A relativistic description of the A(pi+,K+)_ΛA reaction

Abstract

We investigate the A$({\pi }^{+},K^{+}){}_{\Lambda }$A reaction within a covariant model. We consider those amplitudes which are described by creation, propagation and decay into relevant channel of $N^{\ast }$(1650), $N^{\ast }$(1710), and $N^{\ast }$(1720) intermediate baryonic resonance states in the initial collision of the incoming pion with one of the target nucleons. The bound state nucleon and hyperon wave functions are obtained by solving the Dirac equation with appropriate scalar and vector potentials. Expressions for the reaction amplitudes are derived taking continuum particle wave function in the plane wave approximation. Numerical calculations are presented for reactions on ${}^{12}$C, ${}^{40}$Ca, ${}^{51}$V and ${}^{89}$Y target nuclei. The predictions of our model are in reasonable agreement with the available experimental data.

19 pages, 14 figures; revised version to appear in Nucl. Phys. A

References in corpus (4)

• Photoproduction of eta meson within a coupled-channels K-matrix approach
• Photoproduction of hypernuclei within the quark-meson coupling model
• Hypernuclear production by ($\gamma ,K^{+}$) reaction within a relativistic model
• Correlations in hypernuclear matter

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• Distillation of scalar exchange by coherent hypernucleus production in antiproton-nucleus collisions
• Production of the H dibaryon via the (K^-,K^+) reaction on a ${}^{12}$C target
• Theory of Majorana-Type Heavy Ion Double Charge Exchange Reactions by Pion--Nucleon Isotensor Interactions
• SU(3) Approach to Hypernuclear Interactions and Spectroscopy
• Production and Interactions of Hyperons and Hypernuclei