- PII
- S30346282S0044002725040061-1
- DOI
- 10.7868/S3034628225040061
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 88 / Issue number 4
- Pages
- 361-366
- 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, 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.
- Keywords
- Date of publication
- 17.12.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 25
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. Wiata, J. Golak, R. Skibinski, 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).