Inelastic proton scattering on excited states of 9Вe nucleus ( J 3 2 , 5/ 2 ) in the framework of glauber theory
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Keywords:
beryllium 9, nuclear models, glauber theory, inelastic scattering, differential cross sectionAbstract
In the framework of Glauber diffraction theory a calculation of ifferential cross section for inelastic р9Ве-scattering has been carried out. The wave function of 9Ве nucleus for the ground and the excited states in the three-particle ++n-model was used. The expansion of the 9Ве nucleus wave function in a series by gaussterms and representation of the Glauber Ω operator in a form which conjugates to the three-particle wave function allow to calculate analytically the matrix elements of the inelastic scattering with account of all orders of scattering and re-scattering on clusters and nucleon composing the 9Ве nucleus. The maximum of the calculated differential cross section with the wave function in both models is close to the experimental maximum, however at θ > 35* with the wave function in the model 1 it ecreases faster than the experimental one, in the model 2 – slower. For comparison we bring forward the result of differential cross section calculation in the distorted wave approximation with the effective density-dependent interaction which is based on the Paris potential.References
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[3] Keeley N., Alamanos N., Rusek K., Kemper K. W. Generation of a repulsive dynamic polarization potential by transfer couplings // Phys. Rev. C. – 2005. – Vol. 71. – P 014611.
[4] Pandit S. K., Jha V., Mahata K., Santra S. et al. Investigation of cluster structure of 9Be from high precision elastic scattering data // Ph ys. Rev. C. – 2011. – Vol. 84. – P. 031601.
[5] Zahn W. 9Be quasibound states from a refined resonating group calculation // Nucl.Phys.A. – 1976. – Vol. 269. – P.138.
[6] Garrido E., Fedorov D.V., Jensen A.S. Above threshold s -wave resonances illustrated by the 1/2+ states in 9Be and 9B // Phys. Lett. B. – 2010. – Vol. 684. – P.132.
[7] Alvarez-Rodriguez R., Fynbo H.O.U., Jensen A.S., Garrido E. Distinction between Sequential and Direct Three-Body Decays // Phys.Rev.Lett. – 2008. – Vol.100. – P.192501.
[8] Roy G. et al. Deformation and target spin-dependent effects in 9Be+p at 220 Mev // Nucl.Phys. A. – 1985. – Vol. 442. – P. 686.
[9] Dixit S., Bertozzi W., Buti T.N. et al. Structure of 9Be from proton scattering at 180 MeV // Phys.Rev. C. – 1991. – Vol. 43. – P. 1758.
[10] Lukyanov S M, Denikin A S, Voskoboynik E I. et al. Study of internal structures of 9,10Be and 10B in scattering of 4He from 9Be // arXiv:1310.2965v3 nuclex. – 2013. – 16 p.
[11] Ibraeva E.T., Zhusupov M.A. Elastic and Inelastic Proton Scattering on 7Li Nuclei within Diffraction Theory // Phys. Part. Nucl. – 2000. – Vol. 31. – P. 1359; Ibraeva E.T., Zhusupov M.A., Zaykin A.Yu. and Sagindykov Sh.Sh. Three-body structure of A = 9 isobars (Be, Li, and C) and elastic proton scattering // Phys.Atom.Nucl. 2009. V. 72. P.1773.
[12] Glauber R.G. High - energy collision theory. Lect. Theor. Phys. – New York – London: Interscience, 1959. [13] Voronchev V.T., Kukulin V.I., Pоmerantsev V.N. Three-Body Calculations of A = 9 Nuclei with Supersymmetric α-α Potentials // Few-Body Syst. – 1995. – Vol. 18. – P. 191.
[14] Kukulin V.I., Pоmerantsev V.N., Rasikov 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. – 1995. – Vol. 586. – P. 151.
[15] Varshalovich D.A., Moskalev A.N., Hersonskij Kvantovaja teorija uglovogo momenta. – M.: Nauka, 1975. – 439 s.
[16] Ali S., Bodmer A.R. Phenomenological alpha-alpha potentials // Nucl.Phys. – 1966. – Vol. 80. – P. 99.
[17] Buck B., Friedrich H., Wheatley C. Local potential models for the scattering of complex nuclei // Nucl. Phys. A. – 1977. – Vol. 275. – P.246.
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Zhusupov М. A., Ibraeva Е. T., & Kabatayeva, R. S. (2015). Inelastic proton scattering on excited states of 9Вe nucleus ( J 3 2 , 5/ 2 ) in the framework of glauber theory. Physical Sciences and Technology, 1(2). Retrieved from https://phst.kaznu.kz/index.php/journal/article/view/43
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Nuclear Physics and Related Techology
