UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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Conference: Bucharest University Faculty of Physics 2001 Meeting


Section: Nuclear and Elementary Particles Physics


Title:
Collective and single-particle states in medium mass vibrational nuclei


Authors:
G. Suliman


Affiliation:
Faculty of Physics,4th academic year, Applied Nuclear Physics Department

supervised by Dr. Gh. Cata-Danil, IFIN-HH, Department of Nuclear Physics, Bucharest, Romania


E-mail


Keywords:


Abstract:
In this paper we aim to understand the low lying nuclear excitations in the vibrational odd-A nuclei. The particle-core coupling model has been applied to nuclei whose structure can be approximated by a nucleon coupled to a collective vibrator(even-even core).In this case, the nucleon-core interaction potential contains, besides the central term, a term representing the interaction of the odd nucleon with the vibrations of the core. In describing the collective core we use the most general form of vibrational Hamiltonian, and by introducing the phonons creation and annihilation operators we can write the total Hamiltonian of the model as a sum between the single-particle Hamiltonian, the collective Hamiltonian and the interaction Hamiltonian. In order to perform the numerical calculations we adapted a computer code which diagonalizes the Hamiltonian considering only the quadrupole and octupole phonons.The coupling strength between the single particle levels and the phonons was chosen in order to obtain a good description of the experimental energy spectrum.Further on, the dipole magnetic moments, the quadrupole electric moments and the reduced transition probabilities have been calculated. A good description of experimental data was obtained for odd-A Sb nuclei. In the near future we plan to run experiments guided by the predictions of the present calculations. References: 1. Heyde, K.:The Nuclear Shell Model (1994) 2. Bohr,A.,Mottelson,B.:Nuclear Structure, Vol. 2 (1975)