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Pairing-plus-quadrupole model and nuclear deformation: A look at the spin-orbit interaction
Institution:1. Department of Mathematics, Indian Institute of Technology, Kharagpur 721 302, India;2. Center for Security, Theory and Algorithmic Research, International Institute of Information Technology, Hyderabad 500 032, India;3. Department of Mathematics, Ch. Charan Singh University, Meerut 250 005, Uttar Pradesh, India;4. Center of Excellence in Information Assurance, King Saud University, Riyadh 11451, Saudi Arabia;5. School of Computer Science, China University of Geosciences, Wuhan 430074, China;6. School of Information Technology and Mathematical Sciences, University of South Australia, Adelaide, SA 5001, Australia;7. Department of Information Systems and Cyber Security, The University of Texas at San Antonio, San Antonio, TX 78249 USA
Abstract:The pairing-plus-quadrupole model, realized in the framework of the Elliott SU(3) scheme, is used to study the combined effects of the quadrupole-quadrupole, pairing, and spin-orbit interactions on ground state shapes of nuclear systems. Relevant measures for nuclear deformation are reviewed. Representation mixing induced by the symmetry-breaking pairing and spin-orbit forces is shown to soften the deformation. The angular momentum dependence of the results is discussed.
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