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UNIVERSITY OF BUCHAREST FACULTY OF PHYSICS Guest 2024-11-22 1:53 |
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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)
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