Interrelationship of Isospin and Angular Momentum
| dc.creator | Zamick, L. | |
| dc.creator | Mekjian, A. Z. | |
| dc.creator | Lee, S. J. | |
| dc.date | 2004-02-25 | |
| dc.date | 2005-03-04 | |
| dc.date.accessioned | 2026-07-07T05:40:13Z | |
| dc.date.available | 2026-07-07T05:40:13Z | |
| dc.description | It is noted that the simple interaction in isospin variables $a (1/4 - t(i)\cdot t(j))$, in a single $j$ shell calculation, can also be written with angular momentum variables. For the configuration $(j^2) J_A$ for even $J_A$ the isospin is one; for odd $J_A$ it is zero. Hence the above interaction can also be written as $a (1 - (-1)^{J_A})/2$. For the I=0 state of an even-even Ti isotope with $n$ neutrons, the hamiltonian matrix element of this interaction is $\bra [J'J']_0 |H| [JJ]_0\ket/a = (n+1) δ_{JJ'} - (n+1) (j^n Jj|\} j^{n+1} j) (j^n J'j|\} j^{n+1} j)$. The eigenvalues of this interaction can be found by using the isospin form of the interaction. They are $(n+1)a$ for $T = |N-Z|/2$ and zero for $T = |N-Z|/2 + 2$. One can apply this to some extent to obtain the number of pairs of nucleons with given total angular momentum $J_A$ in a given Ti isotope. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0402089 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0402089 | |
| dc.identifier | J.Korean Phys.Soc. 47 (2005) 18-22 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/82187 | |
| dc.subject | Nuclear Theory | |
| dc.title | Interrelationship of Isospin and Angular Momentum | |
| dc.type | text |