Abstract
A shell model description of {sup 52}Ti, using a space of protons in the 1f{sub 7/2} orbit and neutrons in the 2p{sub 3/2}, 1f{sub 5/2}, and 2p{sub 1/2} orbits, is used to determine microscopically an IBM description of this nucleus, via an interpretation of the bosons as nucleon pairs. In the shell model calculation, a simple surface delta interaction is found to give significantly better reproduction of the data on this nucleus than a previously determined interaction optimised for nuclei throughout the shell. The implied IBM structure has the mixed-symmetry 2{sup +} state concentrated in a level at 2.26 MeV, while the two-phonon 2{sup +} state is fragmented over levels at 2.43 MeV and 4-5 MeV. These states do not mix significantly in the lowest eigenstates, in common with a recent phenomenological analysis, although the two-phonon 2{sup +} state mixes strongly with a non-IBM state involving an excited neutron D pair. 18 refs., 3 tabs., 2 figs.
Halse, P;
[1]
Robinson, S J
[2]
- Tennessee Technological Univ., Cookeville, TN (United States). Dept. of Physics
- Melbourne Univ., Parkville, VIC (Australia). School of Physics
Citation Formats
Halse, P, and Robinson, S J.
Shell model - IBM correspondence and IBM interpretation of {sup 52} Ti.
Australia: N. p.,
1992.
Web.
Halse, P, & Robinson, S J.
Shell model - IBM correspondence and IBM interpretation of {sup 52} Ti.
Australia.
Halse, P, and Robinson, S J.
1992.
"Shell model - IBM correspondence and IBM interpretation of {sup 52} Ti."
Australia.
@misc{etde_10144834,
title = {Shell model - IBM correspondence and IBM interpretation of {sup 52} Ti}
author = {Halse, P, and Robinson, S J}
abstractNote = {A shell model description of {sup 52}Ti, using a space of protons in the 1f{sub 7/2} orbit and neutrons in the 2p{sub 3/2}, 1f{sub 5/2}, and 2p{sub 1/2} orbits, is used to determine microscopically an IBM description of this nucleus, via an interpretation of the bosons as nucleon pairs. In the shell model calculation, a simple surface delta interaction is found to give significantly better reproduction of the data on this nucleus than a previously determined interaction optimised for nuclei throughout the shell. The implied IBM structure has the mixed-symmetry 2{sup +} state concentrated in a level at 2.26 MeV, while the two-phonon 2{sup +} state is fragmented over levels at 2.43 MeV and 4-5 MeV. These states do not mix significantly in the lowest eigenstates, in common with a recent phenomenological analysis, although the two-phonon 2{sup +} state mixes strongly with a non-IBM state involving an excited neutron D pair. 18 refs., 3 tabs., 2 figs.}
place = {Australia}
year = {1992}
month = {Dec}
}
title = {Shell model - IBM correspondence and IBM interpretation of {sup 52} Ti}
author = {Halse, P, and Robinson, S J}
abstractNote = {A shell model description of {sup 52}Ti, using a space of protons in the 1f{sub 7/2} orbit and neutrons in the 2p{sub 3/2}, 1f{sub 5/2}, and 2p{sub 1/2} orbits, is used to determine microscopically an IBM description of this nucleus, via an interpretation of the bosons as nucleon pairs. In the shell model calculation, a simple surface delta interaction is found to give significantly better reproduction of the data on this nucleus than a previously determined interaction optimised for nuclei throughout the shell. The implied IBM structure has the mixed-symmetry 2{sup +} state concentrated in a level at 2.26 MeV, while the two-phonon 2{sup +} state is fragmented over levels at 2.43 MeV and 4-5 MeV. These states do not mix significantly in the lowest eigenstates, in common with a recent phenomenological analysis, although the two-phonon 2{sup +} state mixes strongly with a non-IBM state involving an excited neutron D pair. 18 refs., 3 tabs., 2 figs.}
place = {Australia}
year = {1992}
month = {Dec}
}