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By employing the angular momentum projection technique we propose a method toreliably calculate the quantum spectrum of nuclear collective rotation. Themethod utilizes several cranked mean-field states with different rotationalfrequencies and they are superposed in the sense of the configuration mixing orthe generator coordinate method, after performing the projection; the idea wasoriginally suggested by Peierls-Thouless in 1962. It is found that the spectrumas a result of the configuration mixing does not essentially depend on chosensets of cranking frequencies if the number of mean-field states utilized in themixing is larger than a certain small value. We apply this method to threeexamples employing the Gogny D1S effective interaction and show that it isuseful to study high-spin rotational bands by means of the angular momentumprojection method.

Angular momentum projected multi-cranked configuration mixing for reliable calculation of high-spin rotational bands