Counting pairs in $^{44}$Ti with various interactions
| dc.creator | Zamick, L. | |
| dc.creator | de Guerra, E. Moya | |
| dc.creator | Sarriguren, P. | |
| dc.creator | Raduta, A. A. | |
| dc.creator | Escuderos, A. | |
| dc.date | 2003-12-18 | |
| dc.date.accessioned | 2026-07-07T05:40:05Z | |
| dc.date.available | 2026-07-07T05:40:05Z | |
| dc.description | We count the number of pairs in the single $j-$shell model of $^{44}$Ti for various interactions. For a state of total angular momentum $I$, the wave function can be written as $Ψ=\sum_{J_P J_N} D(J_P J_N) [(j^2)_{J_P}(j^2)_{J_N}]_I$, where $D(J_P J_N)$ is the probability amplitude that the protons couple to $J_P$ and the neutrons to $J_N$. For I=0 there are three states with ($I=0, T=0$) and one with ($I=0, T=2$). The latter is the double analog of $^{44}$Ca. In that case (T=2), the magnitude of $D(JJ)$ is the same as that of a corresponding two particle fractional parentage coefficient. In counting the number of pairs with an even angular momentum $J_A$ we find a new relationship obtained by diagonalizing a unitary nine-j symbol. We are also able to get results for the 'no-interaction' case for T=0 states, for which it is found that there are less ($J=1, T=0$) pairs than on the average. Relative to this 'no-interaction case' we find for the most realistic interaction used that there is an enhancement of pairs with angular momentum $J_A=0,2,1$ and 7, and a depletion for the others. Also considered are interactions in which only the ($J=0, T=1$) pair state is at lower energy, only the ($J=1, T=0$) pair state is lowered and where both are equally lowered. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0312077 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0312077 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/82152 | |
| dc.subject | Nuclear Theory | |
| dc.title | Counting pairs in $^{44}$Ti with various interactions | |
| dc.type | text |