Low density nuclear matter in effective field theory

Abstract

Abstract. The two-and three-nucleon interaction derived in chiral effective field theory is used to obtain the binding energy of nuclear matter for small densities at next-to-leading (NLO) and next-to-next-to-leading orders (N 2 LO). The order N 2 LO is not yet sufficient to push the range of validity of the expansion beyond the empirical Fermi momentum of nuclear matter. A phenomenological extension of the interaction suggests that both effective three-and four-nucleon interactions are required for a description of the bulk properties of nuclear mater.

Accurate nuclear radii and binding energies from a chiral interaction

“…This is a serious shortcoming of current chiral Hamiltonians as it prevents theory from making accurate predictions when extrapolating to higher masses. The problem with the reproduction of nuclear matter saturation properties has been discussed extensively in the literature [26][27][28][29][30][31][32][33][34][35][36][37][38][39], and various solutions have been proposed, ranging from shortrange correlations and Pauli blocking effects to the inclusion of many-body forces. tering [47,48] or from peripheral partial waves in the nucleon-nucleon (N N ) sector [49,50], while the remaining coupling constants (denoted as low-energy constants (LECs)) are adjusted in the N N sector.…”