Low momentum nucleon-nucleon potential and shell model effective interactions

Abstract

A low momentum nucleon-nucleon (NN) potential V-low-k is derived from meson exhange potentials by integrating out the model dependent high momentum modes of V_NN. The smooth and approximately unique V-low-k is used as input for shell model calculations instead of the usual Brueckner G matrix. Such an approach eliminates the nuclear mass dependence of the input interaction one finds in the G matrix approach, allowing the same input interaction to be used in different nuclear regions. Shell model calculations of 18O, 134Te and 135I using the same input V-low-k have been performed. For cut-off momentum Lambda in the vicinity of 2 fm-1, our calculated low-lying spectra for these nuclei are in good agreement with experiments, and are weakly dependent on Lambda.

5 pages, 5 figures

References in corpus (3)

• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Beyond the Shell Model: The Canonical Nuclear Many-Body Problem as an Effective Theory
• Equivalence of model space techniques and the renormalization group for a separable model problem

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