Nuclear states projected from a pair condensate
Abstract
Atomic nuclei exhibit deformation, pairing correlations, and rotational symmetries. To meet these competing demands in a computationally tractable formalism, we revisit the use of general pair condensates with good particle number as a trial wave function for even-even nuclei. After minimizing the energy of the condensate, allowing for general triaxial deformations, we project out states with good angular momentum with a fast projection technique. To show applicability, we present example calculations from pair condensates in several model spaces and compare against angular-momentum projected Hartree-Fock and full configuration-interaction shell-model calculations. This approach successfully generates spherical, vibrational, and rotational spectra, demonstrating potential for modeling medium- to heavy-mass nuclei.
- Authors:
-
[1];
[2];
[3];
[4]
- Qufu Normal University (China)
- Southwest University of Science and Technology, Mianyang (China)
- San Diego State Univ., CA (United States)
- Shanghai Maritime University (China)
- Publication Date:
- Research Org.:
- San Diego State Univ., CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); National Natural Science Foundation of China (NSFC)
- OSTI Identifier:
- 1979865
- Grant/Contract Number:
- FG02-03ER41272; 1705100; 12175115; 201909118; 2020KJJ004; 2019JDRC0017; 18zx7147
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. C
- Additional Journal Information:
- Journal Volume: 105; Journal Issue: 3; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Physics; collective levels; electromagnetic transitions; energy levels & level densities; nucleon-nucleon interactions; projective symmetries; variational approach
Citation Formats
Lu, Yi, Lei, Yang, Johnson, Calvin W., and Shen, Jia Jie. Nuclear states projected from a pair condensate. United States: N. p., 2022.
Web. doi:10.1103/physrevc.105.034317.
Lu, Yi, Lei, Yang, Johnson, Calvin W., & Shen, Jia Jie. Nuclear states projected from a pair condensate. United States. https://doi.org/10.1103/physrevc.105.034317
Lu, Yi, Lei, Yang, Johnson, Calvin W., and Shen, Jia Jie. Thu .
"Nuclear states projected from a pair condensate". United States. https://doi.org/10.1103/physrevc.105.034317. https://www.osti.gov/servlets/purl/1979865.
@article{osti_1979865,
title = {Nuclear states projected from a pair condensate},
author = {Lu, Yi and Lei, Yang and Johnson, Calvin W. and Shen, Jia Jie},
abstractNote = {Atomic nuclei exhibit deformation, pairing correlations, and rotational symmetries. To meet these competing demands in a computationally tractable formalism, we revisit the use of general pair condensates with good particle number as a trial wave function for even-even nuclei. After minimizing the energy of the condensate, allowing for general triaxial deformations, we project out states with good angular momentum with a fast projection technique. To show applicability, we present example calculations from pair condensates in several model spaces and compare against angular-momentum projected Hartree-Fock and full configuration-interaction shell-model calculations. This approach successfully generates spherical, vibrational, and rotational spectra, demonstrating potential for modeling medium- to heavy-mass nuclei.},
doi = {10.1103/physrevc.105.034317},
journal = {Physical Review. C},
number = 3,
volume = 105,
place = {United States},
year = {Thu Mar 17 00:00:00 EDT 2022},
month = {Thu Mar 17 00:00:00 EDT 2022}
}
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