Charmonium spectroscopy motivated by general features of pNRQCD

Abstract

Mass spectrum of charmonium is computed in the framework of potential non-relativistic quantum chromodynamics. O(1/m) and O(1/m2) relativistic corrections to the Cornell potential and spin-dependent potential have been added, and is solved numerically. New experimentally observed and modified positive and negative parity states like ψ(4230), ψ(4260), ψ(4360), ψ(4390), ψ(4660), χc1(4140) and χc1(4274) near open-flavor threshold have also been studied. We explain them as admixtures of S-D wave states and P-wave states. Apart from these states, some other states like X(3915), χc1(3872), ψ(3770) and ψ(4160) have been identified as 23P0, 23P1, 13D1 and 23D1 states. Subsequently, the electromagnetic transition widths and γγ, e+e−, light hadron and γγγ decay widths of several states are calculated at various leading orders. All the calculated results are compared with experimental and results from various theoretical models.