Structure of Hypernucleus 7ΛLi within Microscopic Three-Cluster Model

Authors

DOI:

https://doi.org/10.15407/ujpe71.1.15

Keywords:

cluster model, resonance states, three-cluster model, hypernuclei

Abstract

The structure of bound and resonance states of the hypernucleus 7ΛLi is studied within a three-cluster model. This nucleus is considered a three-cluster structure consisting of 4He, a deuteron, and a lambda hyperon. The chosen three-cluster configuration allows us to describe more accurately the structure of hypernucleus 7ΛLi and the dynamics of different processes that involve interactions of lightest nuclei and hypernuclei. The main goal of the present investigations is to find resonance states in the three-cluster continuum of 7ΛLi and determine their nature. A set of narrow resonance states is detected at the energy range 0 < E ≤ 2 MeV above the three-cluster threshold 4He + d + Λ.

References

1. D.H. Davis. 50 years of hypernuclear physics. I. The early experiments. Nucl. Phys. A 754, 3 (2005).

https://doi.org/10.1016/j.nuclphysa.2005.01.002

2. R.H. Dalitz. 50 years of hypernuclear physics. II. The later years. Nucl. Phys. A 754, 14 (2005).

https://doi.org/10.1016/j.nuclphysa.2005.01.016

3. J.H. Chen, L.S. Geng, E. Hiyama, Z.W. Liu, J. Pochodzalla. Perspectives for hyperon and hypernuclei physics. arXiv:2506.00864v1 [nucl-th].

4. P. Eckert, P. Achenbach, et al. Chart of Hypernuclides - Hypernuclear Structure and Decay Data (2021).

5. A. Gal, J.M. Soper, R.H. Dalitz. A shell-model analysis of Λ binding energies for the p-shell hypernuclei III. Further analysis and predictions. Ann. Phys. 113, 79 (1978).

https://doi.org/10.1016/0003-4916(78)90250-6

6. D.J. Millener. Shell-model calculations for p-shell hypernuclei. Nucl. Phys. A 881, 298 (2012).

https://doi.org/10.1016/j.nuclphysa.2012.01.019

7. N.K. Glendenning, D. von-Eiff, M. Haft, H. Lenske, M.K. Weigel. Relativistic mean-field calculations of Λ and Σ hypernuclei. Phys. Rev. C 48, 889 (1993).

https://doi.org/10.1103/PhysRevC.48.889

8. I. Vida˜na, A. Polls, A. Ramos, H.J. Schulze. Hypernuclear structure with the new Nijmegen potentials. Phys. Rev. C 64, 044301 (2001).

https://doi.org/10.1103/PhysRevC.64.044301

9. R. Wirth, D. Gazda, P. Navr'atil, A. Calci, J. Langhammer, R. Roth. Ab initio description of p-shell hypernuclei. Phys. Rev. Lett. 113, 192502 (2014).

https://doi.org/10.1103/PhysRevLett.113.192502

10. H. Le, J. Haidenbauer, U.G. Meißner, A. Nogga. Jacobi no-core shell model for p-shell hypernuclei. Eur. Phys. J. A 56, 301 (2020).

https://doi.org/10.1140/epja/s10050-020-00100-4

11. T. Motoba, H. Bando, K. Ikeda. Light p-shell λ-hypernuclei by the microscopic three-cluster model. Prog. Theor. Phys. 70, 189 (1983).

https://doi.org/10.1143/PTP.70.189

12. T. Motoba, H. Bando, K. Ikeda, T. Yamada. Chapter III. Production, structure and decay of light p-shell lambdahypernuclei. Prog. Theor. Phys. Suppl. 81, 42 (1985).

https://doi.org/10.1143/PTPS.81.42

13. E. Hiyama, T. Yamada. Structure of light hypernuclei. Prog. Part. Nucl. Phys. 63, 339 (2009).

https://doi.org/10.1016/j.ppnp.2009.05.001

14. E. Hiyama. Few-body aspects of hypernuclear physics. Few-Body Systems 53, 189 (2012).

https://doi.org/10.1007/s00601-011-0296-8

15. A.V. Nesterov, M. Solokha-Klymchak. Properties of 4λh hypernucleus in three-cluster microscopic models. Ukr. J.

Phys. 66, 846 (2021).

