"The Effect of Valence Neutrons on Spin-Orbit Splitting "
Asli Kusoglu, Istanbul University
(id #133)
Seminar: NoPoster: Yes
Invited talk: No
The Effect of Valence Neutrons on Spin-Orbit Splitting
A.Kusoglu1, M. Bostan1
(1) Physics Department, Istanbul University, 34134 Istanbul, TURKEY
ABSTRACT: The contribution of the spin-orbit interaction to the mean nuclear potential and the evolution of the energy gaps of closed shells with increasing valence nucleon number and isospin are systematically investigated. Effective single particle energies for the isotopic chains of some even-even closed shell nuclei are calculated. The effective single-particle energies are obtained by Hartree-Fock method utilizing a harmonic oscillator potential. The microscopic effective nucleon-nucleon interaction is assumed as zero-range, central Skyrme type effective force. Z=8, 20, 28 and 50 magic proton nuclei of stability valley and their even-even neighbours are selected and a limited systematic investigation is performed for the isotopic chains of C, O, Si, Ca, Ni, Sr, Sn, Te, and Ce isotopes. The modification of proton spin-orbit partners’ energy splitting of those isotopes is investigated with valance neutron numbers extending to the neutron drip-line. The effect of neutron diffuseness, monopole tensor interaction and core polarization on the modification of spin-orbit partners’ energy spacing is discussed. The effect of increased valance neutron number on proton effective single particle levels is deduced. The calculated spin-orbit splittings are compared with the available experimental closed-shell energy gaps.
A.Kusoglu1, M. Bostan1
(1) Physics Department, Istanbul University, 34134 Istanbul, TURKEY
ABSTRACT: The contribution of the spin-orbit interaction to the mean nuclear potential and the evolution of the energy gaps of closed shells with increasing valence nucleon number and isospin are systematically investigated. Effective single particle energies for the isotopic chains of some even-even closed shell nuclei are calculated. The effective single-particle energies are obtained by Hartree-Fock method utilizing a harmonic oscillator potential. The microscopic effective nucleon-nucleon interaction is assumed as zero-range, central Skyrme type effective force. Z=8, 20, 28 and 50 magic proton nuclei of stability valley and their even-even neighbours are selected and a limited systematic investigation is performed for the isotopic chains of C, O, Si, Ca, Ni, Sr, Sn, Te, and Ce isotopes. The modification of proton spin-orbit partners’ energy splitting of those isotopes is investigated with valance neutron numbers extending to the neutron drip-line. The effect of neutron diffuseness, monopole tensor interaction and core polarization on the modification of spin-orbit partners’ energy spacing is discussed. The effect of increased valance neutron number on proton effective single particle levels is deduced. The calculated spin-orbit splittings are compared with the available experimental closed-shell energy gaps.
