Abstract
The nuclear saturation mechanism is discussed in terms of two-nucleon and three-nucleon interactions in chiral effective field theory (Ch-EFT), using the framework of lowest-order Brueckner theory. After the Coester band, which is observed in calculating saturation points with various nucleon-nucleon (NN) forces, is revisited using modern NN potentials and their low-momentum equivalent interactions, detailed account of the saturation curve of the Ch-EFT interaction is presented. The three-nucleon force (3NF) is treated by reducing it to an effective two-body interaction by folding the third nucleon degrees of freedom. Uncertainties due to the choice of the 3NF low-energy constants $c_D$ and $c_E$ are discussed. The reduction of the cutoff-energy dependence of the NN potential is explained by demonstrating the effect of the 3NF in the $^1$S$_0$ and $^3$S$_1$ states.
Highlights
It is one of the fundamental problems in nuclear physics to understand saturation properties of atomic nuclei on the basis of the underlying interactions between nucleons
The Coester band of lowest-order Brueckner theory (LOBT) nuclear matter calculations is recapitulated in order to give the basis for the discussion
The NN potential with larger pD, which provides attractive contribution by the tensor correlation in free space, tends to give a shallower saturation curve in nuclear matter due to the suppression of the tensor correlation. This qualitative expectation does not explain why the shift due to the difference of pD moves in the narrow Coester band, it is apparent that we should expect the variation of the saturation point depending on the NN potential used in many-body calculations
Summary
It is one of the fundamental problems in nuclear physics to understand saturation properties of atomic nuclei on the basis of the underlying interactions between nucleons. Sammarruca et al [26] presented results of similar LOBT calculations They discuss cutoff scale dependence and order-by-order convergence of the Ch-EFT interactions on nuclear and neutron matter calculations [27]. Carbone et al [28, 29] have investigated the Ch-EFT 3NF contributions in their self-consistent Green’s function formalism, taking into account a correlated average of the 3NF over the third nucleon All these calculations find the important and desirable effects of the 3NF to improve the description of nuclear saturation properties. Because the tensor interaction is transformed to fit in the low-momentum space, the saturation curve varies with changing the low-momentum scale This variation is due to the elimination of possible correlations in the many-body space, which should be recovered by inducing many-body effective interactions in the restricted space.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
