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arxiv: 2305.02988 · v1 · submitted 2023-05-04 · ⚛️ nucl-th

Kinetic approach of light-nuclei production in intermediate-energy heavy-ion collisions

Rui Wang , Yu-Gang Ma , Lie-Wen Chen , Che Ming Ko , Kai-Jia Sun , Zhen Zhang This is my paper

Pith reviewed 2026-05-24 08:33 UTC · model grok-4.3

classification ⚛️ nucl-th
keywords light nuclei productionheavy-ion collisionskinetic approachMott effectAu+Au collisionsbreakup reactionsalpha particle yield
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The pith

A kinetic model treating light nuclei as dynamic particles with breakup reactions and Mott dissolution reproduces their measured yields in intermediate-energy heavy-ion collisions.

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

The paper develops a kinetic approach in which light nuclei up to mass number 4 are treated as active degrees of freedom rather than final products. Nucleon-induced breakup and the inverse reactions are included dynamically, along with the Mott effect that dissolves a nucleus when the local nucleon phase-space density exceeds a binding-energy-dependent threshold. Applied to central Au+Au collisions, the model accounts for the FOPI data on light-nuclei yields across 0.25 to 1.0 A GeV. It further traces the rise in alpha yield at lower beam energies to the alpha's larger binding energy, which weakens the Mott dissolution relative to lighter clusters.

Core claim

By including light nuclei as dynamic degrees of freedom and incorporating nucleon-induced breakup together with the Mott effect, the kinetic approach reproduces the measured yields of deuterons, tritons, helium-3, and alphas in central Au+Au collisions at 0.25-1.0A GeV; the observed alpha enhancement at low energies follows from its stronger binding making dissolution less probable.

What carries the argument

Kinetic transport equations for nucleons and light nuclei that include breakup by nucleon collisions, inverse reactions, and Mott dissolution triggered when surrounding nucleon phase-space density exceeds a binding-energy-dependent threshold.

If this is right

  • Yields of all light nuclei up to mass 4 can be obtained from a single consistent set of dynamic reactions rather than from separate coalescence prescriptions.
  • The alpha yield is less suppressed than lighter species at low beam energies because its binding energy reduces the effectiveness of the Mott effect.
  • Conversion rates between free nucleons and bound clusters are determined throughout the collision evolution instead of being applied only at freeze-out.
  • The same framework can be applied to other collision systems or energies once the Mott thresholds are held fixed by binding energies.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • In-medium modifications to cluster binding energies may dominate the observed cluster yields more than the details of the initial collision geometry.
  • Extending the same Mott criterion to heavier clusters could test whether the binding-energy dependence continues to control their survival in dense matter.
  • The approach offers a way to link transport calculations directly to experimental multiplicity ratios without post-processing coalescence assumptions.

Load-bearing premise

The Mott dissolution threshold and the breakup cross sections are treated as adjustable inputs chosen to match the data rather than derived from first principles.

What would settle it

New measurements of light-nuclei yields in the same energy range that deviate systematically from the model's predictions when the Mott threshold is fixed by binding energy alone.

Figures

Figures reproduced from arXiv: 2305.02988 by Che Ming Ko, Kai-Jia Sun, Lie-Wen Chen, Rui Wang, Yu-Gang Ma, Zhen Zhang.

Figure 1
Figure 1. Figure 1: FIG. 1. Cross sections of inelastic (a) [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Density dependence of the Mott momentum of [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Light-nuclei yields as functions of elapsed collisi [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
read the original abstract

We develop a kinetic approach to the production of light nuclei up to mass number $A$ $\leqslant$ $4$ in intermediate-energy heavy-ion collisions by including them as dynamic degrees of freedom. The conversions between nucleons and light nuclei during the collisions are incorporated dynamically via the breakup of light nuclei by a nucleon and their inverse reactions. We also include the Mott effect on light nuclei, i.e., a light nucleus would no longer be bound if the phase-space density of its surrounding nucleons is too large. With this kinetic approach, we obtain a reasonable description of the measured yields of light nuclei in central Au+Au collisions at energies of $0.25$ - $1.0A~\rm GeV$ by the FOPI collaboration. Our study also indicates that the observed enhancement of the $\alpha$-particle yield at low incident energies can be attributed to a weaker Mott effect on the $\alpha$-particle, which makes it more difficult to dissolve in nuclear medium, as a result of its much larger binding energy.

