标题： 钼和钌同位素形状共存与稳定性之间的相关性 显示英文标题

标题： Correlation between the Shape Coexistence and Stability in Mo and Ru isotopes

摘要： 在快速变化形状相区，形状共存的存在及其对衰变模式和半衰期（$-$）可能产生的影响，在天体物理学感兴趣的钼（Mo）和钌（Ru）同位素中进行了广泛研究，采用了基于微观理论框架的Nilsson-Strutinsky方法和相对论平均场模型。 钼和钌的同位素链表现出快速的形状相变、三轴形（$\gamma$）软性、形状不稳定以及许多共存状态，这些状态大多具有扁平（oblate）和三轴形状。 计算了质子和中子的分离能，并与现有数据进行了比较。 两种形式主义得出的结果彼此一致，同时也与现有的实验数据吻合良好。 我们计算了表现出形状共存核素的（$\beta-$）衰变半衰期（$-$）和分离能，考察了从母核第二极小态到子核基态或激发态的衰变模式。 在钼和钌同位素中观察到的共存形状的第二极小态对结构特性、（$\beta-$）衰变半衰期（$-$）、分离能以及核稳定性产生了影响。 显示英文摘要

摘要： In a rapidly changing shape phase region, the presence of shape coexistence and its possible impact on the decay modes and half$-$lives, has been explored in astrophysically interesting Mo and Ru isotopes, in an extensive study within the microscopic theoretical framework using Nilsson Strutinsky Method and Relativistic Mean Field Model. The isotopic chains of Mo and Ru exhibit rapid shape phase transitions, triaxial $\gamma$ softness, shape instability along with many coexisting states mostly with oblate and triaxial shapes. Proton and neutron separation energies have been calculated and compared with the available data. Results obtained from both the formalisms are in good agreement with each other as well as the available experimental data. Our computed $\beta-$decay half$-$lives and separation energy for nuclei exhibiting shape coexistence were examined for the decay mode from second minima state of the parent nuclei to the ground or excited state of the daughter nuclei. The second minima state of the coexisting shapes in Mo and Ru isotopes, were seen to impact the structural properties, $\beta-$decay half$-$lives, separation energy and hence the stability of the nuclei.