Topics Concerning the Quadrupole-Quadrupole Interaction
| dc.creator | Fayache, M. S. | |
| dc.creator | Sharon, Y. Y. | |
| dc.creator | Zamick, L. | |
| dc.date | 1996-09-25 | |
| dc.date.accessioned | 2026-07-07T05:41:47Z | |
| dc.date.available | 2026-07-07T05:41:47Z | |
| dc.description | We address some properties of the quadrupole-quadrupole ($Q \cdot Q$) interaction in nuclear studies. We first consider how to restore $SU(3)$ symmetry even though we use only coordinate and not momentum terms. Using the Hamiltonian $H=\sum_i (p^2/2m + m/2 ω^2 r_i^2) -χ\sum_{i < j}Q(i) \cdot Q(j) - χ/2 \sum_i Q(i) \cdot Q(i)$ with $Q_μ=r^2 Y_{2,μ}$, we find that only 2/3 of the single-particle splitting ($ε_{0d}-ε_{1s}$) comes from the diagonal term of $Q \cdot Q$ -the remaining 1/3 comes from the interaction of the valence nucleus with the core. On another topic, a previously derived relation, using $Q \cdot Q$, between isovector orbital $B(M1)$ (scissors mode) and the ``difference'' ($B(E2, isoscalar)-B(E2, isovector)$) is discussed. It is shown that one needs the isovector $B(E2)$ in order that one get the correct limit as one goes to nuclei sufficiently far from stability so that one subshell (neutron or proton) is closed. | |
| dc.description | 8 pages, revtex, no figures | |
| dc.identifier | https://arxiv.org/abs/nucl-th/9609057 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/9609057 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/82704 | |
| dc.subject | Nuclear Theory | |
| dc.title | Topics Concerning the Quadrupole-Quadrupole Interaction | |
| dc.type | text |