Application of the triangulated category to the explanation of fully-charm tetraquark mass

TL;DR

This paper uses advanced mathematical tools from derived category theory to explain the measured mass of fully-charm tetraquarks, providing a novel theoretical approach to understanding complex four-quark states.

Contribution

It introduces a new application of triangulated categories and sheaf theory to model diquarks as solitonic objects, offering a fresh perspective on tetraquark mass explanations.

Findings

Successfully models tetraquark mass using derived categories

Represents diquarks as solitonic sheaf objects

Provides a theoretical framework aligning with experimental data

Abstract

The discovery in July 2020 of fully-charm tetraquark led to the need for its theoretical explanation. For investigation of such complex four-quark formation, the modern mathematical apparatus of the theory of derived categories is used. By representing diquarks as solitonic objects in terms of sheaves, one can explain the measured mass of the broad resonance of fully-charm tetraquarks consisting of di-charmonia.