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

TL;DR

This paper investigates the nature of the X(6900) resonance by modeling all-charm tetraquarks and proposing possible quantum numbers, using Schrödinger equation solutions to explain its high mass and experimental observations.

Contribution

It introduces a model for all-charm tetraquarks, predicts quantum numbers for X(6900), and connects theoretical spectra with experimental structures.

Findings

Proposes quantum numbers for X(6900)

Identifies candidate tetraquark states contributing to observed resonances

Provides a theoretical explanation for the high mass 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 Schr\"odinger 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.