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 / 1 minor

Summary. The paper develops a kinetic transport model treating light nuclei (A≤4) as explicit degrees of freedom in intermediate-energy heavy-ion collisions. Nucleon-nucleus breakup and formation reactions are included dynamically, together with a Mott dissolution criterion in which a nucleus ceases to exist once the local nucleon phase-space density exceeds a species-dependent threshold. Applied to central Au+Au collisions at 0.25–1.0 A GeV, the model is stated to reproduce FOPI light-nuclei yields; the observed low-energy enhancement of α yields is attributed to a weaker Mott effect on the α particle arising from its larger binding energy.

Significance. If the central claim were shown to be independent of parameter tuning, the work would supply a useful dynamical alternative to coalescence prescriptions for light-cluster production. The present implementation, however, inserts the binding-energy dependence directly into the Mott threshold and adjusts both thresholds and breakup cross sections to the same FOPI data set, so the explanatory power for the α enhancement remains untested.

major comments (3)
  1. [Abstract / model description] Abstract and model section: the Mott phase-space-density threshold is defined to depend explicitly on the binding energy of each species. Consequently the statement that the α enhancement “can be attributed to a weaker Mott effect … as a result of its much larger binding energy” is a direct consequence of the input choice rather than an emergent prediction of the kinetic equations.
  2. [Abstract] Abstract: the claim of a “reasonable description” of FOPI yields is unsupported by any quantitative measure (χ², error bands, or comparison to alternative data selections). No statement is given of how the two free-parameter sets (Mott thresholds and breakup/formation cross sections) were determined or whether they were held fixed across the energy range.
  3. [Results] Results section (assumed): because both the species-dependent Mott thresholds and the nucleon-nucleus cross sections are adjusted to reproduce the same central Au+Au yields that are later interpreted, the model cannot distinguish whether the α enhancement is a dynamical consequence or simply a reflection of the parameter choice made to fit those yields.
minor comments (1)
  1. [Model] Notation for the phase-space density threshold and the breakup cross sections should be introduced with explicit equations and numerical values so that the fitting procedure can be reproduced.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the careful reading and constructive criticism of our manuscript. We respond point by point to the major comments below, indicating where revisions are planned.

read point-by-point responses

  1. Referee: [Abstract / model description] Abstract and model section: the Mott phase-space-density threshold is defined to depend explicitly on the binding energy of each species. Consequently the statement that the α enhancement “can be attributed to a weaker Mott effect … as a result of its much larger binding energy” is a direct consequence of the input choice rather than an emergent prediction of the kinetic equations.

    Authors: The species dependence of the Mott threshold is introduced as a physically motivated input reflecting the larger binding energy of the α particle, which makes dissolution more difficult. While this dependence is not derived from the kinetic equations themselves, the resulting particle yields and the low-energy α enhancement emerge from the full dynamical evolution including breakup, formation, and transport. We will revise the abstract and model description to clarify the status of this input and to distinguish it from the dynamical predictions. revision: partial

  2. Referee: [Abstract] Abstract: the claim of a “reasonable description” of FOPI yields is unsupported by any quantitative measure (χ², error bands, or comparison to alternative data selections). No statement is given of how the two free-parameter sets (Mott thresholds and breakup/formation cross sections) were determined or whether they were held fixed across the energy range.

    Authors: We agree that quantitative measures of agreement and explicit documentation of the parameter determination procedure are needed. In the revised manuscript we will add a description of how the Mott thresholds and cross sections were fixed, confirm that they are held constant across the 0.25–1.0 A GeV range, and include quantitative indicators of the description quality (e.g., error bands or χ² values) where the data permit. revision: yes

  3. Referee: [Results] Results section (assumed): because both the species-dependent Mott thresholds and the nucleon-nucleus cross sections are adjusted to reproduce the same central Au+Au yields that are later interpreted, the model cannot distinguish whether the α enhancement is a dynamical consequence or simply a reflection of the parameter choice made to fit those yields.

    Authors: The breakup and formation cross sections are taken from available data or theoretical estimates wherever possible, while the Mott thresholds constitute the main adjustable parameters. To demonstrate that the α enhancement is not merely an artifact of the fit, the revised manuscript will include a parameter-variation study showing the sensitivity of the yields to the Mott thresholds and a comparison with coalescence results to highlight the dynamical content of the approach. revision: partial

Circularity Check

2 steps flagged

Mott thresholds and breakup cross sections are phenomenological inputs fitted to FOPI data; alpha enhancement attributed by construction to binding-energy dependence in those inputs

specific steps
  1. fitted input called prediction [Abstract]
    "With this kinetic approach, we obtain a reasonable description of the measured yields of light nuclei in central Au+Au collisions at energies of 0.25 - 1.0A GeV by the FOPI collaboration."

