Self-consistent relativistic random-phase approximation with vacuum polarization

A. Haga, H. Toki, S. Tamenaga, Y. Horikawa, and H. L. Yadav

Phys. Rev. C 72, 034301 – Published 6 September 2005

Abstract

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.

Received 25 April 2005

DOI:https://doi.org/10.1103/PhysRevC.72.034301

Authors & Affiliations

A. Haga^1,2,*, H. Toki^1,†, S. Tamenaga^1,‡, Y. Horikawa^3,§, and H. L. Yadav^4,∥

¹Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki, Osaka 567-0047, Japan
²Department of Engineering Physics, Electronics, and Mechanics, Nagoya Institute of Technology, Gokiso, Nagoya 466-8555, Japan
³Department of Physics, Juntendo University, Inba-gun, Chiba 270-1695, Japan
⁴Physics Department, Rajasthan University, Jaipur-302004, India

^*Electronic address: haga.akihiro@nitech.ac.jp
^†Electronic address: toki@rcnp.osaka-u.ac.jp
^‡Electronic address: stame@rcnp.osaka-u.ac.jp
^§Electronic address: horikawa@sakura.juntendo.ac.jp
^∥Electronic address: hlyadav@sancharnet.in

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Issue

Vol. 72, Iss. 3 — September 2005

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Physical Review C

covering nuclear physics