Nuclear Physics and Atomic Energy

Ядерна фізика та енергетика
Nuclear Physics and Atomic Energy

  ISSN: 1818-331X (Print), 2074-0565 (Online)
  Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine
  Languages: Ukrainian, English
  Periodicity: 4 times per year

  Open access peer reviewed journal


 Home page   About 
Nucl. Phys. At. Energy 2002, volume 3, issue 2, pages 51-59.
Section: Nuclear Physics.
Received: 03.06.2002; Published online: 30.12.2002.
PDF Full text (ru)
https://doi.org/10.15407/jnpae2002.02.051

Three-cluster variant of the algebraic version of resonating group method and its application to the bound state properties study of 6He and 8He nuclei

V. S. Vasilevsky1, A. B. Nesterov1, F. Arickx2, P. Van Louwen2

1Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
2University of Antwerp, Antwerp, Belgium

Abstract: Microscopic model for three-cluster configuration of light nuclei has been formulated in the frameworks of resonating group method in its algebraic version. The model has been applied for the ground states of 6He and 8He in configuration of α-particle plus two n-clusters and α-particle plus two 2n-clusters. The results have been obtained that emphasize the importance of three-cluster moving mode for adequate description of nuclear properties, especially neutron halo.

References:

1. Wildermuth K., Tang Y. A. Unified Theory of the Nucleus (Braunchweig: Vieweg, 1977). https://doi.org/10.1007/978-3-322-85255-7

2. Филиппов Г. Ф., Охрименко И. П. О возможности использования осцилляторного базиса для решении задач непрерывного спектра. Ядерная физика 32 (1980) 928.

3. Филиппов Г. Ф. Об учете правильной асимптотики в разложении по осцилляторному базису. Ядерная физика 33 (1981) 928.

4. Fujivara Y., Tang Y. C. Multiconfiguration Resonating-Group study of nuclear reaction mechanisms. Prog. Theor. Phys. 91 (1994) 631. https://doi.org/10.1143/PTP.91.631

5. Baye D., Descouvemont P. A microscopic cluster description of nuclear reaction. Suppl. J. Phys. Soc. Japan. 58 (1989) 103.

6. Vasilevsky V. S., Rubkin I. Yu. Astrophysical S-factor of the t(t, 2n)4He and 3H(3H, 2n)4He reactions. Sov. J. Nucl. Phys. 50 (1989) 411.

7. Descouvemont P. Microscopic analysis of 3H(3H, 2p)4He and 3H(3H, 2n)4He reactions in a three-cluster model. Phys. Rev. C 50 (1994) 2635. https://doi.org/10.1103/PhysRevC.50.2635

8. Csoto A., Baye D. Microscopic description of the beta delayed deuteron emission from 6He. Phys. Rev. C 49 (1994) 818. https://doi.org/10.1103/PhysRevC.49.818

9. Zhukov M. V., Danilin B. V., Fedorov D. V. et al. Bound state properties of Borromean halo nuclei 6He and 11Li. Phys. Rep. 231 (1993) 151. https://doi.org/10.1016/0370-1573(93)90141-Y

10. Danilin B. V., Zhukov M. V., Ershov S. N. et al. Dynamical multicluster model for electroweak and charge-exchange reactions. Phys. Rev. C 43 (1991) 2835. https://doi.org/10.1103/PhysRevC.43.2835

11. Мигдал А. Б. Две взаимодействующие частицы в потенциальной яме. Ядерная физика 16 (1972) 434.

12. Ogloblin A. A. Proceeding of International Conference on Exotic Light Nuclei "Present Status of Exotic Lightest Nuclei", Foros, Crimea, 1991 (Singapore: Word Sci., 1991) p. 36.

13. Jonson B., Hansen P. G. The Neutron Halo of Extremely Neutron-Rich Nuclei. Europhys. Lett. 4 (1987) 409. https://doi.org/10.1209/0295-5075/4/4/005

14. Filippov G. F., Vasilevsky V. S., Kruchchinin S. P., Chopovsky L. L. On the nature of the resonances, observed in photonuclear reactions. Sov. J. Nucl. Phys. 43 (1986) 536.

15. Filippov G. F., Vasilevsky V. S., Nesterov A. V. Excitation of 8Be resonances under αα scattering. Nucl. Phys. A 426 (1984) 327. https://doi.org/10.1016/0375-9474(84)90111-8

16. Filippov G. F., Vasilevsky V. S., Nesterov A. V. On the structure of monopoly resonances in light nuclei. Sov. J. Nucl. Phys. 40 (1984) 901.

17. Vasilevsky V. S., Nesterov A. V., Arickx F., Van Louwen P. Dynamics of α + N + N channel in 6He and 6Li. Prepr. Nat. Ac. Sci. of Ukr. Institute for Theoretical Physics ITP-96-3E (Kyiv, 1996).

18. Vasilevsky V. S., Nesterov A. V., Arickx F., Van Louwen P. Dynamics of α + n + n channel in 6He and 6Li. Physics of Atomic Nuclei (Yad. Phys.) 60 (1997) 413.

19. Филиппов Г. Ф., Базавов А. Д., Като К. О резонансах 5Н и 6Ве. Ядерная физика 62 (1999) 1763.

20. Korennov S. V., Filippov G. F., Rybkin I. Yu., Kato K. On the complete basis of Pauli-allowed states of three-cluster systems in the Fock-Bargmann space. J. Math. Phys. 36 (1995) 4571. https://doi.org/10.1063/1.530909

21. Нестеров А. В. О технике использования многочастичного осцилляторного базиса при исследовании свойств трехкластерных систем. Ядерная физика 56 (1993) 35.

22. Volkov A. B. Equilibrium deformation calculation of the ground state energy in 1p-nuclei. Nucl. Phys. 74 (1965) 33. https://doi.org/10.1016/0029-5582(65)90244-0

23. Tanihata I., Kabajashi T., Yamakava O. et al. Measurement of interaction cross sections using isotope beams of Be and B and isospin dependence of the nuclear radii. Phys. Lett. B 206 (1988) 582. https://doi.org/10.1016/0370-2693(88)90702-2

24. Tanihata I., Hirata D., Kabayashi T. et al. Revelation of thick neutron skins in nuclei. Phys. Lett. B 289 (1992) 261. https://doi.org/10.1016/0370-2693(92)91216-V

25. Neumailer S. R., Alkhazov G. D., Andronenko G. D. Scientific Report GSI 96-1 (Darmstadt: Roether Druk, 1996).

26. Nielsen E., Fedorov D. V., Jennsen A. S., Garrido E. The three-body problem with short-range interactions. Phys. Rep. 347 (2001) 373. https://doi.org/10.1016/S0370-1573(00)00107-1