Y. Matsuda et al., OPEN-CHANNEL EFFECTS ON HEAVY-QUARKONIUM SPECTRA - A PHENOMENOLOGICALSTUDY WITHIN A ONE-OPEN-CHANNEL APPROXIMATION, Few-body systems, 23(1-2), 1997, pp. 1-13
Open-channel effects on charmonium (S-and D-waves) and bottomonium (S-
wave) J(P) = 1(-) spectra are investigated within a one-open-channel a
pproximation. Mass shifts and decay widths of these states just above
the threshold are obtained by taking into account a coupling between c
onfined quarkonium states and decaying states of the open channel. The
final-state interaction (FSI) between the decaying meson and antimeso
n plays a very important role in producing a reasonable magnitude of c
oupling; the FSI provides the open-channel poles (R-1, R-2) at the app
ropriate positions on the complex energy plane. The result is found to
be independent of the detailed form of the transition potential and t
he final-state interaction.