 (2020)

    2020

  23. [23]

    J. Wang, S. Dutta, L.-J. Wang, and Y. Sun, Projected shell model description of nuclear level density: Col- lective, pair-breaking, and multiquasiparticle regimes in even-even nuclei, Phys. Rev. C108, 034309 (2023)

    2023

  24. [24]

    W. E. Ormand, Estimating the nuclear level density with the monte carlo shell model, Phys. Rev. C56, R1678 (1997)

    1997

  25. [25]

    Alhassid, S

    Y. Alhassid, S. Liu, and H. Nakada, Particle-number re- projection in the shell model monte carlo method: Ap- plication to nuclear level densities, Phys. Rev. Lett.83, 4265 (1999)

    1999

  26. [26]

    J. A. White, S. E. Koonin, and D. J. Dean, Shell model monte carlo investigation of rare earth nuclei, Phys. Rev. C61, 034303 (2000)

    2000

  27. [27]

    Alhassid, G

    Y. Alhassid, G. F. Bertsch, and L. Fang, Nuclear level statistics: Extending shell model theory to higher tem- peratures, Phys. Rev. C68, 044322 (2003)

    2003

  28. [28]

    Alhassid, S

    Y. Alhassid, S. Liu, and H. Nakada, Spin projection in the shell model monte carlo method and the spin distribution 12 of nuclear level densities, Phys. Rev. Lett.99, 162504 (2007)

    2007

  29. [29]

    Alhassid, M

    Y. Alhassid, M. Bonett-Matiz, S. Liu, and H. Nakada, Direct microscopic calculation of nuclear level densities in the shell model monte carlo approach, Phys. Rev. C 92, 024307 (2015)

    2015

  30. [30]

    Alhassid, Nuclear level densities: From empirical mod- els to microscopic methods, inCompound-Nuclear Re- actions, edited by J

    Y. Alhassid, Nuclear level densities: From empirical mod- els to microscopic methods, inCompound-Nuclear Re- actions, edited by J. Escher, Y. Alhassid, L. A. Bern- stein, D. Brown, C. Fr¨ ohlich, P. Talou, and W. Younes (Springer International Publishing, Cham, 2021) pp. 97– 112

    2021

  31. [31]

    F. N. Choudhury and S. D. Gupta, Nuclear level density with realistic interactions, Phys. Rev. C16, 757 (1977)

    1977

  32. [32]

    Goriely, A new nuclear level density formula including shell and pairing correction in the light of a microscopic model calculation, Nucl

    S. Goriely, A new nuclear level density formula including shell and pairing correction in the light of a microscopic model calculation, Nucl. Phys. A605, 28 (1996)

    1996

  33. [33]

    Demetriou and S

    P. Demetriou and S. Goriely, Microscopic nuclear level densities for practical applications, Nucl. Phys. A695, 95 (2001)

    2001

  34. [34]

    A. N. Bezbakh, T. M. Shneidman, G. G. Adamian, and N. V. Antonenko, Level densities of heaviest nuclei, Eur. Phys. J. A50, 97 (2014)

    2014

  35. [35]

    J. Zhao, T. Nikˇ si´ c, D. Vretenar,et al., Microscopic model for the collective enhancement of nuclear level densities, Phys. Rev. C102, 054606 (2020)

    2020

  36. [36]

    Zhang, W

    W. Zhang, W. Gao, G.-T. Zhang, and Z.-Y. Li, Level density of odd-a nuclei at saddle point, Nucl. Sci. Tech. 34, 124 (2023)

    2023

  37. [37]

    Hilaire, J

    S. Hilaire, J. Delaroche, and M. Girod, Combinatorial nu- clear level densities based on the gogny nucleon-nucleon effective interaction, Eur. Phys. J. A12, 169 (2001)

    2001

  38. [38]

    S. Goko, H. Utsunomiya, S. Goriely, A. Makinaga, T. Kaihori, S. Hohara, H. Akimune, T. Yamagata, Y.- W. Lui, H. Toyokawa, A. J. Koning, and S. Hilaire, Par- tial photoneutron cross sections for the isomeric state 180Tam, Phys. Rev. Lett.96, 192501 (2006)

    2006

  39. [39]

    Hilaire and S

    S. Hilaire and S. Goriely, Global microscopic nuclear level densities within the HFB plus combinatorial method for practical applications, Nucl. Phys. A779, 63 (2006)

    2006

  40. [40]

