The BCS theory of q-deformed nucleon pairs - qBCS

Abstract

We construct a coherent state of q-deformed zero coupled nucleon pairs distributed in several single-particle orbits. Using a variational approach, the set of equations of qBCS theory, to be solved self consistently for occupation probabilities, gap parameter Delta, and the chemical potential lambda, is obtained. Results for valence nucleons in nuclear degenerate sdg major shell show that the strongly coupled zero angular momentum nucleon pairs can be substituted by weakly coupled q-deformed zero angular momentum nucleon pairs. A study of Sn isotopes reveals a well defined universe of (G, q) values, for which qBCS converges. While the qBCS and BCS show similar results for Gap parameter Delta in Sn isotopes, the ground state energies are lower in qBCS. The pairing correlations in N nucleon system, increase with increasing q (for q real).

8 pages, REVTEX, 3 eps figures

References in corpus (1)

• Quantum Groups and Their Applications in Nuclear Physics

Cited by in corpus (7)

• An Algebraic Pairing Model with Sp(4) Symmetry and its Deformation
• Deformations of the fermion realization of the sp(4) algebra and its subalgebras
• $q$-deformed Fermion in Many-Particle Systems and Its Application to BCS Theory
• Schrödinger cat state of trapped ions in harmonic and anharmonic oscillator traps
• Thermostatistics of a q-deformed Relativistic Ideal Fermi Gas
• Generalized q-Deformed Symplectic sp(4) Algebra for Multi-shell Applications
• Finite Temperature Behaviors of q-deformed Fermi Gases