Eur. Phys. J. A (2021) 57: 109
https://doi.org/10.1140/epja/s10050-021-00430-x

Regular Article – Theoretical Physics

Re-investigation of heat capacity and paring phase transition in hot ${}^{93-98}$Mo nuclei

¹ Department of Natural Science and Technology, Khanh Hoa University, 650000, Nha Trang City, Khanh Hoa Province, Vietnam
² Institute of Fundamental and Applied Sciences, Duy Tan University, 700000, Ho Chi Minh City, Vietnam
³ Faculty of Natural Sciences, Duy Tan University, 550000, Danang City, Vietnam
⁴ Dalat Nuclear Research Institute, Vietnam Atomic Energy Institute, 01 Nguyen Tu Luc, 670000, Dalat City, Vietnam

^a lethiquynhhuong@ukh.edu.vn
^d nguyenquanghung5@duytan.edu.vn

Received: 26 December 2020
Accepted: 18 March 2021
Published online: 30 March 2021

Abstract

The empirical heat capacities of ${}^{93-98}$Mo nuclei are re-investigated by using the latest updated and recommended nuclear level density (NLD) data below the neutron binding energy $B_n$ combined with the back-shifted Fermi-gas (BSFG) model for the energy region above $B_n$. For the latter, the BSFG formula with energy-dependent level density parameter is used and the new parameterization has been carried out in order to obtain the best fit to the new NLD data in the whole data range. The results obtained show that the S-shaped heat capacity, a fingerprint of the pairing phase transition, is more pronounced in even ${}^{94,96,98}$Mo nuclei than that in odd ${}^{93,95,97}$Mo isotopes. This result is different with those obtained in two previous studies by Chankova et al. (Phys Rev C 73:034311, 2006) and Kaneko et al. (Phys Rev C 74:024325, 2006), in which the old NLD data and the BSFG model with energy-independent level density parameter were used. Moreover, the present work suggests that the very strong S-shape observed in the heat capacities of both even and odd Molybdenum isotopes by Kaneko et al. (Phys Rev C 74:024325, 2006) should be re-investigated. The present work also suggests that to obtain the correct heat capacity and associated pairing phase transition in excited nuclei, one should use the correct NLD data and the best fitted BSFG NLD in the entire region where the experimental data are available.