Microscopic K{sup +}-nucleus optical potential and calculations of differential elastic-scattering cross sections and total reaction cross sections

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778810080181· OSTI ID:21426680

Zemlyanaya, E V; Lukyanov, K V ^[1]; Hanna, K M ^[2]

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1. Joint Institute for Nuclear Research (Russian Federation)
2. NRC, Atomic Energy Authority, Department of Mathematical and Theoretical Physics (Egypt)

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 Schroedinger 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.

• OSTI ID: 21426680
• Journal Information: Physics of Atomic Nuclei, Vol. 73, Issue 8; Other Information: DOI: 10.1134/S1063778810080181; Copyright (c) 2010 Pleiades Publishing, Ltd.; ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
BEAMS
CALCIUM 40
CARBON 12
CROSS SECTIONS
DENSITY
ELASTIC SCATTERING
EXPERIMENTAL DATA
GEV RANGE
KAON-NUCLEON INTERACTIONS
KAONS PLUS
KLEIN-GORDON EQUATION
NUCLEONS
POTENTIALS
SCATTERING AMPLITUDES
SCHROEDINGER EQUATION
ALKALINE EARTH ISOTOPES
AMPLITUDES
BARYONS
BOSONS
CALCIUM ISOTOPES
CALCULATION METHODS
CARBON ISOTOPES
DATA
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
EVEN-EVEN NUCLEI
FERMIONS
FIELD EQUATIONS
HADRON-HADRON INTERACTIONS
HADRONS
INFORMATION
INTERACTIONS
ISOTOPES
KAONS
LIGHT NUCLEI
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MESONS
NUCLEI
NUMERICAL DATA
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PHYSICAL PROPERTIES
PSEUDOSCALAR MESONS
SCATTERING
STABLE ISOTOPES
STRANGE MESONS
STRANGE PARTICLES
WAVE EQUATIONS