Studies of quasiclassical approach applicability to true three-body decays

D.A. Kostyleva; L.V. Grigorenko; M.V. Zhukov; O.M. Sukhareva

arxiv: 1907.11013 · v1 · pith:3XMDEKQVnew · submitted 2019-07-25 · ⚛️ nucl-th

Studies of quasiclassical approach applicability to true three-body decays

O.M. Sukhareva , L.V. Grigorenko , D.A. Kostyleva , M.V. Zhukov This is my paper

Pith reviewed 2026-05-24 16:00 UTC · model grok-4.3

classification ⚛️ nucl-th

keywords three-body decaysquasiclassical approximationhyperspherical harmonicstwo-proton decay17Nenuclear resonancescoupled channels

0 comments

The pith

Reducing three-body hyperspherical equations to a single channel overestimates the two-proton decay width.

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

The paper applies the hyperspherical harmonics method to true three-body decays, where the three-body problem reduces to motion of one effective particle in a strongly deformed field treated in coupled channels. It shows that the quasiclassical formula itself works well on the resulting effective potentials, yet the further step of collapsing the coupled channels into a single-channel Schrödinger equation produces a clear overestimate of the two-proton width. The overestimate is quantified for the first excited 3/2- state in 17Ne. The result indicates that this common simplification cannot be trusted for accurate width calculations in genuine three-body systems.

Core claim

The reduction of the hyperspherical equations set to a single-channel Schrödinger equation leads to significant overestimation of the two-proton width Γ_{2p}, demonstrated by the example of the 17Ne first excited 3/2- state decay.

What carries the argument

The coupled-channel hyperspherical harmonics reduction of the three-body problem to an effective single-particle motion, followed by its collapse to a single-channel Schrödinger equation for quasiclassical width evaluation.

If this is right

The quasiclassical formula remains accurate when applied directly to the three-body effective potentials.
Single-channel reduction produces widths larger than the coupled-channel treatment for the studied 17Ne state.
The single-channel approximation cannot be assumed valid for other true three-body decays without separate verification.

Where Pith is reading between the lines

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

Accurate widths for other Borromean or three-body decaying nuclei will require retaining the full coupled-channel structure.
Methods that avoid the single-channel reduction step may be needed for reliable predictions in similar systems.
The size of the overestimate could be mapped across a range of three-body potentials to identify when the approximation is least harmful.

Load-bearing premise

The full multi-channel hyperspherical problem can be replaced by one effective potential whose quasiclassical width reproduces the coupled-channel result.

What would settle it

A full coupled-channel hyperspherical calculation of the 17Ne 3/2- width that matches the single-channel quasiclassical value would falsify the claimed overestimate.

Figures

Figures reproduced from arXiv: 1907.11013 by D.A. Kostyleva, L.V. Grigorenko, M.V. Zhukov, O.M. Sukhareva.

**Figure 1.** Figure 1: Decay width calculations for dineutron+dineutron system with radius r0 = 4 fm and diffuseness a = 0.001 fm for different angular momenta by integral formula and quasiclassical approximation. so, in contrast with a two-body case, the centrifugal barrier in the three-body case is never equal to zero. The hyperspherical potentials are matrix elements of the pairwise intercluster potentials over hyperspherical… view at source ↗

**Figure 2.** Figure 2: Decay width calculations for 15F → 14O + p system with r0 = 2.96 fm and diffuseness a = 0.001 fm for different angular momenta by integral formula and quasiclassical approximation. These equations contain the effective adiabatic potentials, which take the form Veff(ρ) = λn(ρ) + 15/4 2M ρ 2 + V3b(ρ) . (12) The adiabatic terms λn(ρ) in this approach have complicated radial behavior: they may intersect. For w… view at source ↗

**Figure 3.** Figure 3: Decay width calculations for 15F → 14O + p system with r0 = 2.96 fm and angular momentum l = 0 for different diffusenesses a by integral formula and quasiclassical approximation. formfactor to reproduce the Q2p = 0.34 MeV in the integral formula formalism. The potentials V3b were also selected in such a way, that for ET > 0 they do not affect the Veff behavior in the barrier region. The long-range behavior… view at source ↗

**Figure 4.** Figure 4: Several lowest terms of the diagonalized potentia [PITH_FULL_IMAGE:figures/full_fig_p008_4.png] view at source ↗

