Abstract:
A Bose representation is obtained for the Hamiltonian of a microscopic model of a nucleus
with residual pairing forces. This representation is used to show that the collective pairing
excitation branches are weakly coupled to the noncollective branches. A collective Hamiltonian
is constructed that describes pairing excitations. It is shown how one can pass from
the collective Hamiltonian expressed in terms of boson operators to differential equations
that are similar to the equations of the generalized model of a nucleus.
Citation:
R. V. Jolos, “Pairing correlations and collective 0+ states of nuclei. I”, TMF, 6:3 (1971), 403–414; Theoret. and Math. Phys., 6:3 (1971), 291–298
This publication is cited in the following 5 articles:
R. V. Jolos, V. G. Kartavenko, E. A. Kolganova, “Nucleon Isovector Pairing in Nuclei: Microscopic Approach, Boson Representation, and Collective Model”, Phys. Part. Nuclei, 49:2 (2018), 125
Abraham Klein, E. R. Marshalek, “Boson realizations of Lie algebras with applications to nuclear physics”, Rev. Mod. Phys., 63:2 (1991), 375
V. V. Mazepus, “Collective excitations of finite fermi systems in the region of a phase transition”, Theoret. and Math. Phys., 22:3 (1975), 285–289
R. V. Jolos, F. Denau, D. Yansen, “Construction of a collective Hamiltonian in a microscopic model of a nucleus. II”, Theoret. and Math. Phys., 23:3 (1975), 580–586
R. V. Jolos, F. Denau, V. G. Kartavenko, D. Yanssen, “Pairing correlations and collective 0+-states of nuclei. II”, Theoret. and Math. Phys., 14:1 (1973), 51–59
Citation in format AMSBIB
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