The number of J=0 pairs in {44,46,48}Ti
| dc.creator | Zamick, L. | |
| dc.creator | Escuderos, A. | |
| dc.creator | Mekjian, A. | |
| dc.date | 2005-01-25 | |
| dc.date.accessioned | 2026-07-07T05:40:52Z | |
| dc.date.available | 2026-07-07T05:40:52Z | |
| dc.description | In the single j-shell, the configuration of an even-even Ti isotope consists of 2 protons and n neutrons. The I=0 wave function can be written in terms of D(J,Jv)'s, which are the probability amplitudes for the 2 protons to couple to J and the n neutrons to couple to Jv (where J stands for the angular momentum and v for the seniority quantum number). There are several states with isospin Tmin=|(N-Z)/2|, but only one with Tmax=Tmin+2. By demanding that the Tmax wave function be orthogonal to the Tmin ones, we obtain the following simple expressions for the number of J=0 np pairs in these Ti isotopes: For T=Tmin, number of pairs(J12=0)=2|D(00)|^2/n For T=Tmax, number of pairs(J12=0)=2n|D(00)|^2=2n(2j+1-n)/(2j+1)(n+1) For 44Ti we have also the results for even J12: number of nn pairs=number of pp pairs=number of np pairs=|D(J12,J12)|^2. | |
| dc.description | Abstract Submitted for the APR05 Meeting of The American Physical Society | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0501063 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0501063 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/82390 | |
| dc.subject | Nuclear Theory | |
| dc.title | The number of J=0 pairs in {44,46,48}Ti | |
| dc.type | text |