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.

的经验热容量\（^ {93-98} \）的Mo核通过使用最新的更新，并建议核液位密度（NLD）中子结合能低于数据重新研究\（B_N \）与背组合高于\（B_n \）的能量区域的位移费米气体（BSFG）模型。对于后者，使用了具有能量相关的水平密度参数的BSFG公式，并且已经进行了新的参数化，以便在整个数据范围内获得对新NLD数据的最佳拟合。获得的结果表明，偶数\（^ {94,96,98} \） Mo核的S形热容（配对相变的指纹）比奇数\（^ {93,95 ，97} \）钼同位素。此结果与Chankova等人先前的两项研究得出的结果不同。（Phys Rev C 73：034311，2006）和Kaneko等人。（Phys Rev C 74：024325，2006），其中使用了旧的NLD数据和具有与能量无关的能级密度参数的BSFG模型。此外，目前的工作表明，Kaneko等人在偶数和奇数钼同位素的热容中观察到非常强的S形。（Phys Rev C 74：024325，2006）应该重新研究。目前的工作还表明，要在激发核中获得正确的热容量和相关的配对相变，应在可获得实验数据的整个区域中使用正确的NLD数据和最佳拟合的BSFG NLD。