论文标题
具有共轭动量的发电机坐标方法：应用于粒子数投影
Generator coordinate method with a conjugate momentum: application to the particle number projection
论文作者
论文摘要
我们通过同时将集体坐标及其共轭动量作为发电机坐标来讨论发电机坐标方法（GCM）的扩展。为此，我们遵循Goeke和Reinhard提出的动态GCM（DGCM）的想法。我们首先表明DGCM方法可以被视为质量运动中心的双投影方法的扩展。作为DGCM的应用，我们随后研究了粒子数投影，为此，我们不仅像通常的粒子数投影一样在仪表角上进行积分不可或缺的角度，而且对BCS状态的线性叠加具有不同的平均粒子数。我们表明，这种效应显着降低了基态能量，尤其是对于魔术核，在BCS近似中，配对隙为零。这表明当前的方法是投影后（VAP）方法变化的良好替代方法，因为该方法比VAP简单得多。
We discuss an extension of the generator coordinate method (GCM) by taking simultaneously a collective coordinate and its conjugate momentum as generator coordinates. To this end, we follow the idea of the dynamical GCM (DGCM) proposed by Goeke and Reinhard. We first show that the DGCM method can be regarded as an extension of the double projection method for the center of mass motion. As an application of DGCM, we then investigate the particle number projection, for which we not only carry out an integral over the gauge angle as in the usual particle number projection but also take a linear superposition of BCS states which have different mean particle numbers. We show that the ground state energy is significantly lowered by such effect, especially for magic nuclei for which the pairing gap is zero in the BCS approximation. This suggests that the present method makes a good alternative to the variation after projection (VAP) method, as the method is much simpler than the VAP.
