Zaki Ahmad, Ishrat Asghar, Bilal Masud, M. Atif Sultan
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Abstract
In this work, we have calculated the mass spectrum, radiative decays, and strong decays of charmonium (\(c\overline{c}\)) by using the non-relativistic quark potential (NRQP) model. The wave functions are calculated by solving the radial Schrödinger equation numerically, which are further used to compute the radiative decay widths of (\(c\overline{c}\)) states. The \(^3P_0\) model is used to calculate the strong decay widths by using the simple harmonic (SHO) wave functions. The SHO parameter \(\beta \) values for different \(c\overline{c}\) states are calculated by fitting it to the numerical wave functions. We also compare our results with experimental data and other theoretically predicted results. We assign to the charmonium states X(3940), X(3872), X(3862), X(4350) likely quantum numbers of \(\eta _c(3S)\), \(\chi _1(2P)\), \(\chi _0(2P)\) and \(\chi _2(3P)\) states.
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