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Foundations of self-consistent particle-rotor models and of self-consistent cranking models
| Content Provider | Semantic Scholar |
|---|---|
| Author | Klein, Abraham |
| Copyright Year | 2000 |
| Abstract | The Kerman-Klein formulation of the equations of motion for a nuclear shell model and its associated variational principle are reviewed briefly. It is then applied to the derivation of the self-consistent particle-rotor model and of the self-consistent cranking model, for both axially symmetric and triaxial nuclei. Two derivations of the particle-rotor model are given. One of these is of a form that lends itself to an expansion of the result in powers of the ratio of single-particle angular momentum to collective angular momentum, that is essential to reach the cranking limit. The derivation also requires a distinct, angular-momentum violating, step. The structure of the result implies the possibility of tilted-axis cranking for the axial case and full three-dimensional cranking for the triaxial one. The final equations remain number conserving. In an appendix, the Kerman-Klein method is developed in more detail, and the outlines of several algorithms for obtaining solutions of the associated non-linear formalism are suggested. Typeset using REVTEX ∗Email: aklein@nucth.physics.upenn.edu |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://cds.cern.ch/record/435617/files/0004051.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/nucl-th/0004051v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Algorithm AngularJS Apache Axis Appendix Foundations Nonlinear system Outlines (document) Power (Psychology) R.O.T.O.R. Semantics (computer science) Variational principle |
| Content Type | Text |
| Resource Type | Article |
