Microscopic [K.sup.+]--nucleus optical potential and calculations of differential elastic-scattering cross sections and total reaction cross sections

• Published in: Physics of atomic nuclei Vol. 73; no. 8; pp. 1443 - 1450
• Main Authors: Lukyanov, V.K, Zemlyanaya, E.V, Lukyanov, K.V, Hanna, K.M
• Format: Journal Article
• Language: English
• Published: Springer 01.08.2010
• ISSN: 1063-7788; 1562-692X
• DOI: 10.1134/S1063778810080181

The differential elastic-scattering cross sections and the total reaction cross sections for the interaction of [K.sup.+] mesons with [sup.12]C and [sup.40]Ca nuclei at beam momenta of 0.635, 0.715, and 0.8 GeV/c are calculated. The microscopic optical potential derived in the high-energy approximation is used in these calculations. It is determined by the amplitude for kaon--nucleon scattering and the density distribution of pointlike nucleons of the target nucleus. In the high-energy approximation, the Klein--Gordon--Fock equation reduces to the form of the Schrodinger equation. It is shown that small distinctions between the reduction methods do not lead to significant changes in differential elastic-scattering cross sections, but the effects of relativization as such are quite large. Good agreement with experimental data on elastic [K.sup.+]A scattering is attained. The total reaction cross sections can be described upon adding, to the volume potential, a term that takes the form of its derivative and which has a maximum at the periphery, its contribution being fitted to experimental data.