P-wave spin-spin splitting and meson loops

Details P-wave spin-spin splitting and meson loops P-wave spin-spin splitting and meson loops

2011-08-26

arxiv.org/abs/1108.5259v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, typo corrected. Contribution to the Proceedings of the XIV International Conference on Hadron Spectroscopy (Hadron 20

Scientific paper

In quark potential models the hyperfine splitting of P-wave mesons is zero in the nonrelativistic limit, a prediction strikingly confirmed by experiment in both charmonia and bottomonia. The result, however, ignores the coupling of bare quarkonia to meson-meson pairs. This coupling causes mass shifts among the states and so could potentially spoil the quark model prediction. This turns out not to be the case: in a variety of models the hyperfine splitting remains small despite large mass shifts. This is shown to be a generic feature of models in which the coupling involves the creation of a light quark pair with spin-one and the quark spin wavefunctions are conserved. This talk reports on the results of Phys. Rev. D84, 034021 (2011).

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