Variational calculations of symmetric nuclear matter and pure neutron matter with the tensor-optimized Fermi Sphere (TOFS) method: many-body effects and short-range correlation
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917617230413824 |
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| author | Yamada, Taiichi |
| author_facet | Yamada, Taiichi |
| contents | The equations of state for symmetric nuclear matter and pure neutron matter are investigated with the tensor-optimized Fermi Sphere method (TOFS) up to the density $ρ=0.5$~fm$^{-3}$. This method is based on a linked-cluster expansion theorem, and the energy per particle of nuclear matter ($E/A$) is calculated variationally with respect to the correlated nuclear matter wave function. We can study the density dependence of the many-body terms arising from the operator products, which contribute to $E/A$. In order to clarify the relation between the many-body effects and short-range correlation, we take the spin-isospin dependent central {\it NN} interaction with a few GeV repulsion in the inner region. The EOS obtained by the TOFS method is reasonably reproduced, compared with other \textit{ab initio} many-body methods. We found that the many-body terms from the 2-body to 6-body ones) give sizable effects on $E/A$ at higher density, and they play an important role in nuclear matter. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_11717 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Variational calculations of symmetric nuclear matter and pure neutron matter with the tensor-optimized Fermi Sphere (TOFS) method: many-body effects and short-range correlation Yamada, Taiichi Nuclear Theory The equations of state for symmetric nuclear matter and pure neutron matter are investigated with the tensor-optimized Fermi Sphere method (TOFS) up to the density $ρ=0.5$~fm$^{-3}$. This method is based on a linked-cluster expansion theorem, and the energy per particle of nuclear matter ($E/A$) is calculated variationally with respect to the correlated nuclear matter wave function. We can study the density dependence of the many-body terms arising from the operator products, which contribute to $E/A$. In order to clarify the relation between the many-body effects and short-range correlation, we take the spin-isospin dependent central {\it NN} interaction with a few GeV repulsion in the inner region. The EOS obtained by the TOFS method is reasonably reproduced, compared with other \textit{ab initio} many-body methods. We found that the many-body terms from the 2-body to 6-body ones) give sizable effects on $E/A$ at higher density, and they play an important role in nuclear matter. |
| title | Variational calculations of symmetric nuclear matter and pure neutron matter with the tensor-optimized Fermi Sphere (TOFS) method: many-body effects and short-range correlation |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2403.11717 |