Relativistic four-nucleon calculations with rank-one separable potential

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Abstract

A solution to the relativistic generalization of the four-particle integral Faddeev–Yakubovsky equation is carried out. Only states with zero orbital angular momentum, S states, are considered in the calculations. A rank-one separable potential for the nucleon–nucleon interaction is used to solve the two-nucleon Bethe–Salpeter equation. Calculations are carried out taking into account both the “3 + 1” and “2 + 2” subchannels in the equation. The system of integral equations is solved by the iteration method and the binding energy of the helium-4 nucleus is found. The calculated results are compared with experimental data and nonrelativistic calculations.

About the authors

S. Bondarenko

BLTP, Joint Institute for Nuclear Research

Dubna, Russia

S. Yurev

BLTP, Joint Institute for Nuclear Research

Email: yurev@jinr.ru
Dubna, Russia

References

  1. L. D. Faddeev, JETP 39, 1459 (1960).
  2. O. A. Yakubovsky, Sov. J. Nucl. Phys. 5, 937 (1967).
  3. A. Stadler, F. Gross, and M. Frank, Phys. Rev. C 56, 2396 (1997).
  4. H. Witała, J. Golak, R. Skibiński, W. Glöckle, H. Kamada, and W. N. Polyzou, Phys. Rev. C 83, 044001 (2011); Phys. Rev. C 88, 069904 (Erratum) (2013).
  5. H. Kamada, SciPost Phys. Proc. 3, 003 (2020).
  6. G. Rupp and J. A. Tjon, Phys. Rev. C 37, 1729 (1988).
  7. M. R. Hadizadeh, M. Radin, and K. Mohseni, Sci. Rep. 10, 1949 (2020).
  8. E. E. Salpeter and H. A. Bethe, Phys. Rev. 84, 1232 (1951).
  9. S. Bondarenko, V. Burov, and S. Yurev, Nucl. Phys. A 1004, 122065 (2020); arXiv: 2010.15540.
  10. S. Bondarenko, V. Burov, and S. Yurev, Nucl. Phys. A 1014, 122251 (2021); arXiv: 2102.06061.
  11. S. Bondarenko and S. Yurev, Phys. At. Nucl. 87, 822 (2024).
  12. V. F. Kharchenko, Phys. Part. Nucl. 10, 349 (1979).
  13. B. F. Gibson and D. R. Lehman, Phys. Rev. C 14, 685 (1976); Phys. Rev. C 15, 2257 (Erratum) (1977).

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