  The mass spectra of charmonium are investigated using a Coulomb plus linear
(Cornell) potential. Gaussian wave function in position space as well as in
momentum space are employed to calculate the expectation value of potential and
kinetic energy respectively. Various experimental states
($X(4660)(5^{3}S_{1})$, $X(3872)(2^{3}P_{1})$, $X(3900)(2^{1}P_{1})$,
$X(3915)(2^{3}P_{0})$ and $X(4274)(3^{3}P_{1})$ etc.) are assigned as
charmonium states. We also study the Regge trajectories, pseudoscalar and
vector decay constants, the Electric and Magnetic dipole transition rates and
the annihilation decay width for charmonium states.
