Surface-peaked effective mass in the nuclear energy density functional and its influence on single-particle spectra

Journal Article · Thu Apr 15 00:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.81.044314· OSTI ID:21388923

Zalewski, M; Olbratowski, P; Satula, W ^[1]

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1. Institute of Theoretical Physics, University of Warsaw, ul. Hoza 69, 00-681 Warsaw (Poland)

Calculations for infinite nuclear matter with realistic nucleon-nucleon interactions suggest that the isoscalar effective mass of a nucleon at the saturation density m*/m equals 0.8+-0.1. This result is at variance with empirical data on the level density in finite nuclei, which are consistent with m*/mapprox =1. Ma and Wambach suggested that these two contradicting results may be reconciled within a single theoretical framework by assuming a radial-dependent effective mass, peaked at the nuclear surface. The aim of this exploratory work is to investigate this idea within the density functional theory by using a Skyrme-type local functional enriched with new terms, tau(nablarho){sup 2} and tau(drho/dr), where tau and rho denote the kinetic and particle densities, respectively. We show that each of these terms can give rise to a surface peak in the effective mass, but of a limited height. We investigate the influence of the radial profile of the effective mass on the spin-orbit splittings and centroids. In particular, we demonstrate that the tau(drho/dr) term quenches the 1f{sub 5/2}-1f{sub 7/2} splitting in {sup 40}Ca, which is strongly overestimated within conventional Skyrme parametrizations.

• OSTI ID: 21388923
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 81, Issue 4; Other Information: DOI: 10.1103/PhysRevC.81.044314; (c) 2010 The American Physical Society; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CALCIUM 40
COMPUTERIZED SIMULATION
DENSITY
DENSITY FUNCTIONAL METHOD
EFFECTIVE MASS
ENERGY-LEVEL DENSITY
NUCLEAR ENERGY
NUCLEAR MATTER
NUCLEON-NUCLEON INTERACTIONS
NUCLEONS
SATURATION
SKYRME POTENTIAL
SPECTRA
SPIN
SURFACES
ALKALINE EARTH ISOTOPES
ANGULAR MOMENTUM
BARYON-BARYON INTERACTIONS
BARYONS
CALCIUM ISOTOPES
CALCULATION METHODS
ELEMENTARY PARTICLES
ENERGY
EVEN-EVEN NUCLEI
FERMIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
ISOTOPES
LIGHT NUCLEI
MASS
MATTER
NUCLEI
NUCLEON-NUCLEON POTENTIAL
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
POTENTIALS
SIMULATION
STABLE ISOTOPES
VARIATIONAL METHODS