**Figure 5.** Figure 5: Effective single channel potentials Veff for quasi-classical calculations of two-proton width of the 17Ne 3/2 − state. The two-proton decay energy ET is indicated by horizontal dashed line. Our hyperspherical harmonics potentials (gray and orange curves) are obtained by trivial diagonalization of the HH potential matrix from [2]. The dotted, solid and dashed black lines are from [3, 6]. They were obtained … view at source ↗

read the original abstract

Within the hyperspherical harmonics approach the three-body problem is reduced to a motion of one effective particle in a "strongly deformed" field, which is described in coupled-channel formalism. This method is especially suited to studies of phenomena characterized by genuine three-body dynamics, e.g. Borromean haloes and true three-body decays. The reduction of the hyperspherical equations set to a single-channel Schr\"odinger equation provides the basis for the use of the standard quasiclassical expression for calculations of widths for true three-body decays. We demonstrate that the quasiclassical approach by itself is quite precise in application to typical profiles of the three-body effective potentials. However, the reduction to single-channel formalism leads to significant overestimation of the two-proton width $\Gamma_{2p}$. This is demonstrated by the example of the $^{17}$Ne first excited $3/2^-$ state decay, questioning, however, the applicability of such an approximation in general.

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.

Desk Editor's Note private letter to a colleague

The paper shows quasiclassical widths are reliable on typical three-body potentials but single-channel reduction overestimates the 17Ne two-proton width.

read the letter

The main point is that the quasiclassical formula itself holds up when applied to the effective potentials that come out of the hyperspherical approach, but dropping the coupled channels down to a single Schrödinger equation produces a clear overestimate of the two-proton width for the first excited 3/2- state in 17Ne. That is the concrete result they report. The work takes the standard hyperspherical harmonics setup for three-body decays, performs the full coupled-channel calculation, and then compares it to the reduced single-channel version that is often used to justify the quasiclassical width formula. The comparison is the new piece: it flags a quantitative problem with the reduction step rather than with the quasiclassical approximation on its own. This is useful because the single-channel shortcut is common in calculations of true three-body decays in proton-rich nuclei, so a specific counter-example helps people judge when the shortcut is safe. The evidence is numerical and tied to one nucleus and one set of potentials, which limits how far the warning travels. There is no general proof that the overestimate always occurs or how large it becomes under different conditions, and the paper does not explore alternative reductions or quantify the error across a range of states. The central claim rests on the fidelity of their full coupled-channel treatment, which appears internally consistent but is not independently verified here. This is a narrow technical check aimed at people who already work with hyperspherical methods for Borromean systems and two-proton radioactivity. A reader who applies these approximations in their own rate calculations will find the comparison directly relevant. It is the sort of targeted numerical study that belongs in the literature and deserves referee time rather than a desk rejection.

Referee Report

0 major / 0 minor

Summary. The paper investigates the applicability of the quasiclassical approach to true three-body decays within the hyperspherical harmonics method. It states that the quasiclassical approximation is precise for typical three-body effective potentials, but that reducing the coupled-channel hyperspherical equations to a single-channel Schrödinger equation leads to significant overestimation of the two-proton width Γ_{2p}, demonstrated explicitly for the first excited 3/2^- state in 17Ne.

Significance. If the numerical comparison holds, the result is significant for nuclear few-body physics because it identifies a concrete limitation of the single-channel reduction step that is often used to enable quasiclassical width formulas. This targeted observation can inform methodological choices for Borromean systems and true three-body decays without requiring a general theorem.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the careful review and the positive recommendation to accept the manuscript. The referee's summary accurately captures the main results concerning the precision of the quasiclassical approximation versus the overestimation arising from single-channel reduction.

Circularity Check

0 steps flagged

No significant circularity

full rationale

The paper performs a numerical comparison within the hyperspherical harmonics method between the full coupled-channel treatment and the reduced single-channel quasiclassical approximation for three-body decay widths. The central result—that the single-channel reduction overestimates Γ_{2p} for the ^{17}Ne 3/2^- state—is an empirical observation from explicit calculations on specific effective potentials, not a derivation that reduces to fitted inputs or self-citations by construction. No self-definitional steps, fitted parameters renamed as predictions, or load-bearing self-citations appear in the abstract or described logic; the work is self-contained against external benchmarks via direct numerical comparison.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on the validity of the hyperspherical reduction to an effective potential and the subsequent single-channel collapse; no explicit free parameters or invented entities are named in the abstract.

