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 2011, volume 12, issue 1, pages 7-15.
Section: Nuclear Physics.
Received: 08.12.2010; Published online: 30.03.2011.
PDF Full text (en)
https://doi.org/10.15407/jnpae2011.01.007

Structure peculiarities of three- and four-cluster nuclei 6He, 6Li, and 10Be, 10C

B. E. Grinyuk, I. V. Simenog

M. M. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

Abstract: Within a three-particle model (α + N + N), structure peculiarities of 6He and 6Li halo nuclei are studied. Within a four-particle model (α + α + N + N), the structure of 10Be and 10С nuclei is analized and compared with that of 6He and 6Li. The charge density distributions and form factors of these nuclei are calculated and explained. The density distributions of extra nucleons in 10Be and 10С are studied and compared with the calculated distributions of halo nucleons in 6He and 6Li. A detailed study of the asymptotics of the density distributions is carried out for the three-particle 6He and 6Li nuclei. Asymptotic behavior of the amplitudes of clusterization is analyzed, and the coefficients of clusterization are calculated for the deuteron cluster in 6Li and the dineutron cluster in 6He. The variational method with optimized Gaussian bases is used in calculations.

Keywords: 6He, 6Li, 10Be, 10C, charge density distribution, form factor, coefficient of clusterization.

References:

1. Zhukov M. V., Danilin B. V., Fedorov D. V. et al. Bound State Properties of Borromean Halo Nuclei: 6He and 11Li. Physics Reports 231 (1993) 151. https://doi.org/10.1016/0370-1573(93)90141-Y

2. Kukulin V. I., Pomerantsev V. N., Razikov Kh. D. et al. Detailed Study of the Cluster Structure of Light Nuclei in a Three-Body Model (IV). Large Space Calculation for A = 6 Nuclei with Realistic Nuclear Forces. Nucl. Phys. A 586 (1995) 151. https://doi.org/10.1016/0375-9474(94)00494-8

3. Василевский В. С., Нестеров А. В., Арикс Ф., Ван Лёувен П. Трехкластерный вариант алгебраической версии метода резонирующих групп и его применение к исследованию свойств связанных состояний ядер 6Не и 8Не. Зб. наук. праць Ін-ту ядерних досл. 3 (2002) 51. https://jnpae.kinr.kyiv.ua/03.2/Articles_PDF/jnpae-2002-03-2-051.pdf

4. Вербицкий В. П., Поздняков Ю. А., Теренецкий К. О. Вариационный расчет энергии основного состояния ядра 6Не в трехкластерном приближении метода резонирующих групп. Изв. РАН. Сер. физ. 60 (1996) 52.

5. Гринюк Б. Е., Сименог И. В. Структура ядра 6Не в трехчастичной модели. Ядерная физика 72 (2009) 10;

Grinyuk B. E., Simenog I. V. Structure of the 6Не Nucleus in the Three-Particle Model. Phys. Atomic Nuclei 72 (2009) 6. https://doi.org/10.1134/S1063778809010025

6. Grinyuk B. E., Simenog I. V. Three-Particle Structure of the Halo Nucleus 6Li. Nuclear Physics and Atomic Energy 10 (2009) 9. https://jnpae.kinr.kyiv.ua/10.1/Articles_PDF/jnpae-2009-10-0009-Grinyuk.pdf

7. Kukulin V. I., Krasnopol'sky V. M. A Stochastic Variational Method for Few-Body Systems. J. Phys. G: Nucl. Phys. 3 (1977) 795. https://doi.org/10.1088/0305-4616/3/6/011

8. Suzuki Y., Varga K. Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems (Springer, Berlin, 1998).

9. Grinyuk B. E., Simenog I. V. Asymptotic Features of Density Distributions and Form Factors for 6Li and 6He Nuclei within the Three-Particle Model. Ukr. J. Phys. 55 (2010) 369.

10. Ali S., Bodmer A. R. Phenomenological α-α Potentials. Nucl. Phys. 80 (1966) 99. https://doi.org/10.1016/0029-5582(66)90829-7

11. Ogawa Y., Arai K., Suzuki Y., Varga. K. Microscopic Four-Cluster Description of 10Be and 10C with the Stochastic Variational Method. Nucl. Phys. A 673 (2000) 122. https://doi.org/10.1016/S0375-9474(00)00133-0

12. Akhiezer A. I., Sitenko A. G., Tartakovsky V. K. Nuclear Electrodynamics (Springer, Berlin, 1994).

13. 13. Frosch R. F., McCarthy J. S., Rand R. E., Yearian M. R. Structure of the 4He Nucleus from Elastic Electron Scattering. Phys. Rev. 160 (1967) 874. https://doi.org/10.1103/PhysRev.160.874

14. P. E. Bosted et al. Measurements of the Electric and Magnetic Form Factors of the Proton from Q2 = 1.75 to 8.83 (GeV/c)2. Phys. Rev. Lett. 68 (1992) 3841. https://doi.org/10.1103/PhysRevLett.68.3841

15. П’ятницький Д. В., Сименог І. В. Кореляційні функції, імпульсні розподіли та коефіцієнти кластеризації для тринуклонних ядер. Ядерна фізика та енергетика 10 (2009) 36. https://jnpae.kinr.kyiv.ua/10.1/Articles_PDF/jnpae-2009-10-0036-Piatnytskyi.pdf

16. П’ятницький Д. В., Сименог І. В. Асимптотики розподілів густини, імпульсних розподілів та формфакторів тринуклонних ядер. Ядерна фізика та енергетика 11 (2010) 16. https://jnpae.kinr.kyiv.ua/11.1/Articles_PDF/jnpae-2010-11-0016-Piatnytskyi.pdf

17. Меркурьев С. П. Об асимптотическом виде трехчастичных волновых функций дискретного спектра. Ядерная физика 19 (1974) 447.

18. Faddeev L. D., Merkuriev S. P. Quantum Scattering Theory for Several Particle Systems (Kluwer, Dordrecht, 1993). https://doi.org/10.1007/978-94-017-2832-4

19. Filippov G. F., Ovcharenko V. I., Simenog I. V. Cluster Structure of the Three-Particle Bound State. Preprint ITP-71-74E (Kyiv, 1971) 46 p.

20. Блохинцев Л. Д., Борбей И., Долинский Э. И. Ядерные вершинные константы. ЭЧАЯ 8 (1977) 1189.

21. Grinyuk B. E., Piatnytskyi D. V., Simenog I. V. Structure Characteristics of a 4He Nucleus within the Microscopic Approach. Ukr. J. Phys. 52 (2007) 424.

22. Amado R. D., Woloshyn R. M. Momentum Distributions in the Nucleus. Phys. Lett. B 62 (1976) 253. https://doi.org/10.1016/0370-2693(76)90067-8