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Quadrupole collective variables in the natural Cartan–Weyl basis

S De Baerdemacker, K Heyde and V Hellemans

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The matrix elements of the quadrupole collective variables, emerging from collective nuclear models, are calculated in the natural Cartan–Weyl basis of O(5) which is a subgroup of a covering SU(1, 1) × O(5) structure. Making use of an intermediate set method, explicit expressions of the matrix elements are obtained in a pure algebraic way, fixing the γ-rotational structure of collective quadrupole models.


PACS

21.60.Ev Collective models

21.10.Ky Electromagnetic moments

23.20.Js Multipole matrix elements

21.10.Re Collective levels

02.10.-v Logic, set theory, and algebra

MSC

81V35 Nuclear physics

Subjects

Mathematical physics

Nuclear physics

Dates

Issue 11 (16 March 2007)

Received 3 January 2007

Published 28 February 2007



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