axioms (2)

domain assumption The three-body problem can be reduced to motion of one effective particle in a strongly deformed field via hyperspherical harmonics.
Stated in the first sentence of the abstract as the starting point for the method.
domain assumption Reduction of the coupled hyperspherical equations to a single-channel Schrödinger equation is a valid approximation whose accuracy can be tested by comparison to the full treatment.
This reduction is the step whose consequences are being examined.

pith-pipeline@v0.9.0 · 5711 in / 1484 out tokens · 27041 ms · 2026-05-24T16:00:40.565631+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

28 extracted references · 28 canonical work pages · 6 internal anchors

[1]

Pf¨ utzner, M

M. Pf¨ utzner, M. Karny, L. V . Grigorenko, K. Riisager, Ra dioactive decays at limits of nuclear stability, Rev. Mod. P hys. 84 (2012) 567–619. doi:10.1103/RevModPhys.84.567. 10 URL http://link.aps.org/doi/10.1103/RevModPhys.84.567

work page doi:10.1103/revmodphys.84.567 2012
[2]

L. V . Grigorenko, M. V . Zhukov, Two-proton radioactivity and three-body decay. iii. integral formulas for decay wid ths in a simpliﬁed semianalytical approach, Phys. Rev. C 76 (2007) 014008. doi:10.1103/PhysRevC.76.014008. URL http://link.aps.org/doi/10.1103/PhysRevC.76.014008

work page doi:10.1103/physrevc.76.014008 2007
[3]

Garrido, D

E. Garrido, D. Fedorov, A. Jensen, Three-body structure of the low-lying 17ne-states, Nuclear Physics A 733 (1) (200 4) 85 –

work page
[4]

URL http://www.sciencedirect.com/science/article/pii/S0375947403019870

doi:https://doi.org/10.1016/j.nuclphysa.2003.12.016. URL http://www.sciencedirect.com/science/article/pii/S0375947403019870

work page doi:10.1016/j.nuclphysa.2003.12.016 2003
[5]

Anatomy of three-body decay I. Schematic models

E. Garrido, D. V . Fedorov, A. S. Jensen, H. O. U. Fynbo, Ana tomy of three-body decay I: schematic models, Nuclear Physi cs A 748 (2005) 27–38. arXiv:nucl-th/0411078, doi:10.1016/j.nuclphysa.2004.10.014

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/j.nuclphysa.2004.10.014 2005
[6]

Anatomy of three-body decay II. Decay mechanism and resonance structure

E. Garrido, D. V . Fedorov, A. S. Jensen, H. O. U. Fynbo, Ana tomy of three-body decay II: decay mechanism and resonance structure, Nuclear Physics A 748 (2005) 39–58. arXiv:nucl-th/0411079, doi:10.1016/j.nuclphysa.2004.11.008

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/j.nuclphysa.2004.11.008 2005
[7]

Garrido, A

E. Garrido, A. Jensen, D. Fedorov, Necessary conditions for accurate computations of three-body partial decay widt hs, Phys. Rev. C 78 (2008) 034004

work page 2008
[8]

Above threshold s-wave resonances illustrated by the 1/2$^+$ states in $^9$Be and $^9$B

E. Garrido, D. V . Fedorov, A. S. Jensen, Above threshold s -wave resonances illustrated by the 1/2+ states in 9Be and 9B, Physics Letters B 684 (2010) 132–136. arXiv:1001.0459, doi:10.1016/j.physletb.2009.12.065

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/j.physletb.2009.12.065 2010
[9]

Direct and sequential radiative three-body reaction rates at low temperatures

E. Garrido, R. de Diego, D. V . Fedorov, A. S. Jensen, Direc t and sequential radiative three-body reaction rates at low tempera- tures, European Physical Journal A 47 (2011) 102. arXiv:1108.4811, doi:10.1140/epja/i2011-11102-8

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1140/epja/i2011-11102-8 2011
[10]

D. Hove, A. S. Jensen, H. O. U. Fynbo, N. T. Zinner, D. V . Fed orov, E. Garrido, Capture reactions into Borromean two-pro ton systems at r p waiting points, Phys. Rev. C 93 (2) (2016) 024601. arXiv:1507.01828, doi:10.1103/PhysRevC.93.024601

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevc.93.024601 2016
[11]

