Masses of Charmed and Bottom Tetraquarks in the Non-Relativistic Quark Model

Zahra Ghalenovi

doi:10.1142/s2010194518600844

Abstract

Heavy tetraquark states are studied within the diquark-antidiquark picture in the framework of a simple constituent quark model. Considering hyperfine spin and isospin interactions, we predict the masses of the scalar diquarks and of the open and hidden charmed and bottom scalar tetraquarks. Our results indicate the scalar resonances [Formula: see text] and [Formula: see text] have a sizable tetraquark amount in their wave function, while it turns out the scalar state [Formula: see text] should not be considered as being predominately diquark-antidiquark bound states.

Highlights

The masses of heavy tetraquarks as diquark-antidiquark bound states were studied in the presence of spin-spin interactions in Ref. [1, 2] and later in the comprehensive study of Ref. [3]
In this paper we calculate masses of charmed and bottom ground-state scalar tetraquarks using a potential model in the non-relativistic limit
We solve the problem in a two-step procedure: first, we use a quark-quark interaction Hamiltonian in order to obtain the mass of a constituent ‘good diquark’ of the type [q, q ]

Summary

Introduction

The masses of heavy tetraquarks as diquark-antidiquark bound states were studied in the presence of spin-spin interactions in Ref. [1, 2] and later in the comprehensive study of Ref. [3]. The masses of heavy tetraquarks as diquark-antidiquark bound states were studied in the presence of spin-spin interactions in Ref. We regard the diquarks as point-like objects and use a diquark-antidiquark interaction Hamiltonian in order to obtain the tetraquark masses. In both steps we solve the two-body Schrodinger equation by using an Ansatz method. This is an Open Access article published by World Scientific Publishing Company. Further distribution of this work is permitted, provided the original work is properly cited

The model

Diquarks

Heavy scalar tetraquarks

Summary