The BCS theory of q-deformed nucleon pairs - qBCS

Details The BCS theory of q-deformed nucleon pairs - qBCS The BCS theory of q-deformed nucleon pairs - qBCS

2000-02-22

arxiv.org/abs/nucl-th/0002049v1

Phys.Rev. C62 (2000) 034314

Physics

Nuclear Physics

Nuclear Theory

8 pages, REVTEX, 3 eps figures

Scientific paper

10.1103/PhysRevC.62.034314

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).

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