On the description of fermion systems in boson representations
1970; Elsevier BV; Volume: 142; Issue: 2 Linguagem: Inglês
10.1016/0375-9474(70)90538-5
ISSN1873-1554
Autores Tópico(s)Quantum, superfluid, helium dynamics
ResumoTruncation of the boson expansions earlier suggested for the description of collective excitations in doubly even nuclei make it important to start from the best possible boson representation. It is shown that the Tamm-Dankoff boson generally offers a better starting point than does the random phase boson. This is in particular true if the RPA boson is imaginary, which is shown in contrast two earlier assumptions to be the case for a majority of quadrupole-vibrating nuclei. In order to follow the quadrupole phase transition in the boson model the Hamiltonian is carried from the boson form into an expansion in terms of Hermitean variables specifying the mass quadrupole moment and its conjugate momentum.
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