Nonperturbative hyperfine contribution to the b(1) and h(1) meson masses -art. no. 114010

Because of the nonperturbative contribution to the hyperfine splitting the mass of the n(1)P(1) state is strongly correlated wit the center of gravity M-cog(n(3)P(J)) of the n(3)P(J) multiplet: M(n(1)P(1)) is less than M-cog( n(3)P(J)) by about 40 MeV (20 Mev) for the 1P(2P) state. For b(1)(1235) the agreement with experiment is reached only if a(o)(980) belongs to the 1(3) P(J) multiplet. The predicted mass of b(1)(2(1)P(1)) is approximate to 1620 MeV. For the isoscalar meson a correlation between the mass of h(1) (1170) [h(1)(1380)] and M-cog(1(3)P(J)) composed from light (strange) quarks also takes place.