E. Disalvo et M. Pallavicini, PREDICTIONS IN THE PSEUDOSCALAR CHANNEL OF CHARMONIUM BY MEANS OF QCDSUM-RULES, Nuclear physics. B, 427(1-2), 1994, pp. 22-40
We use QCD sum rules for predicting the mass of the eta'(c) resonance
and the partial decay width into two gammas of the eta(c) resonance, w
hich are poorly known experimentally. To this end we elaborate two num
erical algorithms. The former one allows us to extract the mass of the
ground state in a given channel of charmonium, if some parameters are
known, and the mass of the first excited state, if the mass of the gr
ound state and the coupling constant g1 of the ground state to the pro
per quark current are known. The algorithm is applied to the vector ch
annel for determining one free parameter which is common to all channe
ls; moreover, closely examining the relation between g1 and the mass o
f the first excited state in that channel suggests a second algorithm
for determining g1. Applying these algorithms to the pseudoscalar chan
nel leads us to predicting m(eta'c) = 3575(-48)+30 MeV and GAMMA(eta(c
) --> gammagamma) = 5585(-635)+490 eV, in good agreement with other pr
edictions and with presently available data.