Graduate Thesis Or Dissertation
 

Application of the schematic model to four-quasiparticle states

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  • The Tamm-Dancoff equation of motion for four BCS quasiparticles is derived. It is solved in the limit of degenerate energy levels using a seperable interaction. The result is then applied to the coupling between collective states with two and four quasiparticles, which corresponds to a coupling between collective states with one and two phonons. A case of special interest involves the coupling of the collective two-quasiparticle state to the collective fourquasiparticle state. This interaction represents the leading-order anharmonic effect in the vibrational motion. Its effect on the energy level diagram and the strength of the crossover transition 2+2 - 0+1 are investigated for ¹⁰⁶Pd, ¹⁰⁸Pd, ¹¹⁰Pd, ⁷⁴Se, ⁷⁶Se and ⁷⁸ se.
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