Tensor-optimized antisymmetrized molecular dynamics as a successive variational method in nuclear many-body system
Tensor-optimized antisymmetrized molecular dynamics as a successive variational method in nuclear many-body system
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DOI：
10.1016/j.physletb.2017.03.059
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发表时间：
2017-01
影响因子：
4.4
通讯作者：
T. Myo;H. Toki;K. Ikeda;H. Horiuchi;T. Suhara
中科院分区：
文献类型：
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作者：
T. Myo;H. Toki;K. Ikeda;H. Horiuchi;T. Suhara
研究了张量优化的反对称化分子动力学(TOAMD)作为一种对核具有强相互作用的多体系统的逐次变分方法。在TOAMD中，张量力和短程斥力及其倍数的关联函数作为变分波函数运算到AMD态。将总波函数表示为各分量之和，并利用多重相关函数逐次增大变分空间以达到收敛。多体算符的所有必要的矩阵元素，包括多重关联函数和哈密顿量，都用高斯积分公式解析地表示出来。本文利用核子-核子相互作用AV8‘，给出了~3H和~4He壳层核的TOAMD结果，其关联函数最高可达双倍积。结果表明，两核的能量和哈密顿分量相对于关联函数的倍数迅速收敛。这一结果表明了TOAMD对张量展开和短程关联函数的级数展开的有效性。
We study the tensor-optimized antisymmetrized molecular dynamics (TOAMD) as a successive variational method in many-body systems with strong interaction for nuclei. In TOAMD, the correlation functions for the tensor force and the short-range repulsion and their multiples are operated to the AMD state as the variational wave function. The total wave function is expressed as the sum of all the components and the variational space can be increased successively with the multiple correlation functions to achieve convergence. All the necessary matrix elements of many-body operators, consisting of the multiple correlation functions and the Hamiltonian, are expressed analytically using the Gaussian integral formula. In this paper we show the results of TOAMD with up to the double products of the correlation functions for thes-shell nuclei,3H and4He, using the nucleon–nucleon interaction AV8′. It is found that the energies and Hamiltonian components of two nuclei converge rapidly with respect to the multiple of correlation functions. This result indicates the efficiency of TOAMD for the power series expansion in terms of the tensor and short-range correlation functions.