A nuclear matter calculation with the tensor-optimized Fermi sphere method with central interaction
A nuclear matter calculation with the tensor-optimized Fermi sphere method with central interaction
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DOI：
10.1093/ptep/ptz117
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发表时间：
2018-08
影响因子：
3.5
通讯作者：
T. Yamada;T. Myo;H. Horiuchi;K. Ikeda;H. Toki
中科院分区：
文献类型：
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作者：
T. Yamada;T. Myo;H. Horiuchi;K. Ikeda;H. Toki
首次将张量优化费米球(TOFS)理论应用于用Argonne V4素数$NN$势研究核物质的性质。在TOFS理论中，关联核物质波函数被认为是关联函数的幂函数形式，其中，关联函数可以引起中心关联、自旋-同位旋关联、张量关联等。在TOFS理论中建立的链状团簇展开定理证明了这一表达式。我们考虑了核物质哈密顿量的乘积{H}和F的乘积产生的所有多体项的贡献。关联函数在核物质总能量的变化中得到最优确定。结果表明，与Brueckner-Hartree-Fock方法相比，在本数值计算中，与Brueckner-Hartree-Fock方法相比，核物质中每粒子能量的密度依赖关系可以合理地再现到核物质密度0.2 0 fm-3。
The tensor-optimized Fermi sphere (TOFS) theory is applied first for the study of the property of nuclear matter using the Argonne V4$^\prime$$NN$ potential. In the TOFS theory, the correlated nuclear matter wave function is taken to be a power-series type of the correlation function $F$, where $F$ can induce central, spin–isospin, tensor, etc. correlations. This expression has been ensured by a linked cluster expansion theorem established in the TOFS theory. We take into account the contributions from all the many-body terms arising from the product of the nuclear matter Hamiltonian $\mathcal{H}$ and $F$. The correlation function is optimally determined in the variation of the total energy of nuclear matter. It is found that the density dependence of the energy per particle in nuclear matter is reasonably reproduced up to the nuclear matter density $\rho \simeq 0.20$ fm$^{-3}$ in the present numerical calculation, in comparison with other methods such as the Brueckner–Hartree–Fock approach.