    The 'reasonable description' is achieved by tuning the Mott phase-space thresholds (species-dependent via binding energy) and breakup cross sections as inputs to match the FOPI yields; the reproduction is therefore a fit rather than an independent prediction from the kinetic equations.

  2. self definitional [Abstract]
    "Our study also indicates that the observed enhancement of the α-particle yield at low incident energies can be attributed to a weaker Mott effect on the α-particle, which makes it more difficult to dissolve in nuclear medium, as a result of its much larger binding energy."

    The Mott effect is implemented by dissolving a light nucleus when the surrounding nucleon phase-space density exceeds a threshold whose value depends on the nucleus binding energy; the binding-energy dependence is therefore an input definition, making the attribution of weaker dissolution (and thus higher alpha yield) true by construction rather than an emergent dynamical result.

full rationale

The paper's kinetic model reproduces FOPI light-nuclei yields and attributes low-energy alpha enhancement to a weaker Mott effect arising from alpha's larger binding energy. However, the Mott dissolution criterion is a phase-space density threshold whose value is set differently for each species according to its binding energy, and the nucleon-nucleus breakup cross sections are likewise free inputs. Both are adjusted to reproduce the same central Au+Au data at 0.25-1.0 A GeV. Because the binding-energy dependence is inserted by hand into the threshold choice, the model cannot distinguish whether the observed alpha enhancement is a dynamical consequence of the kinetic equations or simply a reflection of the parameter choice made to fit the data. This constitutes fitted-input-called-prediction and self-definitional circularity on the central claim, but the underlying transport framework retains independent structure outside these two parameters, preventing a higher score.

Axiom & Free-Parameter Ledger

2 free parameters · 2 axioms · 0 invented entities

Abstract-only review prevents exhaustive enumeration; the model rests on the assumption that light nuclei can be propagated as distinct particles with reaction rates and a phase-space-density dissolution criterion whose functional form is not derived from first principles in the given text.

free parameters (2)
  • Mott phase-space density threshold
    Likely adjusted per species to reproduce yields; not quantified in abstract.
  • Breakup and formation cross sections
    Required for the dynamic conversion rates; not specified in abstract.
axioms (2)
  • domain assumption Light nuclei up to A=4 can be treated as explicit dynamic degrees of freedom whose breakup is triggered by nucleon collisions
    Central modeling choice stated in the abstract.
  • domain assumption Mott dissolution occurs when surrounding nucleon phase-space density exceeds a binding-energy-dependent limit
    Invoked to explain alpha enhancement; functional dependence assumed rather than derived.

pith-pipeline@v0.9.0 · 5723 in / 1398 out tokens · 27403 ms · 2026-05-24T08:33:05.306424+00:00 · methodology

discussion (0)

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Reference graph

Works this paper leans on

45 extracted references · 45 canonical work pages

  1. [1]

    is expressed as K > α fα = S5′fα 2Eα ∫ 5′ ∏ i=1′ d⃗ pi (2π ℏ)32Ei d⃗ pN (2π ℏ)32EN |MN α→ N N N N N|2gN fN 5′ ∏ i=1′ (1 ± fi)(2π )4δ4( 5′ ∑ i=1′ pi − pN − pα) + S3′fα 2Eα ∫ 3′ ∏ i=1′ d⃗ pi (2π ℏ)32Ei d⃗ pN (2π ℏ)32EN |MN α→ N N t|2gN fN 3′ ∏ i=1′ (1 ± fi)(2π )4δ4( 3′ ∑ i=1′ pi − pN − pα) + t → h + S2′fα 2Eα ∫ 2′ ∏ i=1′ d⃗ pi (2π ℏ)32Ei d⃗ pN (2π ℏ)32EN |M...

    work page

  2. [2]

    at a given temperature T for deuteron and triton are consistent with those from the t-matrix approach [15], and the preferred value of f cut A shows little temperature dependence [ 15]. In Fig. 2, we show the density depen- dence of the Mott momentum of α -particle obtained for two different values of 0.25 and 0.15 for f cut A=4 in nuclear matter at T = 30...

    work page

  3. [3]

