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

Pan, Feng; Ding, Xiaoxue; Launey, Kristina D.; Dai, Lianrong; Draayer, Jerry P.

doi:10.1016/j.physletb.2018.02.054

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:

; Ding, Xiaoxue; Launey, Kristina D.; Dai, Lianrong; Draayer, Jerry P.

Publication Date:: Tue May 01 00:00:00 EDT 2018

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); USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); National Natural Science Foundation of China (NSFC)

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.

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                    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.  https://doi.org/10.1016/j.physletb.2018.02.054

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                    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.  https://doi.org/10.1016/j.physletb.2018.02.054.

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@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         = {Tue May 01 00:00:00 EDT 2018},

  month        = {Tue May 01 00:00:00 EDT 2018}

}

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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

Exact isovector pairing in a shell-model framework: Role of proton-neutron correlations in isobaric analog states
journal, December 2019

Miora, M. E.; Launey, K. D.; Kekejian, D.
Physical Review C, Vol. 100, Issue 6
DOI: 10.1103/physrevc.100.064310

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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

Citation Formats

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

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

Exact isovector pairing in a shell-model framework: Role of proton-neutron correlations in isobaric analog states journal, December 2019

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

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

Exact isovector pairing in a shell-model framework: Role of proton-neutron correlations in isobaric analog states
journal, December 2019