Finite-range separable pairing interaction within new N{sup 3}LO DFT approach

Journal Article · Fri Oct 28 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3628444· OSTI ID:21612115

Vesely, P; Michel, N; Toivanen, J ^[1]; Dobaczewski, J ^[2]

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1. Department of Physics, P.O. Box 35 (YFL), University of Jyvaeskylae, FI-40014 (Finland)
2. Institute of Theoretical Physics, University of Warsaw, ul. Hoza 69, 00-681 Warsaw (Poland)

For over four decades, the Skyrme functional within various parametrizations has been used to calculate nuclear properties. In the last few years there was a number of attempts to improve its performance and introduce generalized forms. In particular, the most general phenomenological quasi-local energy density functional, which contains all combinations of density, spin-density, and their derivatives up to the sixth order (N{sup 3}LO), was proposed in reference [1]. Since in the phenomenological functional approaches the particle-particle (pp) interaction channel is treated independently from the particle-hole (ph) channel, there remains a question of what pairing interaction is suitable to use within the N{sup 3}LO energy functional. In our study, we use the separable, finite-range, translationally invariant form given in [2], which we generalize to the arbitrary angular momentum channel. We discuss the application of this pairing interaction within the N{sup 3}LO energy functional.

• OSTI ID: 21612115
• Journal Information: AIP Conference Proceedings, Vol. 1377, Issue 1; Conference: FINUSTAR 3 Conference on frontiers in nuclear structure, astrophysics, and reactions, Rhodes (Greece), 23-27 Aug 2010; Other Information: DOI: 10.1063/1.3628444; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ENERGY DENSITY
NUCLEAR MATTER
NUCLEAR PROPERTIES
NUCLEAR REACTIONS
NUCLEAR STRUCTURE
PAIRING INTERACTIONS
PARTICLE-HOLE MODEL
PERFORMANCE
RENORMALIZATION
SCATTERING
SKYRME POTENTIAL
SPIN
SYMMETRY
ANGULAR MOMENTUM
INTERACTIONS
MATHEMATICAL MODELS
MATTER
NUCLEAR MODELS
NUCLEON-NUCLEON POTENTIAL
PARTICLE PROPERTIES
POTENTIALS