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.
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