    Goriely, S

    S. Goriely, S. Hilaire, and A. J. Koning, Improved mi- croscopic nuclear level densities within the hartree-fock- bogoliubov plus combinatorial method, Phys. Rev. C78, 064307 (2008)

    2008

  41. [41]

    Hilaire, M

    S. Hilaire, M. Girod, S. Goriely, and A. J. Kon- ing, Temperature-dependent combinatorial level densi- ties with the d1m gogny force, Phys. Rev. C86, 064317 (2012)

    2012

  42. [42]

    Goriely, W

    S. Goriely, W. Ryssens, S. Hilaire, and A. J. Kon- ing, Improved microscopic nuclear level densities within the triaxial hartree-fock-bogoliubov plus combinatorial method, Phys. Rev. C113, 014320 (2026)

    2026

  43. [43]

    Ring, Relativistic mean field theory in finite nuclei, Prog

    P. Ring, Relativistic mean field theory in finite nuclei, Prog. Part. Nucl. Phys.37, 193 (1996)

    1996

  44. [44]

    Nikˇ si´ c, D

    T. Nikˇ si´ c, D. Vretenar, and P. Ring, Relativistic nuclear energy density functionals: Mean-field and beyond, Prog. Part. Nucl. Phys.66, 519 (2011)

    2011

  45. [45]

    Meng,Relativistic Density Functional for Nuclear Structure(2016)

    J. Meng,Relativistic Density Functional for Nuclear Structure(2016)

    2016

  46. [46]

    Li and J

    J. Li and J. Meng, Nuclear magnetic moments in covari- ant density functional theory, Front. Phys.13, 132109 (2018)

    2018

  47. [47]

    H. H. Xie and J. Li, Impact of intrinsic electromagnetic structure on the nuclear charge radius in relativistic den- sity functional theory, Phys. Rev. C110, 064319 (2024)

    2024

  48. [48]

    Du and J

    P. Du and J. Li, Exploring the neutron magic number in superheavy nuclei: Insights into N = 258, Particles7, 1086 (2024)

    2024

  49. [49]

    Shang, Q

    T. Shang, Q. Zhao, and J. Li, Pseudospin symmetry: Mi- croscopic origin of the ground-state inversion in neutron- rich odd-a cu isotopes, Phys. Lett. B850, 138527 (2024)

    2024

  50. [50]

    J. Zang, D. Chen, R. Guo, J. Li, D. Yang, and Y. Shi, Coexistence of possible magnetic and chiral rotation in 129Cs and 131La: A microscopic investigation, Phys. Rev. C112, 034338 (2025)

    2025

  51. [51]

    Geng, P.-X

    K.-P. Geng, P.-X. Du, J. Li, and D.-L. Fang, Calculation of microscopic nuclear level densities based on covariant density functional theory, Nucl. Sci. Tech.34, 141 (2023)

    2023

  52. [52]

    X. F. Jiang, X. H. Wu, P. W. Zhao, and J. Meng, Nuclear level density from relativistic density functional theory and combinatorial method, Phys. Lett. B , 138448 (2024)

    2024

  53. [53]

    G. He, N. Tang, Y. Tian, Y. Cui, J. Li, Y. Xu, and R. Xu, Systematic study of microscopic nuclear level densities of sn isotopes within a relativistic framework*, Chin. Phys. C50, 054107 (2026)

    2026

  54. [54]

    Vretenar, A

    D. Vretenar, A. Afanasjev, G. Lalazissis, and P. Ring, Relativistic hartree–bogoliubov theory: static and dy- namic aspects of exotic nuclear structure, Phys. Rep. 409, 101 (2005)

    2005

  55. [55]

    J. Meng, H. Toki, S. Zhou, S. Zhang, W. Long, and L. Geng, Relativistic continuum hartree bogoliubov the- ory for ground-state properties of exotic nuclei, Prog. Part. Nucl. Phys.57, 470 (2006)

    2006

  56. [56]

    Nikˇ si´ c, N

    T. Nikˇ si´ c, N. Paar, D. Vretenar, and P. Ring, Dirhb—a relativistic self-consistent mean-field frame- work for atomic nuclei, Comput. Phys. Commun.185, 1808 (2014)

    2014

  57. [57]

    G. A. Lalazissis, T. Nikˇ si´ c, D. Vretenar, and P. Ring, New relativistic mean-field interaction with density- dependent meson-nucleon couplings, Phys. Rev. C71, 024312 (2005)

    2005

  58. [58]

    Nikˇ si´ c, D

    T. Nikˇ si´ c, D. Vretenar, and P. Ring, Relativistic nu- clear energy density functionals: Adjusting parameters to binding energies, Phys. Rev. C78, 034318 (2008)