D. Hove, E. Garrido, A. S. Jensen, H. O. U. Fynbo, D. V . Fed orov, N. T. Zinner, Structure and Decay at Rapid Proton Captu re Waiting Points, Few-Body Systems 58 (2017) 13. arXiv:1702.06719, doi:10.1007/s00601-016-1161-6

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1007/s00601-016-1161-6 2017
[12]

L. V . Grigorenko, R. C. Johnson, I. G. Mukha, I. J. Thomps on, M. V . Zhukov, Theory of two-proton radioactivity with application to 19mg and 48ni, Phys. Rev. Lett. 85 (2000) 22–25

work page 2000
[13]

Grigorenko, I

L. Grigorenko, I. Mukha, M. Zhukov, Prospective candid ates for the two-proton decay studies i: structure and coulo mb energies of 17ne and 19mg, Nuclear Physics A 713 (3-4) (2003) 372 – 389, erratum Nucl. Ph ys. A740 (2004) 401. doi:http://dx.doi.org/10.1016/S0375-9474(02)01298-8 . URL http://www.sciencedirect.com/science/article/pii/S0375947402012988

work page doi:10.1016/s0375-9474(02)01298-8 2003
[14]

M. V . Zhukov, I. J. Thompson, Existence of proton halos n ear the drip line, Phys. Rev. C 52 (1995) 3505–3508. doi:10.1103/PhysRevC.52.3505. URL http://link.aps.org/doi/10.1103/PhysRevC.52.3505

work page doi:10.1103/physrevc.52.3505 1995
[15]

L. V . Grigorenko, Y . L. Parfenova, M. V . Zhukov, Possibility to study a two-proton halo in 17Ne, Phys. Rev. C 71 (2005) 051604. doi:10.1103/PhysRevC.71.051604. URL http://link.aps.org/doi/10.1103/PhysRevC.71.051604

work page doi:10.1103/physrevc.71.051604 2005
[16]

Parfenova, L

Y . Parfenova, L. Grigorenko, I. Egorova, J. Marganiec, N. Shul’gina, M. Zhukov, From coulex cross sections to nonre sonant astrophysical rates in three-body systems: The 17ne case, Phys. Rev. C 98 (2018) 034608

work page 2018
[17]

Wamers, J

F. Wamers, J. Marganiec, F. Aksouh, Y . Aksyutina, H. Alv arez-Pol, T. Aumann, S. Beceiro-Novo, C. A. Bertulani, K. Bo retzky, M. J. G. Borge, M. Chartier, A. Chatillon, L. V . Chulkov, D. Co rtina-Gil, H. Emling, O. Ershova, L. M. Fraile, H. O. U. Fynbo, D. Galaviz, H. Geissel, M. Heil, D. H. H. Ho ﬀmann, J. Ho ﬀman, H. T. Johansson, B. Jonson, C. Karagi...

work page doi:10.1103/physrevc.97.034612 2018
[18]

G¨ orres, M

J. G¨ orres, M. Wiescher, F.-K. Thielemann, Bridging the waiting points: The role of two-proton capture reactions i n the rp process, Phys. Rev. C 51 (1995) 392–400. doi:10.1103/PhysRevC.51.392. URL http://link.aps.org/doi/10.1103/PhysRevC.51.392

work page doi:10.1103/physrevc.51.392 1995
[19]

L. V . Grigorenko, K. Langanke, N. B. Shul’gina, M. V . Zhu kov, Soft dipole mode in 17ne and the astrophysical 2 p capture on 15o, Phys. Lett. B 641 (2006) 254

work page 2006
[20]

Casal, E

J. Casal, E. Garrido, R. de Diego, J. M. Arias, M. Rodr´ ıguez-Gallardo, Radiative capture reaction for 17Ne formation within a full three-body model, Phys. Rev. C 94 (2016) 054622. doi:10.1103/PhysRevC.94.054622. URL https://link.aps.org/doi/10.1103/PhysRevC.94.054622

work page doi:10.1103/physrevc.94.054622 2016
[21]

L. V . Grigorenko, M. V . Zhukov, Three-body resonant rad ioactive capture reactions in astrophysics, Phys. Rev. C 72 (2005) 015803

work page 2005
[22]