https://doi.org/10.9785/ag-2021-662216

16. A.V. Nesterov, Y.A. Lashko, V.S. Vasilevsky. Structure of the ground and excited states in 9ΛBe nucleus. Nucl. Phys. A 1016, 122325 (2021).

https://doi.org/10.1016/j.nuclphysa.2021.122325

17. V. Vasilevsky, A.V. Nesterov, F. Arickx, J. Broeckhove. Algebraic model for scattering in three-s-cluster systems. I. Theoretical background. Phys. Rev. C 63, 034606 (2001).

https://doi.org/10.1103/PhysRevC.63.034606

18. A.V. Nesterov, F. Arickx, J. Broeckhove, V.S. Vasilevsky. Three-cluster description of properties of light neutronand proton-rich nuclei in the framework of the algebraic version of the resonating group method. Phys. Part. Nucl. 41, 716 (2010).

https://doi.org/10.1134/S1063779610050047

19. V. Vasilevsky, F. Arickx, W. Vanroose, J. Broeckhove. Microscopic cluster description of 12C. Phys. Rev. C 85, 034318 (2012).

https://doi.org/10.1103/PhysRevC.85.034318

20. V.S. Vasilevsky, K. Kato, N. Takibayev. Formation and decay of resonance states in 9Be and 9B nuclei: Microscopic three-cluster model investigations. Phys. Rev. C 96, 034322 (2017).

21. V.S. Vasilevsky, K. Kat¯o, N. Takibayev. Systematic investigation of the Hoyle-analog states in light nuclei. Phys. Rev. C 98, 024325 (2018).

https://doi.org/10.1103/PhysRevC.98.024325

22. F. Zernike, H.C. Brinkman. Hypersph¨arische Funktionen und die in sph¨arische Bereichen orthogonalen Polynome. Proc. Kon. Acad. Wetensch. Amsterdam 38, 161 (1935).

23. V.S. Vasilevsky, Y.A. Lashko, G.F. Filippov. Two- and three-cluster decays of light nuclei within a hyperspherical harmonics approach. Phys. Rev. C 97, 064605 (2018).

https://doi.org/10.1103/PhysRevC.97.064605

24. A. Hasegawa, S. Nagata. Ground state of 6Li. Prog. Theor. Phys. 45, 1786 (1971).

https://doi.org/10.1143/PTP.45.1786

25. F. Tanabe, A. Tohsaki, R. Tamagaki. αα scattering at intermediate energies. Prog. Theor. Phys. 53, 677 (1975).

https://doi.org/10.1143/PTP.53.677

26. Y. Yamamoto, T. Motoba, H. Himeno, K. Ikeda, S. Nagata. Hyperon-nucleon and hyperon-hyperon interactions in nuclei. Prog. Theor. Phys. Suppl. 117, 361 (1994).

https://doi.org/10.1143/PTPS.117.361

27. N. Kalzhigitov, N.Z. Takibayev, V.S. Vasilevsky, E.M. Akzhigitova, V.O. Kurmangaliyeva. A microscopic two-cluster model of processes in 6Li. News Nat. Acad. Scien. Rep. Kazakhstan: Phys.-Math. Ser. 4, 332 (2020).

28. N.K. Kalzhigitov, S. Amangeldinova, V.O. Kurmangaliyeva, V.S. Vasilevsky. Discrete and continuous spectrum of lightest hypernuclei. arXiv:2509.01932v1 [nucl-th].

29. A.V. Nesterov, V.S. Vasilevsky, T.P. Kovalenko. Effect of cluster polarization on the spectrum of the 7Li nucleus and on the reaction 6Li(n, 3H)4He. Phys. Atom. Nucl. 72, 1450 (2009).

https://doi.org/10.1134/S1063778809090051

Published

2026-01-30

Issue

Section

Fields and elementary particles

How to Cite

Structure of Hypernucleus 7ΛLi within Microscopic Three-Cluster Model. (2026). Ukrainian Journal of Physics, 71(1), 15. https://doi.org/10.15407/ujpe71.1.15

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