Analytical investigation of the mass spectrum of tetraquarks with a relativistic approach

A. Ghasempour; N. Tazimi; M. Monemzadeh

doi:10.1140/epjc/s10052-025-13798-7

EPJ

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 113
https://doi.org/10.1140/epjc/s10052-025-13798-7

Regular Article - Theoretical Physics

Analytical investigation of the mass spectrum of tetraquarks with a relativistic approach

A. Ghasempour, N. Tazimi^a and M. Monemzadeh

Department of Physics, University of Kashan, Kashan, Iran

^a tazimi@kashanu.ac.ir

Received: 13 October 2024
Accepted: 9 January 2025
Published online: 30 January 2025

Abstract

In this paper, we study four-body systems and consider them as diquark–antidiquark. We use the Bethe–Salpeter equation (Schrödinger equation with relativistic kinematics) to calculate the binding energies and the mass of heavy tetraquarks with hidden charm and bottom structures. To solve the Bethe–Salpeter equation, we use the Hellmann potential and the Ansatz method and calculate the mass of tetraquarks X(3.872), Y(3.940), $Z_{cs} (3.985),$ $Z_{cs}(3.985),$ X(4.140), $Z_{b} (10.610),$ $Z_{b}(10.610),$ and $Z_{b} (10.650) .$ $Z_{b}(10.650).$ Our results are in good agreement with theoretical and experimental data.

© The Author(s) 2025

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