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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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Abstract

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 \(\varvec{\rho =0.5}\) fm\(^{-3}\). This method is based on a linked-cluster expansion theorem, and the energy per particle of nuclear matter (\(\varvec{E/A}\)) 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 \(\varvec{E/A}\). In order to clarify the relation between the many-body effects and short-range correlation, we take the spin-isospin dependent central NN interaction with a few GeV repulsion in the inner region. The EOS obtained by the TOFS method is reasonably reproduced, compared with other 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.

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Data Availability Statement

This manuscript has associated code/software in a data repository. [Authors’ comment: The relevant data are given in the figures. They can also be obtained from the author.]

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Acknowledgements

This work was partially supported by the JSPS KAKENHI Grant numbers JP26400283, JP23K03397.

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Authors and Affiliations

  1. Faculty of Science and Engineering, Kanto Gakuin University, Yokohama, 236-8501, Japan

    Taiichi Yamada

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  1. Taiichi Yamada
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Correspondence to Taiichi Yamada.

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Communicated by David Blaschke.

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Yamada, T. 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. Eur. Phys. J. A 60, 57 (2024). https://doi.org/10.1140/epja/s10050-024-01267-w

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