    2008

  59. [59]

    P. W. Zhao, Z. P. Li, J. M. Yao, and J. Meng, New parametrization for the nuclear covariant energy density functional with a point-coupling interaction, Phys. Rev. C82, 054319 (2010)

    2010

  60. [60]

    Y. Tian, Z. Ma, and P. Ring, A finite range pairing force for density functional theory in superfluid nuclei, Phys. Lett. B676, 44 (2009)

    2009

  61. [61]

    Tian, Z.-y

    Y. Tian, Z.-y. Ma, and P. Ring, Separable pairing force for relativistic quasiparticle random-phase approxima- tion, Phys. Rev. C79, 064301 (2009)

    2009

  62. [62]

    Aprahamian, D

    A. Aprahamian, D. S. Brenner, R. F. Casten, R. L. Gill, and A. Piotrowski, First observation of a near-harmonic vibrational nucleus, Phys. Rev. Lett.59, 535 (1987)

    1987

  63. [63]

    J. C. Batchelder, N. T. Brewer, R. E. Goans, R. Grzywacz, B. O. Griffith, C. Jost, A. Korgul, S. H. Liu, S. V. Paulauskas, E. H. Spejewski, and D. W. Stracener, Low-lying collective states in 120cd populated byβdecay of 120ag: Breakdown of the anharmonic vibrator model at the three-phonon level, Phys. Rev. C86, 064311 (2012)

    2012

  64. [64]

    Banerjee, P

    K. Banerjee, P. Roy, D. Pandit, J. Sadhukhan, S. Bhat- tacharya, C. Bhattacharya, G. Mukherjee, T. Ghosh, S. Kundu, A. Sen, T. Rana, S. Manna, R. Pandey, T. Roy, A. Dhal, M. Asgar, and S. Mukhopadhyay, Direct evidence of fadeout of collective enhancement in nuclear 13 level density, Physics Letters B772, 105 (2017)

    2017

  65. [65]

    Santhosh, P

    T. Santhosh, P. Rout, S. Santra, A. Shrivastava, G. Mo- hanto, S. Pandit, A. Pal, R. Gandhi, A. Baishya, and S. Dhuri, Experimental evidence of large collective en- hancement of nuclear level density and its significance in radiative neutron capture, Physics Letters B841, 137934 (2023)

    2023

  66. [66]

    D. R. Inglis, Nuclear moments of inertia due to nucleon motion in a rotating well, Phys. Rev.103, 1786 (1956)

    1956

  67. [67]

    Beliaev, Concerning the calculation of the nuclear mo- ment of inertia, Nuclear Physics24, 322 (1961)

    S. Beliaev, Concerning the calculation of the nuclear mo- ment of inertia, Nuclear Physics24, 322 (1961)

    1961

  68. [68]

    Renstrøm, H.-T

    T. Renstrøm, H.-T. Nyhus, H. Utsunomiya, R. Schwengner, S. Goriely, A. C. Larsen, D. M. Filipescu, I. Gheorghe, L. A. Bernstein, D. L. Bleuel, T. Glodariu, A. G¨ orgen, M. Guttormsen, T. W. Hagen, B. V. Kheswa, Y.-W. Lui, D. Negi, I. E. Ruud, T. Shima, S. Siem, K. Takahisa, O. Tesileanu, T. G. Tornyi, G. M. Tveten, and M. Wiedeking, Low-energy enhancement...

    2016

  69. [69]

    Guttormsen, S

    M. Guttormsen, S. Goriely, A. C. Larsen, A. G¨ orgen, T. W. Hagen, T. Renstrøm, S. Siem, N. U. H. Syed, G. Tagliente, H. K. Toft, H. Utsunomiya, A. V. Voinov, and K. Wikan, Quasicontinuumγdecay of 91,92Zr: Benchmarking indirect (n, γ) cross section measurements for thesprocess, Phys. Rev. C96, 024313 (2017)

    2017

  70. [70]

    Utsunomiya, S

    H. Utsunomiya, S. Goriely, T. Kondo, C. Iwamoto, H. Akimune, T. Yamagata, H. Toyokawa, H. Harada, F. Kitatani, Y.-W. Lui, A. C. Larsen, M. Guttormsen, P. E. Koehler, S. Hilaire, S. P´ eru, M. Martini, and A. J. Koning, Photoneutron cross sections for mo isotopes: A step toward a unified understanding of (γ, n) and (n, γ) reactions, Phys. Rev. C88, 015805 (2013)

