Leptonic and Digamma decay Properties of S-wave quarkonia states

Understand

Based on Martin like potential, the S-wave masses of quarkonia have been reviewed.

• Resultant wave functions at zero inter quark separation are employed to compute the hyperfine splitting of the nS states and the leptonic and digamma decay widths of $n{^3S_1}$ and $n{^1S_0}$ states of quarkonia respectively.
• Analysis on the level differences of S-wave excited states of quantum mechanical bound systems show a systematic behaviour as n-increases.
• In view of such systematic behaviour expected for quarkonia, we observe that Y(4263) and X(4630) $1^{--}$ states are closer to the 4S and 6S states while $\psi(4415)$ and Z(4430) are closer to the 5S state of $c\bar{c}$ systems.