Eur. Phys. J. A (2007) 32: 139-147
https://doi.org/10.1140/epja/i2007-10369-6

Regular Article - Nuclear Structure and Reactions

Spurious states in extended RPA theories, part II

¹ Kyorin University School of Medicine, Mitaka, 181-8611, Tokyo, Japan
² Université Paris-Sud, Institut de Physique Nucléaire, IN2P3-CNRS, F-91406, Orsay Cedex, France

^* e-mail: tohyama@kyorin-u.ac.jp

Received: 26 February 2007
Accepted: 25 April 2007
Published online: 29 May 2007

Abstract

Using an extended RPA theory (ERPA) which contains the effects of ground-state correlations and preserves hermiticity, conditions that spurious modes have zero-energy solutions in extended RPA theories are investigated from a general point of view. The single and double excitations of translational motion are considered as illustrative examples.