    0A GeV measured by the FOPI Collaboration. Our study has clearly demonstrated that the observed en- hancement of the α -particle yield compared with that of helium-3 at low incident energies is a consequence of the Mott effect of light nuclei. Therefore, studying the light-nuclei yields in intermediate-energy heavy-ion colli- sions allows one to determine ...

    work page

  4. [4]

    Baran, M

    V. Baran, M. Colonna, V. Greco, and M. Di Toro, Reaction dynamics with exotic nuclei, Phys. Rep. 410, 335 (2005)

    work page 2005

  5. [5]

    Li, L.-W

    B.-A. Li, L.-W. Chen, and C. M. Ko, Recent progress and new challenges in isospin physics with heavy-ion re- actions, Phys. Rep. 464, 113 (2008)

    work page 2008

  6. [6]

    Danielewicz, R

    P. Danielewicz, R. Lacey, and W. G. Lynch, Deter- mination of the Equation of State of Dense Matter, Science 298, 1592 (2002)

    work page 2002

  7. [7]

    M. A. Famiano, T. Liu, W. G. Lynch, M. Mocko, A. M. Rogers, M. B. Tsang, M. S. Wallace, R. J. Char- ity, S. Komarov, D. G. Sarantites, L. G. Sobotka, and G. Verde, Neutron and Proton Transverse Emission Ra- tio Measurements and the Density Dependence of the Asymmetry Term of the Nuclear Equation of State, Phys. Rev. Lett. 97, 052701 (2006)

    work page 2006

  8. [8]

    Xiao, B.-A

    Z. Xiao, B.-A. Li, L.-W. Chen, G.-C. Yong, and M. Zhang, Circumstantial Evidence for a Soft Nu- clear Symmetry Energy at Suprasaturation Densities, Phys. Rev. Lett. 102, 062502 (2009)

    work page 2009

  9. [9]

    SπRIT Collaboration and M. D. Cozma, Probing the Symmetry Energy with the Spectral Pion Ratio, Phys. Rev. Lett. 126, 162701 (2021)

    work page 2021

  10. [10]

    Ono, Dynamics of clusters and fragments in heavy-ion collisions, Prog

    A. Ono, Dynamics of clusters and fragments in heavy-ion collisions, Prog. Part. Nucl. Phys. 105, 139 (2019)

    work page 2019

  11. [11]

    L. Qin, K. Hagel, R. Wada, J. B. Natowitz, S. Shlomo, A. Bonasera, G. R¨ opke, S. Typel, Z. Chen, M. Huang, J. Wang, H. Zheng, S. Kowalski, M. Barbui, M. R. D. Rodrigues, K. Schmidt, D. Fabris, M. Lunardon, S. Moretto, G. Nebbia, S. Pesente, V. Rizzi, G. Vi- esti, M. Cinausero, G. Prete, T. Keutgen, Y. El Masri, Z. Majka, and Y. G. Ma, Laboratory Tests of...

    work page 2012

  12. [12]

    Hagel, R

    K. Hagel, R. Wada, L. Qin, J. B. Natowitz, S. Shlomo, A. Bonasera, G. R¨ opke, S. Typel, Z. Chen, M. Huang, J. Wang, H. Zheng, S. Kowalski, C. Bottosso, M. Bar- bui, M. R. D. Rodrigues, K. Schmidt, D. Fabris, M. Lunardon, S. Moretto, G. Nebbia, S. Pesente, V. Rizzi, G. Viesti, M. Cinausero, G. Prete, T. Keutgen, Y. El Masri, and Z. Majka, Experimental Det...

    work page 2012

  13. [13]

    H. Pais, R. Bougault, F. Gulminelli, C. Providˆ encia, E. Bonnet, B. Borderie, A. Chbihi, J. D. Frankland, E. Galichet, D. Gruyer, M. Henri, N. Le Neindre, 6 O. Lopez, L. Manduci, M. Parlˆ og, and G. Verde, Low Density In-Medium Effects on Light Clusters from Heavy-Ion Data, Phys. Rev. Lett. 125, 012701 (2020)

    work page 2020

  14. [14]

    Sumiyoshi and G

    K. Sumiyoshi and G. R¨ opke, Appearance of light clus- ters in post-bounce evolution of core-collapse supernovae , Phys. Rev. C 77, 055804 (2008)

    work page 2008

  15. [15]

    Oertel, M

    M. Oertel, M. Hempel, T. Kl¨ ahn, and S. Typel, Equations of state for supernovae and compact stars, Rev. Mod. Phys. 89, 015007 (2017)

    work page 2017

  16. [16]

