Relativistic analysis of nuclear ground state

densities at 135 to 200 MeV

M A SUHAIL¹, N NEELOFER² and Z A KHAN³

¹Department of Applied Physics, Z.H. College of Engineering and Technology,

Aligarh Muslim University, Aligarh 202 002, India

²Physics Section, Women's College, Aligarh Muslim University,

Aligarh 202 002, India

³Department of Physics, Aligarh Muslim University, Aligarh 202 002, India

E-mail: masuhail@lycos.com; nneelofer@lycos.com; zak{\_}atif@yahoo.com

Abstract. A relativistic analysis of p + $^{40}$Ca elastic scattering with

different nuclear ground state target densities at 135 to 200 MeV is

presented in this paper. It is found that the IGO densities are more

consistent in reproducing the data over the energy range considered here.

The reproduction of spin-rotation-function data with the simultaneous

fitting of differential cross-section and analyzing power, and the

appearance of wine-bottle-bottom shaped ${\rm Re}U_{\rm eff}(r)$ in the transition

energy region, sensitively depends on the input nuclear ground state

densities and are not solely the relativistic characteristic signatures. We

also found that the wine-bottle-bottom shaped ${\rm Re}U_{\rm eff}(r)$ is preferred by

the spin observables in the transition energy region (i.e. 181 MeV to 200

MeV).

Keywords. Dirac phenomenology.

PACS Nos 24.10.Ht; 25.40.Cm