Beyond the 2-body Interaction Paradigm in Modeling Nuclear Structure

Vesselin G. Gueorguiev

doi:10.11804/NuclPhysRev.34.01.105

We discuss modeling of nuclear structure beyond the 2-body interaction paradigm. Our first example is related to the need of three nucleon contact interaction terms suggested by chiral perturbation theory. The relationship of the two low-energy effective coupling parameters for the relevant three nucleon contact interaction terms c_D and c_E that reproduce the binding energy of ³H and ³He has been emphasized and the physically relevant parameter region has been ilustrated using the binding energy of ⁴He. Further justification of A-body interaction terms is outlined based on the Okubo-Lee-Suzuki effective interaction method used in solving the nuclear many-body problem within a finite model space. The third example we use is an exactly solvable A-body extended paring interaction applied to heavy nuclei with a long isotopic chain; in particular using ¹³²Sn as closed core system illustrates a remarkable relationship between the extended pairing strength G(A) and the size of the valence space dim(A) for the members of the Sn-isotope chain: G(A)=αdim(A)^-β with α=259.436 and β =0.9985 which is actually a one parameter expression since β is practically 1. These three cases present evidence for the need of better understanding of the NNN-, NNNN-, and A-body interactions in nuclei either derived from ChPT or from a phenomenological considerations.

Beyond the 2-body Interaction Paradigm in Modeling Nuclear Structure

1. Institute for Advanced Physical Studies, 21 Montevideo Street, Sofia 1618, Bulgaria;

2. Sichuan University-Pittsburgh Institute, Sichuan University, Chengdu 610207, China

Received Date: 2016-08-24

Rev Recd Date: 2017-02-23

Publish Date: 2017-03-20

Key words:

Abstract: We discuss modeling of nuclear structure beyond the 2-body interaction paradigm. Our first example is related to the need of three nucleon contact interaction terms suggested by chiral perturbation theory. The relationship of the two low-energy effective coupling parameters for the relevant three nucleon contact interaction terms c_D and c_E that reproduce the binding energy of ³H and ³He has been emphasized and the physically relevant parameter region has been ilustrated using the binding energy of ⁴He. Further justification of A-body interaction terms is outlined based on the Okubo-Lee-Suzuki effective interaction method used in solving the nuclear many-body problem within a finite model space. The third example we use is an exactly solvable A-body extended paring interaction applied to heavy nuclei with a long isotopic chain; in particular using ¹³²Sn as closed core system illustrates a remarkable relationship between the extended pairing strength G(A) and the size of the valence space dim(A) for the members of the Sn-isotope chain: G(A)=αdim(A)^-β with α=259.436 and β =0.9985 which is actually a one parameter expression since β is practically 1. These three cases present evidence for the need of better understanding of the NNN-, NNNN-, and A-body interactions in nuclei either derived from ChPT or from a phenomenological considerations.

HTML

Reference (25)

[1]	MACHLEIDT R, ENTEM D R. J Phys G, 2005, 31: S1235.
[2]	NAVRÁTIL P, GUEORGUIEV V G, VARY J P, et al. Phys Rev Lett, 2007, 99: 042501.
[3]	COON S A, SCADRON M D, MCNAMEE P C, et al. Nucl Phys A, 1979, 317: 242.
[4]	FRIAR J L, HBER D, VAN KOLCK U. Phys Rev C, 1999, 59: 53.
[5]	COON S A, HAN H K. Few-Body Systems, 2001, 30: 131.
[6]	BERNARD V, EPELBAUM E, KREBS H, et al. Phys Rev C, 2008, 77: 064004.
[7]	OKUBO S. Prog Theor Phys, 1954, 12: 603.
[8]	SUZUKI K, LEE S Y. Prog Theor Phys, 1980, 64: 2091.
[9]	FENG PAN, GUEORGUIEV V G, DRAAYER J P. Phys Rev Lett, 2004, 92: 112503.
[10]	GUEORGUIEV V G, FENG PAN, DRAAYER J P. arXiv:nucl-th/0403055.
[11]	GUEORGUIEV V G, PAN Feng, DRAAYER J P. Eur Phys J A, 2005, 25(s1): 515.
[12]	ENTEM D R, MACHLEIDT R. Phys Rev C, 2003, 68: R041001.
[13]	WIRINGA R B, ARRIAGA A, PANDHARIPANDE V R. Phys Rev C, 2003, 68: 054006.
[14]	HAXEL O, JENSEN J, SUESS H. Phys Rev, 1949, 75: 1766.
[15]	WIRINGA R B, STOKS V G J, SCHIAVILLA R. Phys Rev C, 1995, 51: 38.
[16]	MACHLEIDT R. Phys Rev C, 2001, 63: 024001.
[17]	STOKS V G J, Klomp R A M, Terheggen C P F, et al. Phys Rev C, 1994, 49: 2950.
[18]	PUDLINER B S, PANDHARIPANDE V R, CARLSON J, et al. Phys Rev Lett, 1995, 74: 4396.
[19]	EPELBAUM E, NOGGA A, GLÖCKLE W, et al. Phys Rev C, 2002, 66: 064001.
[20]	GAZIT D, QUAGLIONI S, NAVRATIL P. Phys Rev Lett, 2009, 103: 102502.
[21]	KAMUNTAVICIUS G P, NAVRÁTil P, BARRETT B R, et al. Phys Rev C, 1999, 60: 044304.
[22]	NAVRATIL P, ORMAND W E. Phys Rev C,2003,68: 034305.
[23]	DUKELSKY J, GUEORGUIEV V G, VAN ISACKER P, et al. Phys Rev Lett, 2006, 96: 072503.
[24]	MÖLLER P, NIX J R, KRATZ K L. At Data Nucl Data Tables, 1997, 66: 131.
[25]	AUDI G, BERSILLON O, BLACHOT J, et al. Nucl Phys A, 1997, 624: 1.

Beyond the 2-body Interaction Paradigm in Modeling Nuclear Structure

doi: 10.11804/NuclPhysRev.34.01.105

Abstract

References

Proportional views

通讯作者: 陈斌, bchen63@163.com

Article Metrics

Proportional views