Few-nucleon systems and low momentum potentials

ORAL

Abstract

Over the last few years, there has been a noticeable progress in the understanding of the nuclear interaction, in particular in the development of new ``low-momentum'' potentials, as those based on the chiral effective field theory or the renormalization group approach. All these potential models have to be tested primarily in the $A=3,4$ systems. The hyperspherical harmonic (HH) and the correlated hyperspherical harmonic methods (CHH) are powerful techniques for solving $A=3,4$ bound and scattering problems. For example, the long-range Coulomb interaction between protons can be taken into account straightforwardly. Recently, we have extended these methods to treat non-local potentials given in momentum space, as is the case of the new ``low-momentum'' potentials. These potentials are by construction very soft, and therefore the direct application of the HH approach is very convenient for them. In this contribution, several properties of the ${}^3$H and ${}^4$He nuclei, and $N-d$ and $p-{}^3$He scattering observables, as derived from some of the low-momentum potentials, will be presented and discussed.

Authors

  • Michele Viviani

  • Alejandro Kievsky

    INFN-Pisa

  • Laura E. Marcucci

  • Sergio Rosati

    Pisa University