Self-consistent relativistic random-phase approximation with vacuum polarization

Journal Article · Thu Sep 01 00:00:00 EDT 2005 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.72.034301· OSTI ID:20698970

Haga, A ^[1]; Toki, H; Tamenaga, S ^[1]; Horikawa, Y ^[2]; Yadav, H L ^[3]

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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)
3. Physics Department, Rajasthan University, Jaipur-302004 (India)

We present a theoretical formulation for the description of nuclear excitations within the framework of a relativistic random-phase approximation whereby the vacuum polarization arising from nucleon-antinucleon fields is duly accounted for. The vacuum contribution to the Lagrangian is explicitly described as extra new terms of interacting mesons by means of the derivative expansion of the effective action. It is shown that the self-consistent calculation yields zero eigenvalue for the spurious isoscalar-dipole state and also conserves the vector-current density.

• OSTI ID: 20698970
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 72, Issue 3; Other Information: DOI: 10.1103/PhysRevC.72.034301; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ACTION INTEGRAL
EIGENVALUES
EXCITATION
LAGRANGIAN FUNCTION
MESONS
NUCLEONS
RANDOM PHASE APPROXIMATION
RELATIVISTIC RANGE
VACUUM POLARIZATION
VECTOR CURRENTS