Excitation of the delta-resonance in compressed super heavy neutron-rich doubly magic [formula omitted] nucleus

Abstract

By using constrained spherical Hartree-Fock approximation (CSHF), nuclear system of the super-heavy spherical U126310bh184 nucleus is investigated. CSHF is applied to no-core shell model, with an effective baryon-baryon interaction. Physical properties are affected by delta excitation under compression. It is shown when the △ resonances have occurred, the nucleus becomes more bound. Also, it can be seen that as the compression is continuous, the formation of △ increases. Under compression, the most of increment in energy of the system is gone to △-mass formation. Therefore, this appears to play a role in nuclear compression in subthreshold pion-production in heavy ions collisions. When the △ degree of freedom is created, reduced compressibility has occurred. In a ground state without nuclear compression, it is seen that the U126310bh184 nucleus is formed from the △ particles as the basic component besides nucleons. Also, there is a radial density distribution of the △ particles at the ground state for the U126310bh184 nucleus. If the nucleus was compressed to twenty-four of the ordinary density, then the △ particle would have been sharply increased to about 14.2% of all particles in the nucleus. The single particle spectra are studied under nuclear compression too. An excellent agreement was happened between the calculations and the shell model for the low levels of the single particle energies. Finally, there is a excellent consistency between the effective Hamiltonian and phenomenological shell model results for the lower single particle energy levels.