Delta excitation calculation studies in the ground state of the compressed finite heavy doubly-magic nucleus ^{100}Sn

Abstract

The energies and matter densities of finite nuclei under radial compression are investigated by using a constrained Hartree-Fock method with the \Delta degree of freedom included. The results are presented for the doubly-magic nucleus ^{100}Sn in an effective baryon-baryon interaction. It is found that as the nucleus is compressed to about three time of the ordinary nuclear density, the \Delta component is sharply increased to about 17% of all baryons in the system. This result is consistent with the values extracted from relativistic heavy-ion collisions. The single particle energy levels calculated and their behaviors under compression examined too. A good agreement between results with effective Hamiltonian and the phenomenological shell model for the low lying single-particle spectra obtained. A considerable reduction in compressibility for the nucleus, and softening of the equation of state with the inclusion of the \Delta 's in the nuclear dynamics are suggested by the results.