JINR Publishing Department: Physics of Elementary Particles and Atomic Nuclei (PEPAN)

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NOVEL APPLICATIONS OF GROUP THEORY IN NUCLEAR PHYSICS

J. P. Draayer ^a, J. G. Hirsch ^b, G. Popa ^c, Feng Pan ^a,d,
G. Stoitcheva ^a, A. I. Georgieva ^e, K. D. Sviratcheva ^a

^a Louisiana State University, Department of Physics and Astronomy, Baton Rouge, Louisiana, USA
^b Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Mexico
^c Department of Physics, Rochester Institute of Technology, Rochester, New York, USA
^d Department of Physics, Liaoning Normal University, Dalian, China
^e Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria

A general procedure, based on the Bethe ansatz, is proposed for finding algebraic solutions for low-lying J-0 states of 2k nucleons interacting with one another through a T-1 charge independent pairing interaction. Results provided by Richardson are shown to be valid for up to two pairs, k 2; we gave expressions for up to three pairs, k 3. The results shown that a set of highly nonlinear equations must be solved for 3k 3.

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