STUDIES OF PHASE-SHIFT EQUIVALENT LOW-MOMENTUM NUCLEON-NUCLEON POTENTIALS

摘要

Motivated by the renormalization group (RG) and effective field theory (EFT) approach, a low-momentum NN interaction Vlow–k has been derived by integrating out the high momentum components of modern NN potential models VNN. Although the various VNN models are significantly different, the Vlow–k’s extracted from them are nearly identical to each other when a decimation momentum Λ ≈ 2fm?1 or smaller is employed. Starting from the Lee-Suzuki (or folded diagram) non-Hermitian low momentum NN interactions, a family of phase-shift equivalent Vlow–k’s are obtained by way of a Schmidt orthogonalization method. We have found that Vlow–k can be very accurately represented by a counter term expressed as a low order momentum expansion of the form ∑Cnkn.