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

Full text (ru)

V. P. Mikhailyuk, Yu. A. Pozdnyakov

Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine

Abstract: In the framework of variation calculations on the basis of resonating group method with exact consideration of the Pauli principle the most probable geometric configuration of the ground state ⁶He nucleus (two-neutron α - ²n and linear three-cluster n - α - n) is obtained. For both configurations the calculation of observables in the elastic 721-MeV protons on ⁶He nucleus were carried out. As occurred, existing experimental data on elastic proton scattering (elastic scattering differential cross-section at -t ≤ 0.1 (GеV/c)² transferred momenta) do not allow to draw a reliable conclusion as for the preference of a ground state ⁶He geometric configuration obtained in the variation calculations. It is shown that experimental data for polarization and spin rotation function in the region of -t ≥ 0.1 (GеV/c)² transferred momenta will allow to acquire more reliable conclusion, as for the most probable geometric configuration of the ground state ⁶He nucleus.

1. Zhukov M. V., Danilin B. V., Fedorov D. V. et al. Phys. Rep. 231 (1993) 151. https://doi.org/10.1016/0370-1573(93)90141-Y

2. Alkhazov G. D., Andronenko M. N., Dobrovl'sky A. V. et al. Phys. Rev. Lett. 78 (1997) 2313. https://doi.org/10.1103/PhysRevLett.78.2313

3. Suzuki Y., Takahashi M., Lovas R. G., Varga K. Cluster correlations, clustering and halo structure. Nucl. Phys. A 706 (2002) 123. https://doi.org/10.1016/S0375-9474(02)00864-3

4. Neumaier S. R., Alkhazov G. D., Andronenko M. N. et al. Nucl. Phys. A 712 (2002) 247. https://doi.org/10.1016/S0375-9474(02)01274-5

5. Abu-Ibrahim B., Fujimura K., Suzuki Y. Nucl. Phys. A 657 (1999) 391. https://doi.org/10.1016/S0375-9474(99)00339-5

6. Greiner W., Park J., Scheid W. Nuclear Molecules (World Scientific, 1995) 456 p. https://doi.org/10.1142/9789812831927

7. Филлипов Г. Ф., Вербицкий В. П., Поздняков Ю. А. Трехкластерное приближение алгебраической версии метода резонирующих групп. Основное состояние ядра ⁹Li. Ядерная физика 58 (1995) 1204.

8. 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.

9. Fock Von V. Verallgemeinerung und Lösung der Diracschen statistischen Gleichung. Z. Phys. 49 (1928) 339.

10. Bargmann V. On the Representations of the Rotation Group. Rev. Mod. Phys. 34 (1962) 829. https://doi.org/10.1103/RevModPhys.34.829

11. Переломов А. М. Обобщенные когерентные состояния и их применения (Москва: Наука, 1987) 268 с.

12. Brink D. M. The Alpha-Particle Model of Light Nuclei. International School of Physics "E. Fermi" (New York: Acad. Press, 1965) Course 37, 247 p.

13. Volkov А. В. Equilibrium deformation calculations of the ground state energies of 1p shell nuclei. Nucl. Phys. 74 (1965) 33. https://doi.org/10.1016/0029-5582(65)90244-0

14. Ajzenberg-Selow F. Energy levels of light nuclei A = 5 - 10. Nucl. Phys. A 320 (1979) 1. https://doi.org/10.1016/0375-9474(79)90146-5

15. Kukulin V. I., Krasnopol'sky V. M., Voronchev V. T., Sazonov P. B. Detailed study of the cluster structure of light nuclei in a three-body model: (II) The spectrum of low-lying states of nuclei with A = 6. Nucl. Phys. A 453 (1986) 365. https://doi.org/10.1016/0375-9474(86)90443-4

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

17. Zhukov M. V., Chulkov L. V., Danilin B. V., Korsheninnikov A. A. Specific structure of the ⁶He nucleus and fragmentation experiments. Nucl. Phys. A 533 (1991) 428. https://doi.org/10.1016/0375-9474(91)90526-C

18. 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

19. Funada S., Kameyama H., Sakuragi Y. Nucl. Phys. A 575 (1994) 93. https://doi.org/10.1016/0375-9474(94)90140-6

20. Berezhnoy Yu. A., Pilipenko V. V., Khomenko G. A. Polarization in proton-carbon elastic scattering and the α-particle model with dispersion. J. Phys. G 10 (1984) 63. https://doi.org/10.1088/0305-4616/10/1/011

21. Berezhnoy Yu. A., Mikhailyuk V. P., Pilipenko V. V. Elastic and inelastic intermediate-energy proton multiple scattering on ¹²C and ¹⁶O nuclei. J. Phys. G 18 (1992) 85. https://doi.org/10.1088/0954-3899/18/1/008

22. Бережной Ю. А., Михайлюк В. П., Пилипенко В. В. Упругое и неупругое рассеяние протонов промежуточных энергий ядрами углерода и кислорода. Ядерная физика 55 (1992) 1885.

23. Бережной Ю. А., Михайлюк В. П. Упругое рассеяние протонов промежуточных энергий ядрами ⁹Be в 2αn-модели. Ядерная физика 67 (2004) 1474.

24. Berezhnoy Yu. A., Mikhailyuk V. P. Eur. Phys. J. A 22 (2004) 443. https://doi.org/10.1140/epja/i2003-10241-9

25. Berezhnoy Yu. A., Mikhailyuk V. P. Elastic scattering of intermediate energy particles on ²⁰Ne nuclei. Int. J. Mod. Phys. E 8 (1999) 485. https://doi.org/10.1142/S021830139900032X

26. Бережной Ю. А., Михайлюк В. П. Упругое рассеяние протонов с энергией 800 МэВ ядрами ²⁰Ne. Ядерная физика 63 (2000) 783.

27. Бережной Ю. А., Михайлюк В. П. Упругое рассеяние протонов ядрами ²⁰Ne и α-кластерная модель с дисперсией. Изв. РАН. Сер. физ. 65 (2001) 721.

28. Berezhnoy Yu. A., Mikhailyuk V. P. Polarization observables in elastic scattering of protons on ⁹Be nuclei. J. Phys. G 8 (2004) 55. https://doi.org/10.30970/jps.08.55

29. Alkhazov G. D., Dobrovol'sky A. V., Egelhof P. et al. Nuclear matter distribution in the ⁶He and ⁸He nuclei from differential cross sections for small-angle proton elastic scattering at intermediate energy. Nucl. Phys. A 712 (2002) 269. https://doi.org/10.1016/S0375-9474(02)01273-3

30. Varga K., Pieper S. C., Suzuki Y., Wiringa R. B. Monte Carlo integration in Glauber model analysis of reactions of halo nuclei. Phys. Rev. C 66 (2002) 034611. https://doi.org/10.1103/PhysRevC.66.034611

31. Алхазов Г. Д., Лободенко А. А. Упругое рассеяние протонов с энергией 1 ГэВ на ядрах ¹¹Li. Ядерная физика 53 (1993) 89.

32. Weppner S. P., Garcia O., Elster Ch. Sensitivity of the proton-nucleus elastic scattering observables of ⁶He and ⁸He at intermediate energies. Phys. Rev. C 61 (2000) 044601. https://doi.org/10.1103/PhysRevC.61.044601