Title: Microscopic description of fission in nobelium isotopes with the Gogny-D1M energy density functional Show Chinese title

Title: 使用Gogny-D1M能量密度泛函描述诺贝尔 isotopes 的裂变的微观方法

Abstract: Constrained mean-field calculations, based on the Gogny-D1M energy density functional, have been carried out to describe fission in the isotopes $^{250-260}$No. The even-even isotopes have been considered within the standard Hartree-Fock-Bogoliobov (HFB) framework while for the odd-mass ones the Equal Filling Approximation (HFB-EFA) has been employed. Ground state quantum numbers and deformations, pairing energies, one-neutron separation energies, inner and outer barrier heights as well as fission isomer excitation energies are given. Fission paths, collective masses and zero-point quantum vibrational and rotational corrections are used to compute the systematic of the spontaneous fission half-lives t$_\mathrm{SF}$ both for even-even and odd-mass nuclei. Though there exists a strong variance of the predicted fission rates with respect to the details involved in their computation, it is shown that both the specialization energy and the pairing quenching effects, taken into account within the self-consistent HFB-EFA blocking procedure, lead to larger t$_\mathrm{SF}$ values in odd-mass nuclei as compared with their even-even neighbors. Alpha decay lifetimes have also been computed using a parametrization of the Viola-Seaborg formula. The high quality of the Gogny-D1M functional regarding nuclear masses leads to a very good reproduction of $Q_{\alpha}$ values and consequently of lifetimes. Show Chinese abstract

Abstract: 基于Gogny-D1M能量密度泛函的受限平均场计算已被用于描述这些同位素中的裂变： $^{250-260}$No. 偶-偶同位素在标准的Hartree-Fock-Bogoliubov（HFB）框架内被考虑，而奇数质量的同位素则采用了等填充近似（HFB-EFA）。 给出了基态量子数和变形参数、配对能、单中子分离能、内外势垒高度以及裂变同质激发能。 裂变路径、集体质量以及零点量子振动和旋转修正被用来计算自发裂变半衰期t$_\mathrm{SF}$，适用于偶-偶核和奇数质量核。 尽管预测的裂变率对计算细节的变化非常敏感，但研究表明，在自洽的HFB-EFA阻塞过程中考虑的专业化能和配对淬灭效应导致奇数质量核的t$_\mathrm{SF}$值比它们的偶-偶邻域更大。 使用Viola-Seaborg公式的参数化方法还计算了α衰变寿命。 Gogny-D1M泛函在核质量方面的高质量导致了对 $Q_{\alpha}$值的非常好再现，从而也很好地再现了寿命。