6533b861fe1ef96bd12c5a6e

RESEARCH PRODUCT

Partial wave decomposition of finite-range effective tensor interaction

Dany DavesneJesús NavarroP. BeckerAlessandro Pastore

subject

PhysicsEquation of state[PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th]Nuclear Theory010308 nuclear & particles physicsNuclear TheoryFOS: Physical sciencesNuclear matter01 natural sciencesPseudopotentialNuclear Theory (nucl-th)Range (mathematics)Classical mechanicsCartesian tensor0103 physical sciencesLimit (mathematics)Tensor010306 general physicsTensor density

description

We perform a detailed analysis of the properties of the finite-range tensor term associated with the Gogny and M3Y effective interactions. In particular, by using a partial-wave decomposition of the equation of state of symmetric nuclear matter, we show how we can extract their tensor parameters directly from microscopic results based on bare nucleon-nucleon interactions. Furthermore, we show that the zero-range limit of both finite-range interactions has the form of the next-to-next-to-next-leading-order (N3LO) Skyrme pseudopotential, which thus constitutes a reliable approximation in the density range relevant for finite nuclei. Finally, we use Brueckner-Hartree-Fock results to fix the tensor parameters for the three effective interactions.

yearjournalcountryeditionlanguage
2016-06-07
10.1103/physrevc.93.064001http://arxiv.org/abs/1601.02956