Is nuclear matter perturbative with low-momentum interactions?

By Scott Bogner, A. Schwenk, Richard J. Furnstahl, A. Nogga. 2005

146 citations recorded by the source corpus.

Abstract The nonperturbative nature of inter-nucleon interactions is explored by varying the momentum cutoff of a two-nucleon potential. Conventional force models, which have large cutoffs, are nonperturbative because of strong short-range repulsion, the iterated tensor interaction, and the presence of bound or nearly-bound states. But for low-momentum interactions with cutoffs around 2 fm −1 , the softened potential combined with Pauli blocking leads to corrections in nuclear matter in the particle-particle channel that are well converged at second order in the potential, suggesting that perturbation theory can be used in place of Brueckner resummations. Calculations of nuclear matter using the low-momentum two-nucleon force V low k with a corresponding leading-order three-nucleon (3N) force from chiral effective field theory (EFT) exhibit nuclear binding in the Hartree–Fock approximation, and become less cutoff dependent with the inclusion of the dominant second-order contributions. The role of the 3N force is essential to obtain saturation, and the contribution to the total potential energy is compatible with EFT power-counting estimates.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1cde65296795634822dde421114eafccf45cbd53

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

  1. E. Piasetzky
  2. O. Hen
  3. G. Miller
  4. L. Weinstein

Citations in the corpus