P . G. Sharov, A. S. Fomichev, A. A. Bezbakh, V . Chudoba, I . A. Egorova, M. S. Golovkov, T. A. Golubkova, A. V . Gorshkov, L. V . Grigorenko, G. Kaminski, A. G. Knyazev, S. A. Krupko, M. Mentel, E. Y . Nikolskii, Y . L. Parfen- ova, P . Pluchinski, S. A. Rymzhanova, S. I. Sidorchuk, R. S. S lepnev, S. V . Stepantsov, G. M. Ter-Akopian, R. Wolski, Search...

work page doi:10.1103/physrevc.96.025807 2017
[23]

M. J. Chromik, B. A. Brown, M. Fauerbach, T. Glasmacher, R. Ibbotson, H. Scheit, M. Thoennessen, P . G. Thirolf, Excit ation and decay of the ﬁrst excited state of 17ne, Phys.Rev. C 55 (1997) 1676

work page 1997
[24]

M. J. Chromik, P . G. Thirolf, M. Thoennessen, B. A. Brown , T. Davinson, D. Gassmann, P . Heckman, J. Prisciandaro, P . Reiter, E. Tryggestad, P . J. Woods, Two-proton spectroscopy of low-lying states in 17ne, Phys.Rev. C 66 (2002) 024313

work page 2002
[25]

L. V . Grigorenko, M. V . Zhukov, Two-proton radioactivi ty and three-body decay. iv. connection to quasiclassical f ormulation, Phys. Rev. C 76 (2007) 014009

work page 2007
[26]

Harada, E

K. Harada, E. A. Rauscher, Uniﬁed theory of alpha decay, Phys. Rev. 169 (1968) 818–824. doi:10.1103/PhysRev.169.818. URL https://link.aps.org/doi/10.1103/PhysRev.169.818

work page doi:10.1103/physrev.169.818 1968
[27]

S. G. Kadmenskii, V . E. Kalechits, Alpha decay and nucle ar interactions, Sov. J. Nucl. Phys. 12 (1971) 37

work page 1971
[28]

L. V . Grigorenko, T. D. Wiser, K. Mercurio, R. J. Charity , R. Shane, L. G. Sobotka, J. M. Elson, A. H. Wuosmaa, A. Banu, M. McCleskey, L. Trache, R. E. Tribble, M. V . Zhukov, Three-body decay of 6be, Phys. Rev. C 80 (2009) 034602. doi:10.1103/PhysRevC.80.034602. URL http://link.aps.org/doi/10.1103/PhysRevC.80.034602 12

work page doi:10.1103/physrevc.80.034602 2009

[1] [1]

Pf¨ utzner, M

M. Pf¨ utzner, M. Karny, L. V . Grigorenko, K. Riisager, Ra dioactive decays at limits of nuclear stability, Rev. Mod. P hys. 84 (2012) 567–619. doi:10.1103/RevModPhys.84.567. 10 URL http://link.aps.org/doi/10.1103/RevModPhys.84.567

work page doi:10.1103/revmodphys.84.567 2012

[2] [2]

L. V . Grigorenko, M. V . Zhukov, Two-proton radioactivity and three-body decay. iii. integral formulas for decay wid ths in a simpliﬁed semianalytical approach, Phys. Rev. C 76 (2007) 014008. doi:10.1103/PhysRevC.76.014008. URL http://link.aps.org/doi/10.1103/PhysRevC.76.014008

work page doi:10.1103/physrevc.76.014008 2007

[3] [3]

Garrido, D

E. Garrido, D. Fedorov, A. Jensen, Three-body structure of the low-lying 17ne-states, Nuclear Physics A 733 (1) (200 4) 85 –

work page

[4] [4]

URL http://www.sciencedirect.com/science/article/pii/S0375947403019870

doi:https://doi.org/10.1016/j.nuclphysa.2003.12.016. URL http://www.sciencedirect.com/science/article/pii/S0375947403019870

work page doi:10.1016/j.nuclphysa.2003.12.016 2003

[5] [5]

Anatomy of three-body decay I. Schematic models

E. Garrido, D. V . Fedorov, A. S. Jensen, H. O. U. Fynbo, Ana tomy of three-body decay I: schematic models, Nuclear Physi cs A 748 (2005) 27–38. arXiv:nucl-th/0411078, doi:10.1016/j.nuclphysa.2004.10.014

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/j.nuclphysa.2004.10.014 2005

[6] [6]

