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arXiv:nucl-th/0106064·v1·Nuclear Theory

Restoration of broken symmetries in Self-Consistent RPA

A. Rabhi🇹🇳 · P. Schuck🇫🇷 · R. Bennaceur🇹🇳 · G. Chanfray🇫🇷 · J. Dukelsky🇪🇸

Abstract

It is shown that the Self-Consistent RPA (SCRPA) approach allows in a very natural way to restore symmetries, spontaneously broken on the mean field level. This is achieved via the introduction of a second Lagrange multiplier which constrains the variance of the symmetry operator to zero. This important feature of SCRPA, here pointed out for the first time, is illustrated employing a simplified model of the nuclear superfluidity.

Comments: 6 pages, submitted to Phys. Rev. C

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