A new formalism of nuclear matter: Tensor-optimized Fermi sphere method
A new formalism of nuclear matter: Tensor-optimized Fermi sphere method
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核物质的新形式主义：张量优化费米球方法
DOI：
10.1140/epja/s10050-021-00383-1
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Yamada Taiichi
中科院分区：
文献类型：
--
作者：
Iritani Takumi;Aoki Sinya;Doi Takumi;Gongyo Shinya;Hatsuda Tetsuo;Ikeda Yoichi;Inoue Takashi;Ishii Noriyoshi;Nemura Hidekatsu;Sasaki Kenji;HAL QCD Collaboration;Yamada Taiichi
本文提出了一种新的核物质形式--张量优化费米球（TOFS）方法，它利用核子间的裸相互作用来处理核物质。在该形式中，关联核物质波函数取为关联函数F_i的幂级数形式，F_i可以诱导中心关联、自旋-同位旋关联、张量关联、自旋-轨道关联等，是非关联费米气体波函数。我们的形式主义的有效性是基于一个连锁集团的膨胀定理建立在TOFS理论与厄米特形式。本文强调了与指数型关联核物质波函数之间的联系，从而导出了这一定理。TOFS的框架是一种变分方法，其中关联函数F通过使核物质中每个粒子的能量相对于核物质波函数最小化来确定。首次应用TOFS理论研究了阿贡V4'NN势的核物质性质。它被发现，在核物质中的每个粒子的能量的密度依赖性是合理地复制到核物质密度，与其他方法，如Brueckner-Hartree-Fock（BHF）的方法相比。讨论了多体项在总能量中的显式贡献，指出了高体项的重要性。
A new formalism of nuclear matter, called “tensor-optimized Fermi sphere (TOFS) method”, is developed to handle the nuclear matter using a bare interaction among nucleons. In this formalism, the correlated nuclear matter wave function is taken to be a power-series type of the correlation functionF,, whereFcan induce central, spin-isospin, tensor, spin-orbit, etc. correlation, andis the uncorrelated Fermi-gas wave function. The validity of our formalism is based on a linked-cluster expansion theorem established in the TOFS theory with Hermitian form. The connection betweenand an exponential type correlated nuclear matter wave function,, is emphasized to lead to the theorem. The framework of TOFS is a variational method, in which the correlation functionFis determined by minimizing the energy per particle in nuclear matter with respect to the nuclear matter wave function. The first application of the TOFS theory is performed to study the property of nuclear matter using the Argonne V4’NNpotential. It is found that the density dependence of the energy per particle in nuclear matter is reasonably reproduced up to the nuclear matter density, in comparison with other methods such as the Brueckner-Hartree-Fock (BHF) approach. We discuss the explicit contributions of many-body terms in the total energy, and indicate the importance of higher-body terms.