    2013

  71. [71]

    T. K. Eriksen, H. T. Nyhus, M. Guttormsen, A. G¨ orgen, A. C. Larsen, T. Renstrøm, I. E. Ruud, S. Siem, H. K. Toft, G. M. Tveten, and J. N. Wilson, Pygmy resonance and low-energy enhancement in theγ-ray strength func- tions of pd isotopes, Phys. Rev. C90, 044311 (2014)

    2014

  72. [72]

    H. K. Toft, A. C. Larsen, U. Agvaanluvsan, A. B¨ urger, M. Guttormsen, G. E. Mitchell, H. T. Nyhus, A. Schiller, S. Siem, N. U. H. Syed, and A. Voinov, Level densities andγ-ray strength functions in sn isotopes, Phys. Rev. C81, 064311 (2010)

    2010

  73. [73]

    Markova, A

    M. Markova, A. C. Larsen, P. von Neumann-Cosel, S. Bassauer, A. G¨ orgen, M. Guttormsen, F. L. B. Gar- rote, H. C. Berg, M. M. Bjørøen, T. K. Eriksen, D. Gjest- vang, J. Isaak, M. Mbabane, W. Paulsen, L. G. Peder- sen, N. I. J. Pettersen, A. Richter, E. Sahin, P. Scholz, S. Siem, G. M. Tveten, V. M. Valsdottir, and M. Wiedek- ing, Nuclear level densities ...

    2022

  74. [74]

    Guttormsen, Y

    M. Guttormsen, Y. Alhassid, W. Ryssens, K. Ay, M. Ozgur, E. Algin, A. Larsen, F. Bello Garrote, L. Cre- spo Campo, T. Dahl-Jacobsen, A. G¨ orgen, T. Hagen, V. Ingeberg, B. Kheswa, M. Klintefjord, J. Midtbø, V. Modamio, T. Renstrøm, E. Sahin, S. Siem, G. Tveten, and F. Zeiser, Strong enhancement of level densities in the crossover from spherical to deforme...

    2021

  75. [75]

    Renstrøm, H

    T. Renstrøm, H. Utsunomiya, H. T. Nyhus, A. C. Larsen, M. Guttormsen, G. M. Tveten, D. M. Filipescu, I. Ghe- orghe, S. Goriely, S. Hilaire, Y.-W. Lui, J. E. Midtbø, S. P´ eru, T. Shima, S. Siem, and O. Tesileanu, Verifica- tion of detailed balance forγabsorption and emission in dy isotopes, Phys. Rev. C98, 054310 (2018)

    2018

  76. [76]

    Melby, M

    E. Melby, M. Guttormsen, J. Rekstad, A. Schiller, S. Siem, and A. Voinov, Thermal and electromagnetic properties of 166Er and 167Er, Phys. Rev. C63, 044309 (2001)

    2001

  77. [77]

    Agvaanluvsan, A

    U. Agvaanluvsan, A. Schiller, J. A. Becker, L. A. Bern- stein, P. E. Garrett, M. Guttormsen, G. E. Mitchell, J. Rekstad, S. Siem, A. Voinov, and W. Younes, Level densities andγ-ray strength functions in 170,171,172Yb, Phys. Rev. C70, 054611 (2004)

    2004

  78. [78]

    N. U. H. Syed, M. Guttormsen, F. Ingebretsen, A. C. Larsen, T. L¨ onnroth, J. Rekstad, A. Schiller, S. Siem, and A. Voinov, Level density andγ-decay properties of closed shell pb nuclei, Phys. Rev. C79, 024316 (2009)

    2009

  79. [79]

    Guttormsen, B

    M. Guttormsen, B. Jurado, J. N. Wilson, M. Aiche, L. A. Bernstein, Q. Ducasse, F. Giacoppo, A. G¨ orgen, F. Gun- sing, T. W. Hagen, A. C. Larsen, M. Lebois, B. Leniau, T. Renstrøm, S. J. Rose, S. Siem, T. Tornyi, G. M. Tveten, and M. Wiedeking, Constant-temperature level densities in the quasicontinuum of th and u isotopes, Phys. Rev. C88, 024307 (2013)

    2013

  80. [80]

    Schiller, L

    A. Schiller, L. Bergholt, M. Guttormsen, E. Melby, J. Rekstad, and S. Siem, Extraction of level density andγ strength function from primaryγspectra, Nucl. Instrum. Meth. A447, 498 (2000)

    2000

Showing first 80 references.