Abstract
The 4 + analogue resonance ( Γ = 6 keV) excited in the 51V(p, n) 51Cr reaction with 2.34 MeV protons has been studied by adopting the shell model in the continuum approach. The residual neutron-proton interaction has been taken as v 0(1 + bσ π · σ v ) × δ( r π − r v ) where the parameters v 0 and b have been determined by fitting the 52V spectrum and the (d, p) stripping spectroscopic factor on 51V leading to the 1.55 MeV 4 + excited state of 52V. It has been found that such a simple form of the residual interaction is acceptable for 52V only if the unperturbed wave functions are generated with an optical potential having Woods-Saxon form factors and which includes the spin- orbit term, the isospin dependent term, the isospin dependence in the spin-orbit term and the effect of non-locality. The escape width Γ† has been computed with the wave function Φ obtained by operating with the isospin lowering operator T − on 52V★(4 +) state, and also with a more elaborate wave function Φ 0 obtained by diagonalising the Hamiltonian among basis states that have a neutron- hole and a proton-particle in various single particle levels j (coupled to angular momentum zero) with respect to the state 52V★(4 +). Although the difference in the energies of these two states is small, their correlation structures are significantly different so as to yield an escape width for Φ 0 which is about ten times larger than that for Φ.
Published Version
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