Microscopic description of average level spacing in even-even nuclei

41st Vietnam National Conference on Theoretical Physics

Huong, Le Thi Quynh^1,2,3 ; Hung, Nguyen Quang^1 ; Phuc, And Le Tan^1,3

Institute of Research and Development, Duy Tan University, K7/25 Quang Trung, Danang city, Viet Nam^1

Department of Natural Science and Technology, University of Khanh Hoa, Nha Trang City, Khanh Hoa Province, Viet Nam^2

Faculty of Physics and Engineering Physics, Ho Chi Minh University of Science, Ho Chi Minh City, Viet Nam^3

关键词: Bardeen-Cooper-Schrieffer theory;    Even-even nuclei;    Finite temperatures;    Microscopic description;    Neutron binding energy;    Numerical calculation;    Superfluid properties;    Theoretical approach;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/865/1/012011/pdf
DOI  :  10.1088/1742-6596/865/1/012011

来源: IOP

【 摘 要 】

A microscopic theoretical approach to the average level spacing at the neutron binding energy in even-even nuclei is proposed. The approach is derived based on the Bardeen-Cooper-Schrieffer (BCS) theory at finite temperature and projection M of the total angular momentum J, which is often used to describe the superfluid properties of hot rotating nuclei. The exact relation of the J-dependent total level density to the M-dependent state densities, based on which the average level spacing is calculated, was employed. The numerical calculations carried out for several even-even nuclei have shown that in order to reproduce the experimental average level spacing, the M-dependent pairing gaps as well as the exact relation of the J-dependent total level density formula should be simultaneously used.