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Phys. Rev. D 64, 114010 (2001) [9 pages]

Nonperturbative hyperfine contribution to the b1 and h1 meson masses

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A. M. Badalian
Institute of Theoretical and Experimental Physics, 117218 Moscow, B. Cheremushkinskaya 25, Russia

B. L. G. Bakker
Department of Physics and Astronomy, Vrije Universiteit, Amsterdam, The Netherlands

Received 17 May 2001; published 7 November 2001

Because of the nonperturbative contribution to the hyperfine splitting the mass of the n1P1 state is strongly correlated with the center of gravity Mcog(n3PJ) of the n3PJ multiplet: M(n1P1) is less than Mcog(n3PJ) by about 40 MeV (20 MeV) for the 1P(2P) state. For b1(1235) the agreement with experiment is reached only if a0(980) belongs to the 13PJ multiplet. The predicted mass of b1(21P1) is 1620MeV. For the isoscalar meson a correlation between the mass of h1(1170) [h1(1380)] and Mcog(13PJ) composed from light (strange) quarks also takes place.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.64.114010
DOI:
10.1103/PhysRevD.64.114010
PACS:
12.38.Lg, 11.10.Jj, 11.15.Bt