Anatomy of three-body decay II. Decay mechanism and resonance structure

E. Garrido, D. V . Fedorov, A. S. Jensen, H. O. U. Fynbo, Ana tomy of three-body decay II: decay mechanism and resonance structure, Nuclear Physics A 748 (2005) 39–58. arXiv:nucl-th/0411079, doi:10.1016/j.nuclphysa.2004.11.008

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/j.nuclphysa.2004.11.008 2005

[7] [7]

Garrido, A

E. Garrido, A. Jensen, D. Fedorov, Necessary conditions for accurate computations of three-body partial decay widt hs, Phys. Rev. C 78 (2008) 034004

work page 2008

[8] [8]

Above threshold s-wave resonances illustrated by the 1/2$^+$ states in $^9$Be and $^9$B

E. Garrido, D. V . Fedorov, A. S. Jensen, Above threshold s -wave resonances illustrated by the 1/2+ states in 9Be and 9B, Physics Letters B 684 (2010) 132–136. arXiv:1001.0459, doi:10.1016/j.physletb.2009.12.065

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/j.physletb.2009.12.065 2010

[9] [9]

Direct and sequential radiative three-body reaction rates at low temperatures

E. Garrido, R. de Diego, D. V . Fedorov, A. S. Jensen, Direc t and sequential radiative three-body reaction rates at low tempera- tures, European Physical Journal A 47 (2011) 102. arXiv:1108.4811, doi:10.1140/epja/i2011-11102-8

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1140/epja/i2011-11102-8 2011

[10] [10]

D. Hove, A. S. Jensen, H. O. U. Fynbo, N. T. Zinner, D. V . Fed orov, E. Garrido, Capture reactions into Borromean two-pro ton systems at r p waiting points, Phys. Rev. C 93 (2) (2016) 024601. arXiv:1507.01828, doi:10.1103/PhysRevC.93.024601

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevc.93.024601 2016

[11] [11]

D. Hove, E. Garrido, A. S. Jensen, H. O. U. Fynbo, D. V . Fed orov, N. T. Zinner, Structure and Decay at Rapid Proton Captu re Waiting Points, Few-Body Systems 58 (2017) 13. arXiv:1702.06719, doi:10.1007/s00601-016-1161-6

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1007/s00601-016-1161-6 2017

[12] [12]

L. V . Grigorenko, R. C. Johnson, I. G. Mukha, I. J. Thomps on, M. V . Zhukov, Theory of two-proton radioactivity with application to 19mg and 48ni, Phys. Rev. Lett. 85 (2000) 22–25

work page 2000

[13] [13]

Grigorenko, I

L. Grigorenko, I. Mukha, M. Zhukov, Prospective candid ates for the two-proton decay studies i: structure and coulo mb energies of 17ne and 19mg, Nuclear Physics A 713 (3-4) (2003) 372 – 389, erratum Nucl. Ph ys. A740 (2004) 401. doi:http://dx.doi.org/10.1016/S0375-9474(02)01298-8 . URL http://www.sciencedirect.com/science/article/pii/S0375947402012988

work page doi:10.1016/s0375-9474(02)01298-8 2003

[14] [14]

M. V . Zhukov, I. J. Thompson, Existence of proton halos n ear the drip line, Phys. Rev. C 52 (1995) 3505–3508. doi:10.1103/PhysRevC.52.3505. URL http://link.aps.org/doi/10.1103/PhysRevC.52.3505

work page doi:10.1103/physrevc.52.3505 1995

[15] [15]

L. V . Grigorenko, Y . L. Parfenova, M. V . Zhukov, Possibility to study a two-proton halo in 17Ne, Phys. Rev. C 71 (2005) 051604. doi:10.1103/PhysRevC.71.051604. URL http://link.aps.org/doi/10.1103/PhysRevC.71.051604

work page doi:10.1103/physrevc.71.051604 2005

[16] [16]

Parfenova, L

Y . Parfenova, L. Grigorenko, I. Egorova, J. Marganiec, N. Shul’gina, M. Zhukov, From coulex cross sections to nonre sonant astrophysical rates in three-body systems: The 17ne case, Phys. Rev. C 98 (2018) 034608

work page 2018

[17] [17]

