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

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 th...

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Main Authors: A. Ghasempour, N. Tazimi, M. Monemzadeh
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13798-7
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author A. Ghasempour
N. Tazimi
M. Monemzadeh
author_facet A. Ghasempour
N. Tazimi
M. Monemzadeh
author_sort A. Ghasempour
collection DOAJ
description 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.
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institution Kabale University
issn 1434-6052
language English
publishDate 2025-01-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-37a0d2c374884914b50e44dc2d6f5dd22025-02-02T12:38:24ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-018511910.1140/epjc/s10052-025-13798-7Analytical investigation of the mass spectrum of tetraquarks with a relativistic approachA. Ghasempour0N. Tazimi1M. Monemzadeh2Department of Physics, University of KashanDepartment of Physics, University of KashanDepartment of Physics, University of KashanAbstract 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.https://doi.org/10.1140/epjc/s10052-025-13798-7
spellingShingle A. Ghasempour
N. Tazimi
M. Monemzadeh
Analytical investigation of the mass spectrum of tetraquarks with a relativistic approach
European Physical Journal C: Particles and Fields
title Analytical investigation of the mass spectrum of tetraquarks with a relativistic approach
title_full Analytical investigation of the mass spectrum of tetraquarks with a relativistic approach
title_fullStr Analytical investigation of the mass spectrum of tetraquarks with a relativistic approach
title_full_unstemmed Analytical investigation of the mass spectrum of tetraquarks with a relativistic approach
title_short Analytical investigation of the mass spectrum of tetraquarks with a relativistic approach
title_sort analytical investigation of the mass spectrum of tetraquarks with a relativistic approach
url https://doi.org/10.1140/epjc/s10052-025-13798-7
work_keys_str_mv AT aghasempour analyticalinvestigationofthemassspectrumoftetraquarkswitharelativisticapproach
AT ntazimi analyticalinvestigationofthemassspectrumoftetraquarkswitharelativisticapproach
AT mmonemzadeh analyticalinvestigationofthemassspectrumoftetraquarkswitharelativisticapproach