An exactly soluble model four-body problem

Bhatnagar, Shashank ; Mitra, A. N. (1990) An exactly soluble model four-body problem Nuclear Physics A, 508 . pp. 287-292. ISSN 0375-9474

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A model 4 quark problem with spanless but isospinor quarks under SU(2) color harmonic interactions is shown to be exactly soluble for each of the admissible states of I = 0,1,2, respectively, provided that the pairwise interactions are supplemented by suitable 4-body counter-terms (reminiscent of string-like d.o.f.). This bosonic model correctly simulates the color-cum-orbital structure expected of the corresponding 4-fermion problem.

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