In this work, we study the changes in the nuclear properties by performing systematic calculations on the selected isotopic and isotonic chains of nuclei with increasing temperature. The finite temperature Hartree–Fock–Bogoliubov (FT-HFB) calculations are performed using the Skyrme-type SkM* functional and mixed-type pairing interaction. The changes in the pairing properties, internal excitation energies, entropy, two-neutron separation energies, and neutron skin thickness of nuclei are systematically studied. It is shown that both the internal excitation energy and entropy are sensitive to the changes in the pairing properties of nuclei below the critical temperatures. At high temperatures and after T≥1 MeV, both of them increase rapidly. The nuclei near the neutron drip lines are affected more by the temperature effects since the continuum effects start to become dominant around these regions. On the other hand, the internal energy and entropy are not sensitive to the increase in the proton number, and the changes remain almost stable along an isotonic chain with increasing temperature. We also found that some nuclei near the neutron drip lines become bound at finite temperatures, whereas they are unstable against the two-neutron emission ($S_{2n}\le 0$ MeV). Investigation of the neutron skin thickness of nuclei shows that the temperature has a big impact on nuclei close to the neutron drip lines, and it considerably increases the neutron skin thickness of these nuclei at high temperatures.

在这项工作中，我们通过对选定的核的同位素和等渗链进行系统计算来研究核性质随温度升高的变化。有限温度 Hartree-Fock-Bogoliubov (FT-HFB) 计算是使用 Skyrme 型 SkM* 功能和混合型配对相互作用进行的。系统地研究了核的配对特性、内激发能、熵、双中子分离能和中子表皮厚度的变化。结果表明，内部激发能和熵对临界温度以下的原子核配对特性的变化都很敏感。在高温下和 T≥1 MeV 后，两者均迅速增加。中子滴落线附近的原子核受温度效应的影响更大，因为这些区域周围的连续介质效应开始占主导地位。另一方面，内能和熵对质子数的增加不敏感，随着温度的升高，这些变化沿着等渗链几乎保持稳定。我们还发现，中子滴线附近的一些原子核在有限温度下会受到束缚，而它们对双中子发射不稳定（${秒}_{2n}\le 0$兆伏）。对原子核中子表皮厚度的研究表明，温度对靠近中子滴落线的原子核有很大影响，并且在高温下显着增加了这些原子核的中子表皮厚度。