# 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 f_{5}pg_{9} shell is estimated in the present model, with a focus on the role of np-pairing correlations.

- Authors:

- 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}

}

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

##
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