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Role of spatially compact nucleon wave packets in an ab initio description of H3 within high-momentum antisymmetrized molecular dynamics

Masahiro Isaka1, Qing Zhao2, Takayuki Myo3,4, Mengjiao Lyu5,6, Hiroshi Toki4, Hisashi Horiuchi4, Hiroki Takemoto7, and Niu Wan8

  • 1Science Research Center, Hosei University, 2-17-1 Fujimi, Chiyoda-ku, Tokyo 102-8160, Japan
  • 2School of Science, Huzhou University, Huzhou 313000, Zhejiang, China
  • 3General Education, Faculty of Engineering, Osaka Institute of Technology, Osaka, Osaka 535-8585, Japan
  • 4Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki, Osaka 567-0047, Japan
  • 5College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • 6Key Laboratory of Aerospace Information Materials and Physics (NUAA), MIIT, Nanjing 211106, China
  • 7Faculty of Pharmacy, Osaka Medical and Pharmaceutical University, 4-20-1 Nasahara, Takatsuki, Osaka 569-1094, Japan
  • 8School of Physics and Optoelectronics, South China University of Technology, Guangzhou 510641, China

Phys. Rev. C 106, 044310 – Published 12 October, 2022

DOI: https://doi.org/10.1103/PhysRevC.106.044310

Abstract

We found the important role of the spatially compact nucleon wave packets to fully describe the nucleon correlations within the framework of the high-momentum antisymmetrized molecular dynamics (HM-AMD), which is a variational method based on the antisymmetrized molecular dynamics. In HM-AMD, short-range and tensor correlations between nucleons are described by nucleon pairs with high momentum (high-momentum pairs), which are given by putting large centroids of the Gaussian wave packets in opposite signs. In this paper, we further improve momentum distribution of the high-momentum pairs by varying the width parameter of the Gaussian wave packets of nucleons. We show the reliability of this new scheme by applying it to the H3 nucleus with the bare Argonne v8' potential. It is found that the spatially compact nucleon wave packets give the important effect to lower the total energy, which brings sufficient high-momentum components in the nucleus. We also include the spin-parallel configuration of the three nucleons induced by the tensor interaction, which is necessary to converge the HM-AMD results. Finally, comparable results to the other theoretical calculations are obtained for the total energy and Hamiltonian components.

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References (20)

  1. S. C. Pieper and R. B. Wiringa, Quantum Monte Carlo calculations of light nuclei, Annu. Rev. Nucl. Part. Sci. 51, 53 (2001).
  2. R. B. Wiringa, V. G. J. Stoks, and R. Schiavilla, Accurate nucleon-nucleon potential with charge-independence breaking, Phys. Rev. C 51, 38 (1995).
  3. Y. Kanada-En'yo, M. Kimura, and A. Ono, Antisymmetrized molecular dynamics and its applications to cluster phenomena, Prog. Theor. Exp. Phys. 2012, 01A202 (2012).
  4. R. Roth, T. Neff, H. Hergert, and H. Feldmeier, Nuclear structure based on correlated realistic nucleon-nucleon potentials, Nucl. Phys. A 745, 3 (2004).
  5. T. Neff, Microscopic Calculation of the 3He(α,γ)7Be and 3H(α,γ)7Li Capture Cross Sections Using Realistic Interactions, Phys. Rev. Lett. 106, 042502 (2011).
  6. A. Doté, Y. Kanada-En'yo, H. Horiuchi, Y. Akaishi, and K. Ikeda, Explicit treatment of the tensor force with the method of antisymmetrized molecular dynamics, Prog. Theor. Phys. 115, 1069 (2006).
  7. N. Itagaki and A. Tohsaki, Improved version of a simplified method for including tensor effects in cluster models, Phys. Rev. C 97, 014304 (2018).
  8. T. Myo, H. Toki, K. Ikeda, H. Horiuchi, and T. Suhara, Tensor-optimized antisymmetrized molecular dynamics in nuclear physics, Prog. Theor. Exp. Phys. 2015, 073D02 (2015).
  9. T. Myo, H. Toki, K. Ikeda, H. Horiuchi, and T. Suhara, Successive variational method of the tensor-optimized antisymmetrized molecular dynamics for central interaction in finite nuclei, Phys. Rev. C 95, 044314 (2017).
  10. T. Myo, H. Toki, K. Ikeda, H. Horiuchi, and T. Suhara, Tensor-optimized antisymmetrized molecular dynamics as a successive variational method in nuclear many-body system, Phys. Lett. B 769, 213 (2017).
  11. T. Myo, H. Toki, K. Ikeda, H. Horiuchi, and T. Suhara, New successive variational method of tensor-optimized antisymmetrized molecular dynamics for nuclear many-body systems, Prog. Theor. Exp. Phys. 2017, 073D01 (2017).
  12. T. Myo, H. Toki, K. Ikeda, H. Horiuchi, and T. Suhara, Power series expansion method in tensor-optimized antisymmetrized molecular dynamics beyond the Jastrow correlation method, Phys. Rev. C 96, 034309 (2017).
  13. T. Myo, H. Toki, K. Ikeda, H. Horiuchi, T. Suhara, M. Lyu, M. Isaka, and T. Yamada, High-momentum antisymmetrized molecular dynamics compared with tensor-optimized shell model for strong tensor correlation, Prog. Theor. Exp. Phys. 2017, 111D01 (2017).
  14. T. Myo, Short-range correlation in high-momentum antisymmetrized molecular dynamics, Prog. Theor. Exp. Phys. 2018, 031D01 (2018).
  15. M. Lyu, M. Isaka, T. Myo, H. Toki, K. Ikeda, H. Horiuchi, T. Suhara, and T. Yamada, Hybridization of tensor-optimized and high-momentum antisymmetrized molecular dynamics for light nuclei with bare interaction, Prog. Theor. Exp. Phys. 2018, 011D01 (2018).
  16. Q. Zhao, M. Lyu, Z. Ren, T. Myo, H. Toki, K. Ikeda, H. Horiuchi, M. Isaka, and T. Yamada, Contact representation of short-range correlation in light nuclei studied by the high-momentum antisymmetrized molecular dynamics, Phys. Rev. C 99, 034311 (2019).
  17. Q. Zhao, M. Isaka, T. Myo, M. Lyu, H. Toki, H. Horiuchi, H. Takemoto, and N. Wan, Role of the unitary correlation operator on high-momentum antisymmetrized molecular dynamics using the bare NN interaction for 3H and 4He, Prog. Theor. Exp. Phys. 2021, 063D02 (2021).
  18. B. S. Pudliner, V. R. Pandharipande, J. Carlson, S. C. Pieper, and R. B. Wiringa, Quantum Monte Carlo calculations of nuclei with A < 7, Phys. Rev. C 56, 1720 (1997).
  19. M. Kimura, Deformed-basis antisymmetrized molecular dynamics and its application to Ne20, Phys. Rev. C 69, 044319 (2004).
  20. S. C. Pieper, V. R. Pandharipande, R. B. Wiringa, and J. Carlson, Realistic models of pion-exchange three-nucleon interactions, Phys. Rev. C 64, 014001 (2001).

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