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Neutron-proton correlations in an exactly solvable model

AuthorsEngel, J.; Pittel, S.; Stoitsov, M.; Vogel, P.; Dukelsky, Jorge
Issue Date1-Apr-1997
PublisherAmerican Physical Society
CitationPhysical Review C - Nuclear Physics 55: 1781-1788 (1997)
AbstractWe examine isovector and isoscalar neutron-proton correlations in an exactly solvable model based on the algebra SO(8). We look particularly closely at Gamow-Teller strength and double β decay, both to isolate the effects of the two kinds of pairing and to test two approximation schemes: the renormalized neutron-proton quasiparticle random phase approximation (QRPA) and generalized BCS theory. When isoscalar pairing correlations become strong enough a phase transition occurs and the dependence of the Gamow-Teller β strength on isospin changes in a dramatic and unfamiliar way, actually increasing as neutrons are added to an N=Z core. Renormalization eliminates the well-known instabilities that plague the QRPA as the phase transition is approached, but only by unnaturally suppressing the isoscalar correlations. Generalized BCS theory, on the other hand, reproduces the Gamow-Teller strength more accurately in the isoscalar phase than in the usual isovector phase, even though its predictions for energies are equally good everywhere. It also mixes T=0 and T=1 pairing, but only on the isoscalar side of the phase transition. ©1997 American Physical Society
Description8 págs.; 11 figs. ; PACS number(s): 21.60.Fw, 21.30.Fe, 23.40.Hc
Publisher version (URL)https://doi.org/10.1103/PhysRevC.55.1781
Identifiersdoi: 10.1103/PhysRevC.55.1781
issn: 0556-2813
Appears in Collections:(CFMAC-IEM) Artículos
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