用高斯展开法计算RPA
RPA calculations with Gaussian expansion method
摘要：
高斯展开法（GEM）广泛应用于随机相位近似（RPA）的计算。我们采用的质量无关的基组，已在平均场计算中进行了测试。通过比较RPA的结果与其他几种可用的方法获得的钙同位素，使用密度依赖的接触相互作用和伍兹-撒克逊单粒子状态，我们确认的能量，过渡强度和宽度的分布所描述的GEM基地，以良好的精度，为$1^-$，$2^+$和$3^-$集体状态。然后，GEM应用于有限程Gogny D1 S相互作用的自洽RPA计算。在$E1$响应中，伪质心运动与物理状态很好地分离，并且等oscillation跃迁的能量加权和规则得到了合理的满足。讨论了$^{60}$ Ca的低能跃迁性质。
英文摘要：
The Gaussian expansion method (GEM) is extensively applied to the calculations in the random-phase approximation (RPA). We adopt the mass-independent basis-set that has been tested in the mean-field calculations. By comparing the RPA results with those obtained by several other available methods for Ca isotopes, using a density-dependent contact interaction and the Woods-Saxon single-particle states, we confirm that energies, transition strengths and widths of their distribution are described by the GEM bases to good precision, for the $1^-$, $2^+$ and $3^-$ collective states. The GEM is then applied to the self-consistent RPA calculations with the finite-range Gogny D1S interaction. The spurious center-of-mass motion is well separated from the physical states in the $E1$ response, and the energy-weighted sum rules for the isoscalar transitions are fulfilled reasonably well. Properties of low-energy transitions in $^{60}$Ca are argued in some detail.
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