2000/02/22 by S. Shelly Sharma, Naresh Sharma, N. K. Sharma · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #nucl-th
paper · pdf · doi:10.1103/physrevc.62.034314
published as Phys.Rev. C62 (2000) 034314 · 8 pages, REVTEX, 3 eps figures
arxiv created 2000/02/22 · openalex publication_date 2000/08/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 \ensuremathΔ, and the chemical potential \ensuremathλ, 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 qBCS and BCS show similar results for gap parameter \ensuremathΔ 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).