Pion-less effective field theory for atomic nuclei and lattice nuclei

被引：52

作者：

Bansal, A. ^{[1
]}

Binder, S. ^{[1
,2
]}

Ekstrom, A. ^{[2
,3
]}

Hagen, G. ^{[1
,2
]}

Jansen, G. R. ^{[2
,4
]}

Papenbrock, T. ^{[1
,2
]}

机构：

[1] Univ Tennessee, Dept Phys & Astron, Knoxville, TN 37996 USA

[2] Oak Ridge Natl Lab, Div Phys, Oak Ridge, TN 37831 USA

[3] Chalmers Univ Technol, Dept Phys, SE-41296 Gothenburg, Sweden

[4] Oak Ridge Natl Lab, Natl Ctr Computat Sci, Oak Ridge, TN 37831 USA

来源：

PHYSICAL REVIEW C | 2018年 / 98卷 / 05期

基金：

瑞典研究理事会;

关键词：

VOLUME DEPENDENCE; 3-BOSON SYSTEM; SHELL-MODEL; SCATTERING; FORCES; RENORMALIZATION; CONSTANTS; PROTON; STATES; HE-4;

D O I：

10.1103/PhysRevC.98.054301

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We compute the medium-mass nuclei O-16 and Ca-40 using pion-less effective field theory (EFT) at next-to-leading order (NLO). The low-energy coefficients of the EFT Hamiltonian are adjusted to experimental data for nuclei with mass numbers A = 2 and 3, or alternatively to results from lattice quantum chromodynamics at an unphysical pion mass of 806 MeV. The EFT is implemented through a discrete variable representation in the harmonic oscillator basis. This approach ensures rapid convergence with respect to the size of the model space and facilitates the computation of medium-mass nuclei. At NLO the nuclei O-16 and Ca-40 are bound with respect to decay into alpha particles. Binding energies per nucleon are 9-10 MeV and 21-40 MeV at pion masses of 140 and 806 MeV, respectively.

引用

页数：26

共 108 条

[51] NEW L2 APPROACH TO QUANTUM SCATTERING - THEORY [J].

HELLER, EJ ;

YAMANI, HA .

PHYSICAL REVIEW A, 1974, 9 (03) :1201-1208

[52] The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei [J].

Hergert, H. ;

Bogner, S. K. ;

Morris, T. D. ;

Schwenk, A. ;

Tsukiyama, K. .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2016, 621 :165-222

[53] αα scattering in halo effective field theory [J].

Higa, R. ;

Hammer, H. -W. ;

van Kolck, U. .

NUCLEAR PHYSICS A, 2008, 809 (3-4) :171-188

[54] Medium-heavy nuclei from nucleon-nucleon interactions in lattice QCD [J].

Inoue, Takashi ;

Aoki, Sinya ;

Charron, Bruno ;

Doi, Takumi ;

Hatsuda, Tetsuo ;

Ikeda, Yoichi ;

Ishii, Noriyoshi ;

Murano, Keiko ;

Nemura, Hidekatsu ;

Sasaki, Kenji .

PHYSICAL REVIEW C, 2015, 91 (01)

[55] Nuclear force from lattice QCD [J].

Ishii, N. ;

Aoki, S. ;

Hatsuda, T. .

PHYSICAL REVIEW LETTERS, 2007, 99 (02)

[56]

Jeffrey A., 2007, Table of integrals, series, and products

[57] The three-boson system at next-to-leading order in an effective field theory for systems with a large scattering length [J].

Ji, Chen ;

Phillips, Daniel R. ;

Platter, Lucas .

ANNALS OF PHYSICS, 2012, 327 (07) :1803-1824

[58] Evolving nuclear many-body forces with the similarity renormalization group [J].

Jurgenson, E. D. ;

Navratil, P. ;

Furnstahl, R. J. .

PHYSICAL REVIEW C, 2011, 83 (03)

[59] A new expansion for nucleon-nucleon interactions [J].

Kaplan, DB ;

Savage, MJ ;

Wise, MB .

PHYSICS LETTERS B, 1998, 424 (3-4) :390-396

[60] Universal correlations in pion-less EFT with the resonating group method: Three and four nucleons [J].

Kirscher, J. ;

Griesshammer, H. W. ;

Shukla, D. ;

Hofmann, H. M. .

EUROPEAN PHYSICAL JOURNAL A, 2010, 44 (02) :239-256

← 1 2 3 4 5 6 7 8 9 10 →