ANALYSIS OF SCATTERING OF α-PARTICLES AND ³Не ON ⁹Ве NUCLEI IN A WIDE RANGE OF ENERGIES WITHIN THE FRAMEWORK OF THE OPTICAL MODEL AND THE COUPLED CHANNEL METHOD

The analysis of the existing experimental data on the elastic scattering of α -particles and ³He on ⁹Be nuclei in a wide energy range (18–100 MeV) is carried out using the optical model of the nucleus. Optimal parameters of optical potentials are found. With these potentials, the measured angular distributions of elastic and inelastic scattering at α-particle energies of 45 and 50 MeV and ³He with energies of 50 and 60 MeV with excitation of collective states of 2.429 MeV (5/2⁻) and 6.38 MeV (7/2⁻) of the ⁹Be nucleus were analyzed using the coupled channel method. The values of the quadrupole deformation parameters are extracted. The contribution of the cluster structure and the mechanism of cluster exchange ⁵He and ⁶He to the excitation of the nucleus is estimated.

1. Von Oertzen W., Freer M., Kanada-En’yo Y. Nuclear clusters and nuclear molecules // Physics Reports – 2006. – Vol. 432 – P. 43.

2. Freer M., Horiuchi H., Kanada-En’yo Y., Lee D., Meibner Ulf-G. Microscopic clustering in light nuclei // Reviews of Modern Physics. – 2018. – Vol. 90. – P. 035004. https://doi.org/10.1103/RevModPhys.90.035004

3. Brown T.A.D., Papka P., Fulton B.R., Watson D.L., Fox S.P., Groombridge D., Freer M., Clarke N.M., Ashwood N.I., Curtis N., Ziman V., McEwan P., Ahmed S., Catford W.N., Mahboub D., Timis C.N.. Baldwin T.D., Weisser D.C. Decay studies for states in 9Be up to 11 MeV: Insights into the n+8Be and α+5He cluster // Phys. Rev. – 2007. – Vol. 76. – P.054605.

4. Papka P., Brown T.A.D., Fulton B.R., Watson D.L., Fox S.P., Groombridge D., Freer M., Clarke N.M., Ashwood N.I., Curtis N., Ziman V., McEwan P., Ahmed S., Catford W.N., Mahboub D., Timis C.N., Baldwin T.D., Weisser D.C. Decay path measurements for the 2.429 MeV state in 9Be: Implications for the astrophysical α + α + n reaction // Phys. Rev. – 2007. – Vol. 75. – P. 045803.

5. Burda O., Neumann-Cosell P., Richter A., Forsen C., Brown B. A. Resonance parameters of the first 1/2+ state in 9Be and astrophysical implications // Phys. Rev. – 2010. – Vol. 82. – P. 015808.

6. Konobeevski E.S., Afonin A.A., Zuyev S.V., Kasparov A.A., Mitcuk V.V., Mordovskoy M.V., Lebedev V.M. and Spassky A.V. Probing the cluster structure of a light nucleuswith d 9Be scattering // Bulletin of the Russian Academy of Sciences Physics. – 2019. – Vol.83. – P. 433.

7. Huang B.S., Ma Y.G. Dipole excitation of 6Li and 9Be studied with an extended quantum molecular dynamics model // Phys.Rev. – 2021. – Vol. 103. – P. 054318. https://doi.org/10.1103/PhysRevC.103.054318

8. Starastsin V., Demyanova A.S., Danilov A.N. Determination of the radii of states in the 11–14 MeV excitation region in the 9Be nucleus // Physics of Atomic Nuclei. – 2023. – Vol. 86(4). – P. 445–449. https://doi.org/10.1134/S10637788230403369

9. Voronchev V.T., Kukulin V.I., Pomerantsev V.N., Razikov Kh.D., Ryzhikh G.G. Analysis of the structure and properties of nuclei with A = 9 (9Be-9B) in the dynamic multicluster 2α + N model // Phys. Atomic Nuclei. –1994. – Vol. 57. – P. 1890.

10. Voronchev V.T., Kukulin V.I., Pomerantsev V.N. et al. Three-body calculations оf A=9 nuclei with supersymmetric α-α potentials. // Few-Body Systems. –1995. – Vol. 18. – P. 191.

11. Ibraeva E.T., Zhusupov M.A., Zaykin A.Yu., Sagindykov Sh.Sh. Trekh-chastichnaya struktura izobar s A = 9: Be, Li, C, i uprugoe rasseyanie protonov // Yadernaya fizika, –2009. – Vol. 72. – P. 1777. (In Russ.)]

12. Bohr A., Mottelson B.R. Nuclear Structure / New York – 1974. –Vol. II.

13. Tilley D.R., Kelley J.H., Godwin J.L., Millener D.J., Purcell J., Sheu C.G. and Weller H.R. Energy Levels of Light Nuclei A = 9 // Nucl. Phys. A. – 2004. – Vol. 745. – P. 155.

