Relation between the critical spin and angular velocity of a nucleus immediately after backbending
V. G. Nosov, A. M. Kamchatnov
Abstract
In nonspherical nuclei at J = Jc + 0 the relationship between the angular momentum and angular velocity immediately after backbending is the same as in the limiting case J - Jc∞. This indicates that there is a unique type of cancellation of the deviations from a rigid-body moment of inertia in the upper phase J>Jc. An integral relationship is found which expresses this cancellation quantitatively. This formula permits Jc to be calculated for the rotational bands of the even-even nuclei studied and the results are in agreement with those obtained by other methods of locating the Curie point. For the ground state band of W170 the cancellation of the reciprocals of the true and rigid-body moments of inertia can be verified directly. The condition for the stability of the rotation of a nonspherical nucleus is analyzed in the Appendix in close connection with the problem of a reasonable definition of the concept of a variable moment of inertia.
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