A primer on rotational collective enhancements in even-even nuclei

Younes, W

Lawrence Livermore National Laboratory

关键词: Group Theory;    Excitation;    Deformed Nuclei;    Thermodynamics;    Energy-Level Density;   

DOI  :  10.2172/15014474
RP-ID  :  UCRL-TR-205363
RP-ID  :  W-7405-ENG-48
RP-ID  :  15014474

美国|英语

来源: UNT Digital Library

【 摘 要 】

The enhancement of the level density for deformed nuclei relative to the level density in spherical nuclei is calculated. The qualitative behavior of the enhancement factor as a function of excitation energy is explained, and a prescription for a more quantitative description of this behavior is suggested. The results presented here can be found elsewhere in the literature, however the treatments of this topic are dispersed in the literature, are often terse, and require some familiarity with disparate branches of physics. The emphasis of this paper is on step-by-step derivations of the physics and mathematics used in the calculation of level densities and rotational enhancement factors. Pertinent techniques from thermodynamics and group theory are introduced. Appendices provide detailed introductions to the principal mathematical tools.