论文标题

优化离散发电机坐标方法中包含的内在状态数量

Optimization of the number of intrinsic states included in the discrete Generator Coordinate Method

论文作者

Martínez-Larraz, Jaime, Rodríguez, Tomás R.

论文摘要

我们提出了一种机制,可以有效预选用于定义离散生成器坐标方法(GCM)中多体波函数的内在多体状态的数量。此过程基于正常状态的自然基础的适当定义,不需要评估非二元组汉密尔顿内核来进行选择,并有助于减少数值不稳定性。该方法的性能在基础状态下进行详细分析,并用Gogny能量密度函数计算的某些选定核的激发态$ 0^{+} $。

We present a mechanism to efficiently pre-select the number of intrinsic many-body states that are used to define the many-body wave functions within the discrete Generator Coordinate Method (GCM). This procedure, based on the proper definition of a natural basis of orthonormal states, does not require the evaluation of the non-diagonal Hamiltonian kernels to do the selection and helps to reduce the numerical instabilities. The performance of the method is analyzed in detail in the ground state and $0^{+}$ excited states of some selected nuclei computed with the Gogny energy density functional.

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