Pairing phase transition in an odd–even hot <sup>69</sup>Zn nucleus

Senapati, Enakshi; Mondal, Satabdi; Bhattacharya, Srijit; Pandit, D; Dang, Nguyen Dinh; Anh, Nguyen Ngoc; Huong, L. T. Quynh; Santra, Rajkumar; Nguyen, Hung Minh; Dey, Balaram

doi:10.1088/1361-6471/acd2f1

Cited by 2 publications

(2 citation statements)

References 40 publications

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“…Interestingly, the results of these few cases go along with those semiempirically determined in [25,53]. A significant enhancement of S-shaped heat capacities observed in rare-earth nuclei might relate to the deformation characteristics of these nuclei because the deformation is known to affect the pairing correlation, which is in charge of the pairing phase transition associated with the S-shaped heat capacity [17,30]. The attenuation of pairing phase transition in heavy nuclei (A  200) is due to the fact that the pairing gaps of these nuclei at zero temperature are considerably small.…”

Section: Resultssupporting

confidence: 73%

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Systematic investigation on semi-empirical thermodynamic quantities of excited nuclei using canonical ensemble

Tran,

Phan,

Nguyen

et al. 2024

J. Phys. G: Nucl. Part. Phys.

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Semi-empirical thermodynamic quantities (TQs) of 78 nuclei ranging from $^{43}$Sc to $^{243}$Pu have been systematically investigated in the temperature region below 1 MeV using the thermodynamic canonical ensemble. The latter is carried out by taking into account the experimental nuclear level density (NLD) data measured using the Oslo method for the low-excitation region below the neutron binding energy $B_n$ combining with the back-shifted Fermi gas NLD model for the excitation energy from $B_n$ to about 250 MeV. In particular, the uncertainty of the TQs propagating from the fluctuation of the experimental NLD data has been, for the first time, calculated. The results obtained indicate that the uncertainty of TQs due to the experimental NLD is incomparable with the changes caused by the nuclear structure effects. The free energy of even-even nuclei behave differently from that of odd-$A$ ones. The total energy in the \rev{low-temperature region below $T_E \simeq 0.4-0.6$ MeV for medium-mass nuclei and $T_E \simeq 0.2-0.4$ MeV for heavy-mass ones slowly varies. When temperature is from $T_E$ to 1 MeV, the total energy} increases extremely faster than the increase of temperature, exhibiting the constant-temperature behavior. The entropy exhibits an abrupt change in their slope at \rev{$T_S \simeq 0.2-0.4$ MeV} in medium-mass nuclei and \rev{$T_S \simeq 0.5-0.6$ MeV} in heavy-mass ones. \rev{The existence of $T_E$ and $T_S$ has been interpreted due to the breaking of the first Cooper pair.} Finally, the heat capacity shows strongly pronounced $S$-shape in nuclei belong to rare-earth region. \rev{The temperatures defined at the center of the $S-$shaped heat capacities, which are known to closely relate to the critical temperature of the pairing phase transition $T_C$, are quite close to those theoretically predicted, namely $T_C \approx 0.5\Delta-0.6\Delta$ with $\Delta = 12A^{-1/2}$ being the empirical pairing gap at zero temperature.} The semi-empirical TQs obtained in the present work can be, therefore, a reliable data source to test and/or validate many nuclear thermodynamical models and to examine some nuclear structure properties such as pairing and deformation.

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Section: Resultssupporting

confidence: 73%

“…below the neutron binding energy B n . In fact, a few investigations employ microscopic NLD models [17,30] to deduce the nuclear TQs, with experimental NLD data being used as an initial test for the validity of the calculated NLDs. In this manner, one does not benefit much from valuable measured data.…”

Section: Introductionmentioning

confidence: 99%

Systematic investigation on semi-empirical thermodynamic quantities of excited nuclei using canonical ensemble

Tran,

Phan,

Nguyen

et al. 2024

J. Phys. G: Nucl. Part. Phys.

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Impact of nuclear level density and γ-ray strength function in (n,γ) and Maxwellian-averaged cross-section of ⁶⁹Zn nucleus

Senapati,

Mondal,

Bhattacharya

et al. 2024

J. Phys. G: Nucl. Part. Phys.

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The present paper highlights the impact of nuclear level density (NLD) and γ-ray strength function (γ-SF) on (n,γ) and Maxwellian-averaged cross-section of 69Zn nucleus. At first, the existing NLD and γ-SF models (in TALYS statistical model code) have been utilized to understand the role of NLD and γ-SF in neutron capture reaction cross-section. It is seen that most of the combinations of existing NLDs and γ-SFs (phenomenological and/or microscopic) cannot explain the experimental data. Therefore, the microscopic EP+IPM (exact pairing plus independent particle model) and EP+PDM (exact pairing plus phonon damping model) have been carriedout to calculate the NLD and γ-SF of 69Zn nucleus, respectively, by employing the exact treatment of thermal pairing. It is seen that microscopic EP+IPM NLD and EP+PDM γ-SF explain the experimental data better than other combinations, indicating the impact of exact treatment of thermal pairing correlation. In addition, the inclusion of an up-bend (UB) structure in γ-SF further improves the comparison with the experimental data in the low energy region (∼ 0.01-0.15 MeV), indicating the possibility of having an UB structure in γ-SF of 69Zn. The 68Zn(n,γ)69Zn reaction cross-section obtained by utilizing the EP+IPM NLD and EP+PDM γ-SF includingUB structure is then used to predict the Maxwellian-averaged cross-sections, and the obtained results show reasonable agreement with all the available experimental data taken from the Karlsruhe Astrophysical Database of Nucleosynthesis in Stars. The present results reflect the impact of microscopic NLD and γ-SF on the precise description and/or prediction of the astrophysical reaction cross-section.

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Pairing phase transition in an odd–even hot ⁶⁹Zn nucleus

Cited by 2 publications

References 40 publications

Systematic investigation on semi-empirical thermodynamic quantities of excited nuclei using canonical ensemble

Systematic investigation on semi-empirical thermodynamic quantities of excited nuclei using canonical ensemble

Impact of nuclear level density and γ-ray strength function in (n,γ) and Maxwellian-averaged cross-section of ⁶⁹Zn nucleus

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Pairing phase transition in an odd–even hot 69Zn nucleus

Cited by 2 publications

References 40 publications

Systematic investigation on semi-empirical thermodynamic quantities of excited nuclei using canonical ensemble

Systematic investigation on semi-empirical thermodynamic quantities of excited nuclei using canonical ensemble

Impact of nuclear level density and γ-ray strength function in (n,γ) and Maxwellian-averaged cross-section of 69Zn nucleus

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Resources

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Pairing phase transition in an odd–even hot ⁶⁹Zn nucleus

Impact of nuclear level density and γ-ray strength function in (n,γ) and Maxwellian-averaged cross-section of ⁶⁹Zn nucleus