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Effects of isospin mixing in the A=32 quintet
For the A=32 T=2 quintet we provide a unified theoretical description for
three related aspects of isospin mixing: the necessity of more than three terms
in the isobaric mass multiplet equation, isospin-forbidden proton decay, and a
correction to the allowed Fermi beta decay. We demonstrate for the first time
that all three effects observed in experiment can be traced to a common origin
related to isospin mixing of the T=2 states with T=1 states
Renormalized interactions with a realistic single particle basis
Neutron-rich isotopes in the sdpf space with Z < 15 require modifications to
derived effective interactions to agree with experimental data away from
stability. A quantitative justification is given for these modifications due to
the weakly bound nature of model space orbits via a procedure using realistic
radial wavefunctions and realistic NN interactions. The long tail of the radial
wavefunction for loosely bound single particle orbits causes a reduction in the
size of matrix elements involving those orbits, most notably for pairing matrix
elements, resulting in a more condensed level spacing in shell model
calculations. Example calculations are shown for 36Si and 38Si.Comment: 6 page
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