RELATIVISTIC EQUATION FOR A FOUR-NUCLEON SYSTEM

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Abstract

The paper generalizes the four-particle integral Faddeev–Yakubovsky equation to the relativistic case. The obtained system of integral equations is solved by the iteration method and the binding energy and amplitudes of states of the helium-4 nucleus are found. The rank-one separable Yamaguchi potential is used as the interaction potential. In the calculations the only states with zero orbital momentum are considered – states. The results of the calculation are compared with non-relativistic calculations and experimental value.

About the authors

Serge Bondarenko

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research

Dubna, Russia

Sergei Yurev

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research

Email: yurev@jinr.ru
Dubna, Russia

References

  1. S. G. Bondarenko, V. V. Burov, A. V. Molochkov, G. I. Smirnov, and H. Toki, Prog. Part. Nucl. Phys. 48, 449 (2002); nucl-th/0203069.
  2. S. Bondarenko, V. Burov, and S. Yurev, Nucl. Phys. A 1004, 122065 (2020); arXiv: 2010.15540.
  3. S. Bondarenko, V. Burov, and S. Yurev, Nucl. Phys. A 1014, 122251 (2021); arXiv: 2102.06061.
  4. O. A. Yakubovsky, Sov. J. Nucl. Phys. 5, 937 (1967).
  5. В. Ф. Харченко, ЭЧАЯ 10, 884 (1979) [Phys. Part. Nucl. 10, 349 (1979)].
  6. G. Rupp and J. A. Tjon, Phys. Rev. C 37, 1729 (1988).
  7. B. F. Gibson and D. R. Lehman, Phys. Rev. C 14, 685 (1976); Phys. Rev. C 15, 2257 (Erratum) (1977).

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