qp formulation of pairing in a single nuclear j-shell

Abstract

We study here a nuclear system consisting of n nucleons in a (2j+1)-fold degenerate shell, interacting through a pure pairing force. On the background of the seniority scheme, we introduce an alternative formulation based on doubly deformed (qp) operators. By mapping onto qp boson space we postulate a qp Hamiltonian to describe the pairing correlations among this system. We have calculated the neutron pair separation energy based on this formulation. A fit to experimental data of Sn isotopes shows a good agreement.

Deformed scalar quantum electrodynamics as a phenomenological model for composite scalar particles

“…We have constructed deformed scalar quantum electrodynamics where the scalar bosons are created and/or annihilated by a generalized Heisenberg algebra and the photons are described in a standard way. Following the suggestion of [17][18][19][20][21][22][23][24][25][26][27], we interpret the ladder operators of a deformed Heisenberg algebra as creating and/or annihilating composite particles.…”

“…The interpretation of deformed Heisenberg algebras as describing phenomenologically composite particles is not a new idea [17][18][19][20][21][22][23][24]. The basic concept is that the deformation parameter of the algebra could incorporate the essential features of the microscopic dynamics of the physical system.…”

“…There has been much work studying these structures and properties. An interpretation of deformed Heisenberg algebras as describing phenomenologically composite particles has been explored in the literature in the last 15 years; see, for example, [17][18][19][20][21][22][23][24]. The basic argument is that the algebra of the creation and annihilation operators representing composite particles (or the step operators of general excitations of many point-like particles) becomes different from the usual Heisenberg algebra due to the internal degrees of freedom of their corresponding point-like particles; see a more detailed discussion, of this point, for example, in [20].…”