Wamers, J

F. Wamers, J. Marganiec, F. Aksouh, Y . Aksyutina, H. Alv arez-Pol, T. Aumann, S. Beceiro-Novo, C. A. Bertulani, K. Bo retzky, M. J. G. Borge, M. Chartier, A. Chatillon, L. V . Chulkov, D. Co rtina-Gil, H. Emling, O. Ershova, L. M. Fraile, H. O. U. Fynbo, D. Galaviz, H. Geissel, M. Heil, D. H. H. Ho ﬀmann, J. Ho ﬀman, H. T. Johansson, B. Jonson, C. Karagi...

work page doi:10.1103/physrevc.97.034612 2018

[18] [18]

G¨ orres, M

J. G¨ orres, M. Wiescher, F.-K. Thielemann, Bridging the waiting points: The role of two-proton capture reactions i n the rp process, Phys. Rev. C 51 (1995) 392–400. doi:10.1103/PhysRevC.51.392. URL http://link.aps.org/doi/10.1103/PhysRevC.51.392

work page doi:10.1103/physrevc.51.392 1995

[19] [19]

L. V . Grigorenko, K. Langanke, N. B. Shul’gina, M. V . Zhu kov, Soft dipole mode in 17ne and the astrophysical 2 p capture on 15o, Phys. Lett. B 641 (2006) 254

work page 2006

[20] [20]

Casal, E

J. Casal, E. Garrido, R. de Diego, J. M. Arias, M. Rodr´ ıguez-Gallardo, Radiative capture reaction for 17Ne formation within a full three-body model, Phys. Rev. C 94 (2016) 054622. doi:10.1103/PhysRevC.94.054622. URL https://link.aps.org/doi/10.1103/PhysRevC.94.054622

work page doi:10.1103/physrevc.94.054622 2016

[21] [21]

L. V . Grigorenko, M. V . Zhukov, Three-body resonant rad ioactive capture reactions in astrophysics, Phys. Rev. C 72 (2005) 015803

work page 2005

[22] [22]

P . G. Sharov, A. S. Fomichev, A. A. Bezbakh, V . Chudoba, I . A. Egorova, M. S. Golovkov, T. A. Golubkova, A. V . Gorshkov, L. V . Grigorenko, G. Kaminski, A. G. Knyazev, S. A. Krupko, M. Mentel, E. Y . Nikolskii, Y . L. Parfen- ova, P . Pluchinski, S. A. Rymzhanova, S. I. Sidorchuk, R. S. S lepnev, S. V . Stepantsov, G. M. Ter-Akopian, R. Wolski, Search...

work page doi:10.1103/physrevc.96.025807 2017

[23] [23]

M. J. Chromik, B. A. Brown, M. Fauerbach, T. Glasmacher, R. Ibbotson, H. Scheit, M. Thoennessen, P . G. Thirolf, Excit ation and decay of the ﬁrst excited state of 17ne, Phys.Rev. C 55 (1997) 1676

work page 1997

[24] [24]

M. J. Chromik, P . G. Thirolf, M. Thoennessen, B. A. Brown , T. Davinson, D. Gassmann, P . Heckman, J. Prisciandaro, P . Reiter, E. Tryggestad, P . J. Woods, Two-proton spectroscopy of low-lying states in 17ne, Phys.Rev. C 66 (2002) 024313

work page 2002

[25] [25]

L. V . Grigorenko, M. V . Zhukov, Two-proton radioactivi ty and three-body decay. iv. connection to quasiclassical f ormulation, Phys. Rev. C 76 (2007) 014009

work page 2007

[26] [26]

Harada, E

K. Harada, E. A. Rauscher, Uniﬁed theory of alpha decay, Phys. Rev. 169 (1968) 818–824. doi:10.1103/PhysRev.169.818. URL https://link.aps.org/doi/10.1103/PhysRev.169.818

work page doi:10.1103/physrev.169.818 1968

[27] [27]

S. G. Kadmenskii, V . E. Kalechits, Alpha decay and nucle ar interactions, Sov. J. Nucl. Phys. 12 (1971) 37

work page 1971

[28] [28]

L. V . Grigorenko, T. D. Wiser, K. Mercurio, R. J. Charity , R. Shane, L. G. Sobotka, J. M. Elson, A. H. Wuosmaa, A. Banu, M. McCleskey, L. Trache, R. E. Tribble, M. V . Zhukov, Three-body decay of 6be, Phys. Rev. C 80 (2009) 034602. doi:10.1103/PhysRevC.80.034602. URL http://link.aps.org/doi/10.1103/PhysRevC.80.034602 12

work page doi:10.1103/physrevc.80.034602 2009