Leptonic and digamma decay properties of S-wave quarkonia states

Based on Martin-like potential, the masses of quarkonia states and their leptonic decay widths have been reviewed. The hyperfine, spin orbit and tensor interactions are employed to compute the spin splitting of the nS states and the fine splittings of the P and D states. The analysis based on the predicted masses and leptonic decay widths clearly indicates that psi(3686) is a mixed state with a 50%-50% admixture of c (c) over bar (2S) and the hybrid c (c) over barg in accordance with the suggestion that resolves the rho - pi puzzle related to psi(2S). And Y(10355) as similar admixture of b (b) over bar (3S) with b (b) over barg in accordance with the resolution of Vogel puzzle related to Y(3S) state. Analyses on the level differences of S-wave excited states of quantum mechanical bound systems show a systematic behavior as n increases. In view of such systematic behavior expected for quarkonia, we observe that Y(4260) and Z(4430) 1(--) states are closer to the 4S and 5S states with leptonic decay widths predicted as 0.65 keV and 0.49 keV, respectively. The c (c) over bar (6S) 1(--) state is predicted to be around 4600 MeV and its leptonic decay width 0.39 keV. The present study also favors other charmonialike states, Gamma(4360) and Y(4660), as admixtures of charmonia S - D states. Similarly we find Y(10865) does not fit either the 5S state or an admixture of S - D states of a b (b) over bar system. We identify Y-b(10888) observed by Belle as the 6S state of bottonia whose leptonic width is predicted as 0.158 keV. Our predicted leptonic width, 0.242 keV of Y(10575; 4S), is in good agreement with the experimental value of 0.272 +/- 0.029 keV. We predict the pure Gamma(5S) state at about 100 MeV lower than 10865 MeV and its leptonic width 0.191 keV. The upsilon state Gamma(11019) seems to be the right candidate for the 7S state, with 0.134 keV as its predicted leptonic width, which is in very good agreement with the experimental value of 0.13 +/- 0.03 keV.