14. Taylor R.B., Fletcher N.R., Davis R.H. Elastic scattering of 4-20 MeV alpha Particles by 9Be // Nucl.Phys. – 1965. – Vol. 65. – P. 318.

15. Burtebayev N. Issledovanie mekhanizma uprugo rasseyaniya α-chastits na yadre 9Be // VANT, Fizika yadernykh reaktorov. –2002. – No. 1. – P. 137–142. (In Russ.)]

16. Duysebaev A. i dr. Anomalnoe rasseyaniye 50 MeV α-chastits na yadrah 9Ве, 12С, 13С // Izv. AN Kaz. SSR. Ser. fiz.-mat. –1978. – No. 4. – P.13. (In Russ.)]

17. Hauser G., Lohken R., Rebel H. et.al. Elastic scattering of 104 MeV alpha particles // Nucl. Phys. A. – 1968. – Vol. 128. – P. 81.

18. Janseitov D.M., Lukyanov S.M., Mendibayev K. et al. Investigation of the elastic and inelastic scattering of 3He from 9Be in the energy range 30-60 MeV // International Journal of Modern Physics E. – 2018. – Vol. 10 – P. 1850089. https://doi.org/10.1142/S0218301318500891

19. Adodin V.V., Duysebaev A.D., Burtebayev N. Raduzhnye effekty v protsessakh rasseyaniya i reaktsii (3He,α) na yadrakh 9Be, 12,13C, 14N, 16O pri energiyakh ionov 3He 50 i 60 MeV // Yadernaya fizika. –1992. – No. 3. – P. 577. (In Russ.)]

20. Thompson I.J / FRESCO, Department of Physics, University of Surrey, July 2006, GuildfordGU27XH, England. version FRESCO 2.0. URL: http://www.fresco.org.uk/

21. Nolte M., Machner H., Bojowald J. Global optical potential for -particles with energies above 80 MeV // Phys. Rev. C – 1987. – Vol. 36. – P. 1312.

22. Burtebayev N., Baktybaev M.K., Duysebaev B.A., Sakhiev S.K., Kerimkulov Zh K., Mukashev K.M., Isabekova G.S. Analiz rasseyaniya ionov 3He i α-chastits na yadrakh 7Li, 9Be i 11B pri energiyakh 10-20 MeV/nuklon // Vestnik KazNPU im. Abaya. –2007. – No. 1. – P. 49–56. (In Russ.)]

23. Roy S., Chatterjee J. M. and Majumdar H. Coupled channel folding model description of a scattering from Be // Phys. Rev. C. – 1995. – Vol. 52. – P. 1524.

24. Lukyanov S.M., Denikin A.S., Voskoboynik E.I. Study of internal structures of 9,10Be and 10B in scattering of 4He from 9Be // J. Phys. G: Nucl. Part. Phys. – 2014. – Vol. 41. – P. 035102. https://doi.org/10.1088/0954-3899/41/3/035102

25. Harakeh M.N., van Popta J., Saha A. and Siemssen R.H. Strong coupled-channels effects in the 9Be(, t)10B reaction // Nucl. Phys. A. – 1980. – Vol. 15. – P. 344.

26. Urazbekov B.A., Issayev T., Lukyanov S.M., Azhibekov A., Denikin A.S., Mendibayev K., Janseitov D.M.,. Penionzhkevich Yu.E,. Kuterbekov K.A, Zholdybayev T.K. Reaction induced by 30 MeV beam on 9Be: cluster transfer reactions // Chinese Physics. – 2024. – Vol. 48. – P. 014001.

27. Teplov I.B., Zelenskaya N.S., Lebedev V.M., Spasskiy A.V. Obratnye maksimumy secheniy v yadernykh reaktsiyakh i obmennye protsessy // EChAYa. –1977. – Vol. 8. – P. 769. (In Russ.)]

28. Gridnev K.A., Ogloblin A.A. Anomal'noe rasseyanie nazad i kvazi-molekulyarnaya struktura yader // EChAYa. –1975. – Vol. 6, – P. 393. (In Russ,)]

29. Madansky L., Oven G.E. Heavy particle stripping // Phys. Rev. – 1955. – Vol. 91. – P. 99. https://doi.org/10.1103/PhysRev.99.1608

30. Balashov V.V., Neudachin V.G., Smirnov Yu.F., Yudin N.P. Privedennye shiriny dlya nuklonnykh assotsiatsiy v modeli obolochek // ZhETF. –1959. – Vol. 37. – P. 1385. (In Russ.)]

31. Nemets O.F., Neudachin V.G., Rudchik A.T., Smirnov Yu.F., Tchuvil'skiy Yu.M. Nuklonnye assotsiatsiy v atomnykh yadrakh i yadernye reaktsiy mnogonuklonnykh peredach / Kiev. “Naukova Dumka”. – 1988. (In Russ.)]