Coupled Channel Mixing Effects and Magnetic Dipole Transitions in Quarkonia. Spin Dependent Bound State Effects in the Radiative Production of Higgs Particle from Upsilon.
In this work charmonium and bottonium states are described as eigenstates of a Hamiltonian that allows the coupling of cc to a pair of charmed mesons (D(')D, F(')F*, etc.), and b(')b to a pair of open beauty mesons (B(')B, B(,s)(')B(,s), etc.). The Cornell mechanism for light quark pair production is assumed. Light quark pair production from both the Coulomb and the linear potential is taken into account. When the Coulomb pair production is included larger mass shifts are found than previously reported. Due to these mass shifts the potential parameters need readjustment to fit the (psi)', (chi)(,c.o.g.) and J/(psi) masses. With the standard readjustment of the one gluon exchange potential, the parameters obtained by fitting the charmonium masses fit the bottonium masses without further readjustment. I present results for masses and mixing amplitudes in bottonium for both sets of potential parameters. Predictions are made for the masses of D states in bottonium. Also calculations are reported for the probabilities for finding charmonium and bottonium states in the two body cc or b(')b sector. Leptonic widths were calculated and found to be sensitive to mixing effects. Ratios of leptonic widths are insensitive to these corrections. Relativistic (v/c)('2) effects are taken into account to estimate some allowed and hindered M1 transitions in charmonium. Results for the following two cases are presented: (a) when the confining part of the potential transforms like a scalar and (b) when the confining part of the potential transforms like the fourth component of a vector. The prediction for (psi)' (--->) (eta)(,c)(gamma) based on the scalar confinement assumption is in disagreement with experiment. On the other hand the prediction for (psi)' (--->) (eta)(,c)(gamma) based on the vector confinement assumption agrees with experiment within error. This discussion of M1 decays neglects the effect of mixing of Q(')Q states. An estimate of the coupled channel mixing corrections to the M1 decays is given. Spin dependent corrections to the decay rates (UPSILON) (--->) (gamma) + H and (UPSILON)' (--->) (gamma) + H, are studied for both a scalar and pseudoscalar Higgs production. Although the rates for Higgs production change drastically due to spin dependent corrections the ratio of the rates is insensitive to these effects.
- Pub Date:
- Physics: Elementary Particles and High Energy