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Abstract
We present a new two-body finite-range and momentum-dependent but density-independent effective interaction, which can be interpreted as a regularized zero-range force. We show that no three-body or density-dependent terms are needed for a correct description of saturation properties in infinite matter, that is, on the level of low-energy density functional, the physical three-body effects can be efficiently absorbed in effective two-body terms. The new interaction gives a very satisfying equation of state of nuclear matter and opens up extremely interesting perspectives for the mean-field and beyond-mean-field descriptions of atomic nuclei.
Highlights
R1 +r2 2 δ(r1 − r2), due to the appearance of spin instabilities [4,5,6]. It was employed as a convenient way of simulating the density dependence of the effective interaction rather than a three-body force [7]
Several years ago it was identified that effective interactions that depend on non-integer powers of density do not allow for beyond-mean-field calculations that use standard techniques of symmetry restoration or Generator Coordinate Method [8, 9]
This observation triggered efforts to define a new generation of effective interactions without density dependence
Summary
R1 +r2 2 δ(r1 − r2), due to the appearance of spin instabilities [4,5,6]. Later, it was employed as a convenient way of simulating the density dependence of the effective interaction rather than a three-body force [7]. It was employed as a convenient way of simulating the density dependence of the effective interaction rather than a three-body force [7]. For Skyrme and Gogny effective interactions, the density dependent term appears to play a determinant role, especially in generating the mechanism of saturation.
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