Interpretation and quality of the tilted axis cranking approximation | Zendy

S. Frauendorf | Zendy; Jie Meng | Zendy

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Interpretation and quality of the tilted axis cranking approximation

Author(s) -

S. Frauendorf,

Jie Meng

Publication year - 1987

Publication title -

zeitschrift für physik a hadrons and nuclei

Language(s) - English

Resource type - Journals

eISSN - 1431-5831

pISSN - 0939-7922

DOI - 10.1007/s002180050179

Subject(s) - spurious relationship , interpretation (philosophy) , principal axis theorem , quality (philosophy) , physics , excited state , set (abstract data type) , rotor (electric) , frame of reference , computational physics , mathematics , mathematical analysis , classical mechanics , geometry , atomic physics , computer science , quantum mechanics , statistics , programming language

Comparing with the exact solutions of the model system of one and two particles coupled to an axial rotor, the quality of the semi classical tilted axis cranking approximation is investigated. Extensive comparisons of the energies and M1 and E2 transition probabilities are carried out for the lowest bands. Very good agreement is found, except near band crossings. Various recipes to take into account finite K within the frame of the usual principal axis cranking are included into the comparison. A set of rules is suggested that permits to construct the excited bands from the cranking configurations, avoiding spurious states.

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