The modified surface delta-interaction model is applied to calculate the energy levels of 16N and 16F) nuclei. The good agreement between theoretical and experimental data is attained for excitation energies. This indicates that the shell model describes properly the structure of these nuclei.

In this work, nuclear shell model was applied using modified surface delta-interaction to calculate, in particle-hole state, the energy levels of isobar nuclei 40 Sc and 40 K. Particles are in the model space (1f 7/2 ) while the holes are found in the model space (1d 3/2 , 1s 1/2 , 1d 5/2 ). The total angular momentum and parity are identified for possible particles and holes in nuclei above. Thus, we have used a theoretical study to find relationship between energy levels and the semiclassical coupling angle θ 1 , 2 at different orbitals within particle-hole configuration. We notice the energy levels seem to follow two universal functions which depend on the semi-classical coupling angles θ 1,2 . We found the theoretical data agree to the experimental data.

No abstract

In this paper, the nuclear shell model SM was applied to study the energy levels of the nucleus the effect of orbit on energy levels was studied,we consider the residual interaction to be modified surface delta interaction MSDI. We have studied the excitation energies of the 68Ni a nucleus, which contain two neutrons outside closed shell of the 66Ni. the computation of eigenvalues of 68Ni is performed in the frame of (1 p1/2 0g9/2) and (1 _p1/2 0g9/2 0d5/2), we search the effect of the orbital 0d5/2 on the energy levels. The energy levels and angular momentum of all possible cases were investigated. Thus, we have worked on a theoretical process to discover the relation between the energy levels and the classical coupling angle ¸a,b at different orbital within neutron - neutron interaction. Accordingly, We have noticed that the energy levels manifest to follow two inclusive functions, which depend on the classical coupling angles, but are not constrained of angular momentum I. In conclusion, we conclude that our results agree with the experimental data.

In the construction of this kind of shell model, we take the residual interaction to be modified surface delta interaction MSDI. We have studied the excitation energies of the 50Ca a nucleus, which contain two neutrons outside closed shell of the 48Ca. Neutrons are in the model space pfpg. The energy levels and angular momentum of all possible cases were investigated. Thereby, we have effectively utilized a theoretical process to find link among the traditional coupling angle and energy levels at different orbital within neutron - neutron interaction. We observe the energy stages appear to follow two overall functions which depend on the classical coupling angles but are unconstrained of angular momentum I. We find out that our results agree with the experimental data.