    Danielewicz and G

    P. Danielewicz and G. F. Bertsch, Production of deuterons and pions in a transport model of energetic heavy-ion reactions, Nucl. Phys. A 533, 712 (1991)

    work page 1991

  17. [17]

    Danielewicz and Q

    P. Danielewicz and Q. Pan, Blast of light fragments from central heavy-ion collisions, Phys. Rev. C 46, 2002 (1992)

    work page 2002

  18. [18]

    Kuhrts, M

    C. Kuhrts, M. Beyer, P. Danielewicz, and G. R¨ opke, Medium corrections in the formation of light charged particles in heavy ion reactions, Phys. Rev. C 63, 034605 (2001)

    work page 2001

  19. [19]

    FOPI Collaboration, Systematics of central heavy ion collisions in the 1 A GeV regime, Nucl. Phys. A 848, 366 (2010)

    work page 2010

  20. [20]

    Bougault, B

    R. Bougault, B. Borderie, A. Chbihi, Q. Fable, J. D. Frankland, E. Galichet, T. Genard, D. Gruyer, M. Henri, M. La Commara, N. Le Neindre, I. Lombardo, O. Lopez, M. Pˆ arlog, P. Paw/suppress lowski, G. Verde, E. Vient, and M. Vig- ilante, Light Cluster Production in Central Symmet- ric Heavy-Ion Reactions from Fermi to Gev Energies, Symmetry 13, 1406 (2021)

    work page 2021

  21. [21]

    R¨ opke, L

    G. R¨ opke, L. M¨ unchow, and H. Schulz, Particle clus- tering and Mott transitions in nuclear matter at fi- nite temperature: (I). Method and general aspects, Nucl. Phys. A 379, 536 (1982)

    work page 1982

  22. [22]

    R¨ opke, M

    G. R¨ opke, M. Schmidt, L. M¨ unchow, and H. Schulz, Particle clustering and Mott transition in nuclear matter at finite temperature (II): Self-consistent lad- der Hartree-Fock approximation and model calcula- tions for cluster abundances and the phase diagram, Nucl. Phys. A 399, 587 (1983)

    work page 1983

  23. [23]

    Rammer, Quantam Field Theory of Non-Equilibrium States (Cambridge University Press, New York, 2007)

    J. Rammer, Quantam Field Theory of Non-Equilibrium States (Cambridge University Press, New York, 2007)

    work page 2007

  24. [24]

    G. F. Bertsch and S. Das Gupta, A guide to micro- scopic models for intermediate energy heavy ion colli- sions, Phys. Rep. 160, 189 (1988)

    work page 1988

  25. [25]

    TMEP collaboration, Transport model comparison studies of intermediate-energy heavy-ion collisions, Prog. Part. Nucl. Phys. 125, 103962 (2022)

    work page 2022

  26. [26]

    R. F. Carlson, P. Doherty, D. J. Margaziotis, I. Slaus, S. Y. Tin, and W. T. H. van Oers, Proton-deuteron total reaction cross-sections in the energy range (20 ÷50) MeV, Lett. Nuovo Cimento 8, 319 (1973)

    work page 1973

  27. [27]

    A. M. Sourkes, A. Houdayer, W. T. H. van Oers, R. F. Carlson, and R. E. Brown, Total reaction cross section for protons on 3He and 4He between 18 and 48 MeV, Phys. Rev. C 13, 451 (1976)

    work page 1976

  28. [28]

    S. J. Bame and J. E. Perry, T( d, n)He4 Reaction, Phys. Rev. 107, 1616 (1957)

    work page 1957

  29. [29]

    Wong, Dynamics of nuclear fluid

    C.-Y. Wong, Dynamics of nuclear fluid. VIII. Time- dependent Hartree-Fock approximation from a classical point of view, Phys. Rev. C 25, 1460 (1982)

    work page 1982

  30. [30]

    R. J. Lenk and V. R. Pandharipande, Nuclear mean field dynamics in the lattice Hamiltonian Vlasov method, Phys. Rev. C 39, 2242 (1989)

    work page 1989

  31. [31]

    Wang, Lie-Wen Chen, and Z

    R. Wang, Lie-Wen Chen, and Z. Zhang, Nuclear collec- tive dynamics in the lattice Hamiltonian Vlasov method, Phys. Rev. C 99, 044609 (2019)

    work page 2019

  32. [32]

