Relativistic Hartree approach with exact treatment of vacuum polarization for finite nuclei

Journal Article · Wed Dec 01 04:00:00 EST 2004 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.70.064322· OSTI ID:20695820

Haga, Akihiro; Tamenaga, Setsuo; Toki, Hiroshi ^[1]; Horikawa, Yataro ^[2]

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1. Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki, Osaka 567-0047 (Japan)
2. Department of Physics, Juntendo University, Inba-gun, Chiba 270-1695 (Japan)

We study the relativistic Hartree approach with an exact treatment of the vacuum polarization in the Walecka ({sigma}-{omega}) model. The contribution from the vacuum polarization of the nucleon-antinucleon field to the source term of the meson fields is evaluated by performing the energy integrals of the Dirac Green function along the imaginary axis. With the present method of calculating the vacuum polarization in finite system, the total binding energies and charge radii of {sup 16}O and {sup 40}Ca can be reproduced. On the other hand, the level splittings in the single-particle level, in particular the spin-orbit splittings, are not described well because the inclusion of vacuum effect provides a large effective mass with small meson fields. We also show that the derivative expansion of the effective action is fairly useful for the estimation of the vacuum effect.

• OSTI ID: 20695820
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 6 Vol. 70; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ACTION INTEGRAL
BINDING ENERGY
CALCIUM 40
COLLECTIVE MODEL
EFFECTIVE MASS
ENERGY LEVELS
GREEN FUNCTION
HARTREE-FOCK METHOD
L-S COUPLING
NUCLEAR FORCES
NUCLEONS
OXYGEN 16
QUANTUM ELECTRODYNAMICS
RELATIVISTIC RANGE
SIGMA MODEL
SPIN
VACUUM POLARIZATION
WALECKA MODEL