Bulg. J. Phys. vol.48 no.5-6 (2021), pp. 411-420

Multiple SO(5) Isovector Pairing and Seniority Sp(2Ω) Multi-j Algebras with Isospin

V.K.B. Kota1, R. Sahu2
1Physical Research Laboratory, Ahmedabad 380 009, India
2National Institute of Science and Technology, Palur Hills, Berhampur-761008, Odisha, India
Abstract. With nucleons occupying several shell model j orbits, the isovector pair creation operator A1μ (creates a two particle state with angular momentum J = 0 and isospin T =1) is no longer unique. Choosing it to be a sum of single-j isovector pair creation operators each with a phase, there will be multiple pair SO(5) algebras with isospin; with r number of j orbits, there will be 2r-1 SO(5) algebras each with a corresponding complementary Sp(2Ω) algebra [2Ω = ∑j(2j + 1)] that gives seniority and reduced isospin quantum numbers. Three applications of multiple SO(5) algebras are presented demonstrating the usefulness of considering SO(5) pairing algebras with general sign factors.

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