EFFECT OF SHAPE TRANSFORMATION ACCOMPANIED BY M1 TRANSITIONS ON THE ENERGY WEIGHT SUM RULE

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Mathematical Sciences and Applications E-Notes
Volume:1 Issue:1
EFFECT OF SHAPE TRANSFORMATION ACCOMPANIED BY M1 TRANSITIONS ON THE ENERGY WEIGHT SUM RULE

EFFECT OF SHAPE TRANSFORMATION ACCOMPANIED BY M1 TRANSITIONS ON THE ENERGY WEIGHT SUM RULE

Authors : Mehmet GUNER, Muratsağlam

Pages : 90-101

View : 34 | Download : 15

Publication Date : 2013-06-01

Article Type : Research Paper

Abstract :In the Random Phase Approximation insert ignore into journalissuearticles values(RPA);, using the analyticproperties of the nucleus transition matrix elements and by means of contourintegrals and residue theorem, we obtained an analytic formula for the Energy Weighted Sum Rule insert ignore into journalissuearticles values(EWSR); of the M1 transitions as a function of thedeformation parameters of the excited states of the nucleus. It is shown thatan essential decrease of the experimental M1 transitions rates may be due tothe change of nuclear shape caused by the transitions between diﬀerent energy levels. The latter may be also responsible for the observed quenching ofthe M1 sum rules. The numerical calculations are carried out, and the deformed dependence of the sum rules for the140Ce,154Sm,156Gd and196Pt isanalyzed
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