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arXiv 2103.10841nucl-thnucl-ex
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热$^{93-98}$ Mo核中heat capacity和配对相变的再研究

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

Le Thi Quynh Huong, Tran Dong Xuan, Nguyen Ngoc Anh, Nguyen Quang Hung

摘要:

利用中子结合能$B_n$以下最新更新和推荐的核能级密度(NLD)数据,结合$B_n$以上能区的后移费米气体(BSFG)模型,重新研究了$^{93-98}$ Mo核的经验热容.对于后者,采用了带能级密度参数的BSFG公式,并进行了新的参数化,以获得在整个数据范围内对新的NLD数据的最佳拟合。结果表明,偶$^{94,96,98}$ Mo核的S形热容比奇$^{93,95,97}$ Mo核的S形热容更明显,S形热容是配对相变的指纹。这一结果与R. Chankova等人,[Phys.Rev.C { \bf 73},034311(2006)]和K. Kaneko等人,[Phys.Rev.C { \bf 74},024325(2006)],其中使用旧的NLD数据和具有能量无关能级密度参数的BSFG模型。此外,本文的工作还表明,钼的偶、奇同位素的热容在K。Kaneko等人,[Phys. Rev. C { \bf 74},024325(2006)]应重新研究。本文的工作还表明,要获得正确的热容量和与之相关的激发核配对相变,应该在整个实验数据可用的区域内使用正确的NLD数据和最佳拟合的BSFG NLD。

英文摘要:

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 R. Chankova et al., [Phys. Rev. C {\bf 73}, 034311 (2006)] and K. Kaneko et al., [Phys. Rev. C {\bf 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 K. Kaneko et al., [Phys. Rev. C {\bf 74}, 024325 (2006)] should be re-investigated. The present work also suggests that 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.

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