T. Barnes et al., Meson-meson scattering in the quark model: Spin dependence and exotic channels - art. no. 025204, PHYS REV C, 6302(2), 2001, pp. 5204
We apply a quark interchange model to spin-dependent and exotic meson-meson
scattering. The model includes the complete set of standard quark model fo
rces, including one-gluon exchange spin orbit and tensor and scalar confine
ment spin orbit. Scattering amplitudes derived assuming simple harmonic osc
illator (SHO) and Coulomb plus linear plus hyperfine meson wave functions a
re compared. In I = 2 pi rr we find approximate agreement with the S-wave p
hase shift from threshold to 1.5 GeV, where we predict an extremum that is
supported by the data. Near threshold we find a rapid energy dependence tha
t may reconcile theoretical estimates of small scattering lengths with expe
rimental indications of larger ones based on extrapolation of measurements
at moderate k(pi)(2). In pseudoscalar-vector scattering we find that the qu
ark-quark L . S and T forces map onto L . S and T meson-meson interactions,
and the P-wave L . S force is large. Finally we consider scattering in J(P
Cn), exotic channels, and note that some of the, "Deck effect" mechanisms s
uggested as possible nonresonant origins of the pi (1)(1400) signal are not
viable in this model.