Abstract
The straightforward calculations of the nucleus–nucleus scattering cross sections are carried out in Glauber approach using the generating function method. It allows for the resummation of all orders of Glauber theory. The results are obtained for a number of light nuclei isotopes scattering on 12C and 27Al targets. Their radii, extracted by comparing the calculated cross sections with the experimental ones, are presented.
References
[1] Y. M. Shabelski and A. G. Shuvaev, Generating function for nucleus–nucleus scattering amplitudes in Glauber theory, Physical Review C 104 (6) (2021) 064607. arXiv:2104.04943 [hep-ph].
[2] I. S. Novikov and Y. Shabelski, Complete Glauber calculations of reaction and interaction cross sections for light-ion collisions, Physics of Atomic Nuclei 78 (8) (2015) 951–955. arXiv:1302.3930 [nucl-th].
[3] I. Tanihata, H. Hamagaki, O. Hashimoto, S. Nagamiya, Y. Shida, N. Yoshikawa, O. Yamakawa,K. Sugimoto, T. Kobayashi, D. E. Greiner, N. Takahashi, Y. Nojiri, Measurements of interactioncross-sections and radii of He isotopes, Physics Letters B 160 (1985) 380–384.
[4] I. Tanihata, H. Hamagaki, O. Hashimoto, Y. Shida, N. Yoshikawa, K. Sugimoto, O. Yamakawa, T. Kobayashi and N. Takahashi, Measurements of interaction cross-sections and nuclear radii in the light p shell region, Physical Review Letters 55 (1985) 2676–2679.
[5] W. Horiuchi, Y. Suzuki, B. Abu-Ibrahim and A. Kohama, Systematic analysis of reaction cross-sections of carbon isotopes, Physical Review C 75 (2007) 044607 [erratum: Physical Review C 76 (2007) 039903]. arXiv:nucl-th/0612029 [nucl-th].
[6] W. Czyz and L. C. Maximon, High-energy, small angle elastic scattering of strongly interacting composite particles, Annals of Physics 52 (1969) 59–121.
[7] A. Bialas, M. Bleszynski and W. Czyz, Relation between the Glauber model and classical probability calculus, Acta Physica Polonica B 8 (1977) 389–392. INP-951/PH.
[8] G. D. Alkhazov, T. Bauer, R. Bertini, L. Bimbot, O. Bing, A. Boudard, G. Bruge, H. Catz, A. Chaumeaux, P. Couvert, et al., Elastic and inelastic scattering of 1.37-GeV alpha particles from Ca-40, Ca-42, Ca-44, Ca-48, Nuclear Physics A 280 (1977) 365–376.
[9] G. D. Alkhazovi, Y. Shabelski and I. S. Novikov, Nuclear radii of unstable nuclei, International Journal of Modern Physics E 20 (2011) 583–627. arXiv:1101.4717 [nucl-th].
[10] A. Ozawa, T. Suzuki and I. Tanihata, Nuclear size and related topics, Nuclear Physics A 693 (2001) 32–62.
[11] M. A. M. Hassan, M. S. M. Nour El-Din, A. Ellithi, E. Ismail and H. Hosny, The effect of halo nuclear density on reaction cross-section for light ion collision, International Journal of Modern Physics E 24 (08)(2015) 1550062.
[12] I. Tanihata, Neutron halo nuclei, Journal of Physics G 22 (1996) 157–198.
[13] M. V. Zhukov, B. V. Danilin, D. V. Fedorov, J. M. Bang, I. J. Thompson and J. S. Vaagen, Bound state properties of Borromean halo nuclei: He-6 and Li-11, Physics Reports 231 (1993) 151–199.

