Doubly-Magic Sn-100 Nucleus with Delta Excitation under Compression

作者：Abu Sei'leek Mohammed Hassen Eid^*

来源：Journal of the Physical Society of Japan, 2011, 80(10): 104201.

DOI：10.1143/JPSJ.80.104201

• nuclear structure
• compressed finite nuclei
• Delta-resonance
• Hartree-Fock method
• single particle energy

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 Sn-100 in a effective baryon-baryon interaction. As the nucleus is compressed, the binding energy increases in a linear form approximately. The increase in binding energy is less in large model space systems. The gap between binding energy of only the nucleon and nucleon + Delta is reduced by increasing the model space. The number of Delta's increases as the model space decreases. It is found that as the nucleus is compressed to about 17 times the ordinary nuclear density, the Delta component is sharply increased to about 17.8% of all baryons in the system. This result is consistent with the values extracted from relativistic heavy-ion collisions. The number of Delta's increases as the radius decreases under compression. The single particle energy levels calculated and their behaviors under compression are examined too. A good agreement between results with effective Hamiltonian and the phenomenological shell model for the low lying single-particle spectra is obtained. The current results suggest that the radial density distribution is reduced at large model space for same radius. The peak of Delta radial density distribution is reduced as the model space increases for the same r(rms). 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.

• 出版日期2011-10