K. Baktybayev, A. Dalelkhankyzy

Al-Farabi Kazakh National University, Almaty, Kazakhstan

Steadily steam-shell model and collective excited spherical isotopes of

It was recently proposed nucleon -pair of shell model [1, 2] with realistic nucleon pairs sd groups as building blocks models. To describe the low- energy collective states of nuclei through a spherical model of a shell of a shell had cut a giant space to simply sd - pair subspace. This idea prompted the success of interacting boson models (IBM), which has successfully described the low excitation states of nuclei as sd - bosons in them. It has been shown that the fermion -pair shell model can be made an exact diagonalization of the Hamiltonian in a truncated space without using the method of displaying half-phenomenological fermion operators in the boson.

In this paper, we applied the nucleon - a shell model steam to even spherical isotopes. At the same time we tried to take into account the effect of splitting the single-particle levels of nucleons. It is known that one-partial term in the Hamiltonian is displayed regardless of the nucleons in the mean field and it prevents the collectivization of nucleons in the nuclear structure.

Were calculated probabilities of electromagnetic spectrum and E2 transitions between states of nuclei The values obtained are compared with experimental data and their analysis, thereby also given fermion IBM rationale for spherical nuclei average atomic mass.

References:

1. Y.A. Luo, I.Q. Chen // Shell model calculation in the S-D subspace. Phys. Rev. C58 (1998) P. 589-592.

2. Y.M. Zhao, N. Yoshinaga, S. Ysmaji, J.Q. Chen, A. Arima // Nucleon-pair approxmaxion of the shell model: Unified formslism for both odd and even systems. Phys. Rev. C62, 014304 (2000).