All-charm tetraquark mass and possible quantum numbers of X(6900)

Abstract

In this work we propose possible quantum numbers of X(6900) and suggest a model for it internal structure that explains its unusually high mass. We solve the Schrödinger Equation with Mathematica 12, first for charmonium spectrum, then for all-charm tetraquark spectrum which is understood as a pair of two-particle states, mesons or diquark-antidiquark states. The obtained candidates for all-charm tetraquark will be separated into contributors to various resonances and structures that are visible in the experiments then an explanation for the prominence of X(6900) will be proposed.