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

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 fo...

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Bibliographic Details
Published in:The European physical journal. A, Hadrons and nuclei Hadrons and nuclei, 2021, Vol.57 (3)
Main Authors: Le, Thi Quynh Huong, Tran, Dong Xuan, Nguyen, Ngoc Anh, Nguyen, Quang Hung
Format: Article
Language:English
Subjects:
Density
Hadrons
Heavy Ions
Investigations
Mathematical models
Molybdenum isotopes
Nuclear Fusion
Nuclear Physics
Nuclei
Parameterization
Parameters
Particle and Nuclear Physics
Phase transitions
Physics
Physics and Astronomy
Regular Article – Theoretical Physics
Specific heat
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Summary: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.
ISSN:1434-6001
1434-601X
DOI:10.1140/epja/s10050-021-00430-x