Updated heat capacities of \(^{161-164}\)Dy nuclei
Author affiliations
DOI:
https://doi.org/10.15625/0868-3166/17582Keywords:
Nuclear level density, back-shifted Fermi-gas model, heat capacity, 161−164Dy nucleiAbstract
This work presents the updated heat capacities of \(^{161-164}\)Dy nuclei in the nuclear temperature region from 0 to 1 MeV. The updated heat capacities are obtained within the canonical ensemble method making use of the most recent and recommended experimental nuclear level density (NLD) data together with those calculated within the back-shifted Fermi gas (BSFG) model with energy-dependent parameters. By comparing the updated heat capacities with the un-updated ones, which are obtained by using the old experimental NLD data and the BSFG with energy-independent parameters, we found that the updated and un-updated heat capacities are almost identical at low temperature, but differ from each others at high temperature. This discrepancy can be interpreted by the damping of nuclear shell structure with increasing the excitation energy. Besides, we observe that the S-shape in the updated heat capacities is much more pronounced in even-even Dy isotopes than in even-odd ones, whereas the un-updated heat capacities do not clearly exhibit this S-shape. Therefore, the updated heat capacities should provide a more convincing evidence for the signature of pairing phase transition in nuclear systems.
Downloads
Metrics
References
R. Rossignoli, N. Canosa and P. Ring, Thermal and quantal fluctuations for fixed particle number in finite superfluid systems, Phys. Rev. Lett. 80 (1998) 1853.
S. Liu and Y. Alhassid, Signature of a pairing transition in the heat capacity of finite nuclei, Phys. Rev. Lett. 87 (2001) 022501.
Y. Alhassid, G. F. Bertsch and L. Fang, Nuclear level statistics: Extending shell model theory to higher temperatures, Phys. Rev. C 68 (2003) 044322.
J. L. Egido, L. M. Robledo and V. Martin, Behavior of shell effects with the excitation energy in atomic nuclei, Phys. Rev. Lett. 85 (2000) 26.
A. Belic´, D. Dean and M. Hjorth-Jensen, Pairing correlations and transitions in nuclear systems, Nucl. Phys. A 731 (2004) 381.
N. Q. Hung, N. D. Dang and L. G. Moretto, Pairing in excited nuclei: a review, Rep. Prog. Phys. 82 (2019) 056301.
A. Schiller, A. Bjerve, M. Guttormsen, M. Hjorth-Jensen, F. Ingebretsen, E. Melby et al., Critical temperature for quenching of pair correlations, Phys. Rev. C 63 (2001) 021306.
R. Chankova, A. Schiller, U. Agvaanluvsan, E. Algin, L. A. Bernstein, M. Guttormsen et al., Level densities and thermodynamical quantities of heated 93−98Mo isotopes, Phys. Rev. C 73 (2006) 034311.
B. Dey, D. Pandit, S. Bhattacharya, N. Q. Hung, N. D. Dang, L. T. Phuc et al., Level density and thermodynamics in the hot rotating 96Tc nucleus, Phys. Rev. C 96 (2017) 054326.
B. Dey, N. Q. Hung, D. Pandit, S. Bhattacharya, N. D. Dang, L. T. Q. Huong et al., S-shaped heat capacity in an odd-odd deformed nucleus, Phys. Lett. B 789 (2019) 634.
T. D. Xuan, N. Q. Hung, V. D. Cong, N. N. Anh et al., Investigation of empirical heat capacity in hot-rotating A∼ 200 nuclei, Journal of Physics G: Nucl. Part. Phys. 49 (2022) 105102.
M. Guttormsen, B. Jurado, J. N. Wilson, M. Aiche, L. A. Bernstein, Q. Ducasse et al., Constant-temperature level densities in the quasicontinuum of Th and U isotopes, Phys. Rev. C 88 (2013) 024307.
L. T. Q. Huong, T. D. Xuan, N. N. Anh and N. Q. Hung, Re-investigation of heat capacity and paring phase transition in hot 93−98Mo nuclei, Eur. Phys. J. A 57 (2021) 1.
M. Guttormsen, A. Bagheri, R. Chankova, J. Rekstad, S. Siem, A. Schiller et al., Thermal properties and radiative strengths in 160,161,162Dy, Phys. Rev. C 68 (2003) 064306.
H. T. Nyhus, S. Siem, M. Guttormsen, A. C. Larsen, A. Burger, N. U. H. Syed et al., ¨ Level density and thermodynamic properties of dysprosium isotopes, Phys. Rev. C 85 (2012) 014323.
T. V. Egidy and D. Bucurescu, Systematics of nuclear level density parameters, Phys. Rev. C 72 (2005) 044311.
T. Renstrøm, H. Utsunomiya, H. T. Nyhus, A. C. Larsen, M. Guttormsen, G. M. Tveten et al., Verification of detailed balance for γ absorption and emission in Dy isotopes, Phys. Rev. C 98 (2018) 054310.
A. Bohr and B. R. Mottelson, Nuclear Structure: Volume 1. Benjamin, New York, 1969.
A. Gilbert and A. G. W. Cameron, A composite nuclear-level density formula with shell corrections, Can. J. Phys. 43 (1965) 1446.
A. V. Ignatyuk, G. N. Smirenkin and A. S. Tishin, Phenomenological description of the energy dependence of the level density parameter, Yad. Fiz. 21 (1975) 485.
A. V. Ignatyuk, K. K. Istekov and G. N. Smirenkin, Role of the collective effects in a systematics of nuclear level density, Yad. Fiz. 29 (1979) 875.
R. Capote, M. Herman, P. Oblozinsky, P. G. Young, S. Goriely, T. Belgya et al., “Reference input parameter library (ripl-3).” https://www-nds.iaea.org/RIPL-3/.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with CIP agree with the following terms:- The manuscript is not under consideration for publication elsewhere. When a manuscript is accepted for publication, the author agrees to automatic transfer of the copyright to the editorial office.
- The manuscript should not be published elsewhere in any language without the consent of the copyright holders. Authors have the right to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal’s published version of their work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are encouraged to post their work online (e.g., in institutional repositories or on their websites) prior to or during the submission process, as it can lead to productive exchanges or/and greater number of citation to the to-be-published work (See The Effect of Open Access).
Accepted 01-02-2023
Published 23-04-2023