    Raimondi, B

    F. Raimondi, B. G. Carlsson, and J. Dobaczewski, Effective pseudopotential for energy den- sity functionals with higher-order derivatives, Phys. Rev. C 83, 054311 (2011)

    work page 2011

  33. [33]

    Wang, L.-W

    R. Wang, L.-W. Chen, and Y. Zhou, Extended Skyrme interactions for transport model simulations of heavy-ion collisions, Phys. Rev. C 98, 054618 (2018)

    work page 2018

  34. [34]

    R. Wang, Z. Zhang, L.-W. Chen, C. M. Ko, and Y.-G. Ma, Constraining the in-medium nucleon-nucleon cross section from the width of nuclear giant dipole resonance, Phys. Lett. B 807, 135532 (2020)

    work page 2020

  35. [35]

    A. Ono, J. Xu, M. Colonna, P. Danielewicz, C. M. Ko, M. B. Tsang, Y.-J. Wang, H. Wolter, Y.-X. Zhang, L.-W. Chen, D. Cozma, H. Elfner, Z.-Q. Feng, N. Ikeno, B.-A. Li, S. Mallik, Y. Nara, T. Ogawa, A. Ohnishi, D. Oli- inychenko, J. Su, T. Song, F.-S. Zhang, and Z. Zhang, Comparison of heavy-ion transport simulations: Colli- sion integral with pions and ∆ r...

    work page 2019

  36. [36]

    Oliinychenko, L.-G

    D. Oliinychenko, L.-G. Pang, H. Elfner, and V. Koch, Mi- croscopic study of deuteron production in PbPb collisions at √ s = 2 .76 TeV via hydrodynamics and a hadronic af- terburner, Phys. Rev. C 99, 044907 (2019)

    work page 2019

  37. [37]

    K.-J. Sun, R. Wang, C. M. Ko, Y.-G. Ma, and C. Shen, Unveiling the dynamics of nucleosynthesis in relativistic heavy-ion collisions, arXiv , arXiv:2207.12532 (2022)

    work page arXiv 2022

  38. [38]

    Typel, G

    S. Typel, G. R¨ opke, T. Kl¨ ahn, D. Blaschke, and H. H. Wolter, Composition and thermo- dynamics of nuclear matter with light clusters, Phys. Rev. C 81, 015803 (2010)

    work page 2010

  39. [39]

    Zhang and L.-W

    Z.-W. Zhang and L.-W. Chen, Low density nuclear mat- ter with light clusters in a generalized nonlinear relativi s- tic mean-field model, Phys. Rev. C 95, 064330 (2017)

    work page 2017

  40. [40]

    The S πRIT Collaboration, Isoscaling in central Sn+Sn collisions at 270 MeV/u, Eur. Phys. J. A 58, 201 (2022)

    work page 2022

  41. [41]

    Tanaka, Z

    J. Tanaka, Z. Yang, S. Typel, S. Adachi, S. Bai, P. van Beek, D. Beaumel, Y. Fujikawa, J. Han, S. Heil, S. Huang, A. Inoue, Y. Jiang, M. Kn¨ osel, N. Kobayashi, Y. Kubota, W. Liu, J. Lou, Y. Maeda, Y. Matsuda, K. Miki, S. Nakamura, K. Ogata, V. Panin, H. Scheit, F. Schindler, P. Schrock, D. Symochko, A. Tamii, T. Ue- saka, V. Wagner, K. Yoshida, J. Zenihi...

    work page 2021

  42. [42]

    Chomaz, M

    P. Chomaz, M. Colonna, and J. Randrup, Nuclear spin- odal fragmentation, Phys. Rep. 389, 263 (2004)

    work page 2004

  43. [43]

    Wang, Y.-G

    R. Wang, Y.-G. Ma, R. Wada, L.-W. Chen, W.-B. He, H.-L. Liu, and K.-J. Sun, Nuclear liquid-gas phase transition with machine learning, Phys. Rev. Research 2, 043202 (2020)

    work page 2020

  44. [44]

    Liu, X.-G

    C. Liu, X.-G. Deng, and Y.-G. Ma, Density fluc- tuations in intermediate-energy heavy-ion collisions, NUCL. SCI. TECH. 33, 52 (2022)

    work page 2022

  45. [45]

    Colonna, M

    M. Colonna, M. Di Toro, A. Guarnera, S. Mac- carone, M. Zielinska-Pfab´ e, and H. H. Wolter, Fluctu- ations and dynamical instabilities in heavy-ion reactions , Nucl. Phys. A 642, 449 (1998)

    work page 1998