标题： 用QRPA在稀土核低激发振动态中的测试Skyrme能量密度泛函 显示英文标题

标题： Testing Skyrme energy-density functionals with the QRPA in low-lying vibrational states of rare-earth nuclei

摘要： 尽管核能量密度泛函主要是通过拟合基态性质来确定的，但在核天体物理中通常用于激发态，通常是通过准粒子随机相位近似（QRPA）。 在这里，我们通过计算大量良好变形的偶-偶稀土核中的低能振动态的性质，测试了Skyrme泛函SkM*和SLy4以及自洽的QRPA。 我们再现了与伽马振动态相关的能量和跃迁概率的趋势，但我们的结果并不完美，表明存在QRPA中未包含的多粒子-空穴关联。 Skyrme泛函SkM*的表现明显优于SLy4。 在少数核素中，配对能量泛函的处理方式的变化有显著影响。 QRPA在“β振动”态上的成功程度不如在伽马振动态上。 显示英文摘要

摘要： Although nuclear energy density functionals are determined primarily by fitting to ground state properties, they are often applied in nuclear astrophysics to excited states, usually through the quasiparticle random phase approximation (QRPA). Here we test the Skyrme functionals SkM* and SLy4 along with the self-consistent QRPA by calculating properties of low-lying vibrational states in a large number of well-deformed even-even rare-earth nuclei. We reproduce trends in energies and transition probabilities associated with gamma-vibrational states, but our results are not perfect and indicate the presences of multi-particle-hole correlations that are not included in the QRPA. The Skyrme functional SkM* performs noticeably better than SLy4. In a few nuclei, changes in the treatment of the pairing energy functional have a significant effect. The QRPA is less successful with "beta-vibrational" states than with the gamma-vibrational states.