Partial wave decomposition of finite-range effective tensor interaction

Abstract : 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 N3LO Skyrme pseudo-potential, 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.
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Submitted on : Wednesday, January 13, 2016 - 7:38:09 AM
Last modification on : Thursday, April 5, 2018 - 6:16:02 PM

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D. Davesne, P. Becker, A. Pastore, J. Navarro. Partial wave decomposition of finite-range effective tensor interaction. Physical Review C, American Physical Society, 2016, 93, pp.064001. ⟨10.1103/PhysRevC.93.064001⟩. ⟨in2p3-01254971⟩

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