Abstract:
The nonrelativistic many-body problem with logarithmic two-body potentials is solved
in the hyperspherical formalism. In the diagonal approximation, an analytic expression
is obtained for the eigenvalues of the hyperradial equation, and a mass formula is
constructed. Meson-baryon mass relations are derived.
Citation:
A. A. Khelashvili, V. Yu. Khmaladze, N. D. Chachava, “Many-particle problem with logatithmic potentials and its application to quark bound states”, TMF, 62:1 (1985), 136–143; Theoret. and Math. Phys., 62:1 (1985), 90–95