Transition from T=1 Pairing to T=0 Pairing in Rotational States of the N=Z Nucleus ^80Zr

Astronomy and Astrophysics – Astrophysics

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Scientific paper

HFB calculations for the N=Z nucleus ^80Zr give a ground state band with T=1 Cooper pairs and an excited band with T=0 Cooper pairs. The bands cross at spin I ≈ 5 hbar, providing a ``phase transition'' from T=1 pairs for I < 5 hbar to T=0 pairs for I > 5 hbar. There is also a T=0 + T=1 pair band, which forms an envelope to the T=1 pair band and the T=0 pair band. In this band there is a more gradual transition from T=1 pairs at I=0 to T=0 pairs at high spins, with T=0 pairs and T=1 pairs co-existing at intermediate spins. The Coriolis anti-pairing effect breaks the T=1 pairs, but there is no CAP effect for T=0 pairs in which the n and p occupy identical space-spin orbitals. The T=1 pair band has a moment of inertia I(ω) which backbends at spins between 8 hbar and 14 hbar, but the T=0 pair band does not backbend. Both bands have g_9/2 spin alignments. For the T=0 pair band, the dominant angular momentum of a pair is J=5, not J=1 or J=J_max=9 as was anticipated. For a rotating N=Z= even nucleus, T=0 pairing produces a two-fold degeneracy in the canonical orbital occupation probability v^2, although T=1 pairing produces a four-fold degeneracy in v^2.

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