pISSN 0374-4914 eISSN 2289-0041

## Research Paper

New Physics: Sae Mulli 2007; 54: 79-85

Published online February 28, 2007

## Relativistic Analysis of p + 12C Inelastic Scattering

Sugie SHIM,* Shin-Ho RYU and Min-Soo KIM

Department of Physics, Kongju National University, Kongju 314-701

Correspondence to:shim@kongju.ac.kr

### Abstract

The inelastic scattering of 800-and 1040-MeV protons from the light, axially-symmetric deformed nucleus of $^{12}$C is analyzed using the phenomenological optical potentials and the relativistic impulse approximation (RIA) optical potentials in the Dirac coupled channel formalism. Employing the S-V model, the Dirac phenomenological optical potentials are obtained using the Woods-Saxon shape and a 3-parameter Fermi shape. The RIA potentials are obtained by folding a modified relativistic Hartree nuclear density with Lorentz invariant NN amplitudes. The first-order rotational collective model is used to describe the low-lying excited states of the ground-state rotational band (GSRB) of the deformed nucleus, and a vibrational model is used for the low-lying 3$^{-}$ state. A reasonable description of both elastic and inelastic observables is obtained, and the strong coupling to the low-lying 2+ states is shown to improve the agreement with the large-angle data for 800-MeV p +$^{12}$C elastic scattering.

Keywords: Optical potential model, Nucleon-nucleus inelastic scattering, Dirac phenomenology, Coupled channel analyses, Deformed nucleus