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Title: Exact solution of mean-field plus an extended T = 1 nuclear pairing Hamiltonian in the seniority-zero symmetric subspace

Abstract

An extended pairing Hamiltonian that describes multi-pair interactions among isospin T = 1 and angular momentum J = 0 neutron–neutron, proton–proton, and neutron–proton pairs in a spherical mean field, such as the spherical shell model, is proposed based on the standard T= 1 pairing formalism. The advantage of the model lies in the fact that numerical solutions within the seniority-zero symmetric subspace can be obtained more easily and with less computational time than those calculated from the mean-field plus standard pairing model. Thus, large-scale calculations within the seniority-zero symmetric subspace of the model is feasible. As an example of the application, the average neutron–proton interaction in even–even N~Z nuclei that can be suitably described in the f5pg9 shell is estimated in the present model, with a focus on the role of np-pairing correlations.

Authors:
ORCiD logo; ; ; ;
Publication Date:
Research Org.:
Louisiana State Univ., Baton Rouge, LA (United States); Texas A & M Univ., College Station, TX (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Science Foundation (NSF); National Natural Science Foundation of China (NNSFC)
OSTI Identifier:
1422655
Alternate Identifier(s):
OSTI ID: 1545098
Grant/Contract Number:  
SC0005248; SC0009971; 9961
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 780 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; T = 1; pairing interaction; Exact solution; np-pairing correlations

Citation Formats

Pan, Feng, Ding, Xiaoxue, Launey, Kristina D., Dai, Lianrong, and Draayer, Jerry P. Exact solution of mean-field plus an extended T = 1 nuclear pairing Hamiltonian in the seniority-zero symmetric subspace. Netherlands: N. p., 2018. Web. doi:10.1016/j.physletb.2018.02.054.
Pan, Feng, Ding, Xiaoxue, Launey, Kristina D., Dai, Lianrong, & Draayer, Jerry P. Exact solution of mean-field plus an extended T = 1 nuclear pairing Hamiltonian in the seniority-zero symmetric subspace. Netherlands. doi:10.1016/j.physletb.2018.02.054.
Pan, Feng, Ding, Xiaoxue, Launey, Kristina D., Dai, Lianrong, and Draayer, Jerry P. Tue . "Exact solution of mean-field plus an extended T = 1 nuclear pairing Hamiltonian in the seniority-zero symmetric subspace". Netherlands. doi:10.1016/j.physletb.2018.02.054.
@article{osti_1422655,
title = {Exact solution of mean-field plus an extended T = 1 nuclear pairing Hamiltonian in the seniority-zero symmetric subspace},
author = {Pan, Feng and Ding, Xiaoxue and Launey, Kristina D. and Dai, Lianrong and Draayer, Jerry P.},
abstractNote = {An extended pairing Hamiltonian that describes multi-pair interactions among isospin T = 1 and angular momentum J = 0 neutron–neutron, proton–proton, and neutron–proton pairs in a spherical mean field, such as the spherical shell model, is proposed based on the standard T= 1 pairing formalism. The advantage of the model lies in the fact that numerical solutions within the seniority-zero symmetric subspace can be obtained more easily and with less computational time than those calculated from the mean-field plus standard pairing model. Thus, large-scale calculations within the seniority-zero symmetric subspace of the model is feasible. As an example of the application, the average neutron–proton interaction in even–even N~Z nuclei that can be suitably described in the f5pg9 shell is estimated in the present model, with a focus on the role of np-pairing correlations.},
doi = {10.1016/j.physletb.2018.02.054},
journal = {Physics Letters B},
number = C,
volume = 780,
place = {Netherlands},
year = {2018},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1016/j.physletb.2018.02.054

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Works referencing / citing this record:

Isovector plus isoscalar neutron–proton pairing effect on nuclear statistical quantities using a path integral approach
journal, June 2018

  • Mokhtari, D.; Allal, N. H.; Fellah, M.
  • International Journal of Modern Physics E, Vol. 27, Issue 06
  • DOI: 10.1142/s0218301318500544

Isovector plus isoscalar neutron–proton pairing effect on nuclear statistical quantities using a path integral approach
journal, June 2018

  • Mokhtari, D.; Allal, N. H.; Fellah, M.
  • International Journal of Modern Physics E, Vol. 27, Issue 06
  • DOI: 10.1142/s0218301318500544