Heavy tetraquarks in the diquark–antidiquark picture

The homogeneous Lippmann–Schwinger integral equation is solved in momentum space to calculate the masses of heavy tetraquarks with hidden charm and bottom. The tetraquark bound states are studied in the diquark–antidiquark picture as a two-body problem. A regularized form of the diquark–antidiquark...

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Main Authors: M.R. Hadizadeh, A. Khaledi-Nasab
Format: Article
Language:English
Published: Elsevier 2016-02-01
Series:Physics Letters B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269315009284
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author M.R. Hadizadeh
A. Khaledi-Nasab
author_facet M.R. Hadizadeh
A. Khaledi-Nasab
author_sort M.R. Hadizadeh
collection DOAJ
description The homogeneous Lippmann–Schwinger integral equation is solved in momentum space to calculate the masses of heavy tetraquarks with hidden charm and bottom. The tetraquark bound states are studied in the diquark–antidiquark picture as a two-body problem. A regularized form of the diquark–antidiquark potential is used to overcome the singularity of the confining potential at large distances or small momenta. Our numerical results indicate that the relativistic effect leads to a small reduction in the mass of heavy tetraquarks, which is less than 2% for charm and less than 0.2% for bottom tetraquarks. The calculated masses of heavy tetraquarks for 1s, 1p, 2s, 1d and 2p states are in good agreement with other theoretical calculations and experimental data. Our numerical analysis predict the masses of heavy tetraquarks for 3s, 2d and 3p states for the first time, and we are not aware of any other theoretical results or experimental data for these states.
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spelling doaj.art-2708c6d10b1949c1963fb5f40354f06d2022-12-22T01:34:39ZengElsevierPhysics Letters B0370-26931873-24452016-02-01753C81210.1016/j.physletb.2015.11.072Heavy tetraquarks in the diquark–antidiquark pictureM.R. Hadizadeh0A. Khaledi-Nasab1Institute of Nuclear and Particle Physics and Department of Physics and Astronomy, Ohio University, Athens, OH 45701, USADepartment of Physics and Astronomy, Ohio University, Athens, OH 45701, USAThe homogeneous Lippmann–Schwinger integral equation is solved in momentum space to calculate the masses of heavy tetraquarks with hidden charm and bottom. The tetraquark bound states are studied in the diquark–antidiquark picture as a two-body problem. A regularized form of the diquark–antidiquark potential is used to overcome the singularity of the confining potential at large distances or small momenta. Our numerical results indicate that the relativistic effect leads to a small reduction in the mass of heavy tetraquarks, which is less than 2% for charm and less than 0.2% for bottom tetraquarks. The calculated masses of heavy tetraquarks for 1s, 1p, 2s, 1d and 2p states are in good agreement with other theoretical calculations and experimental data. Our numerical analysis predict the masses of heavy tetraquarks for 3s, 2d and 3p states for the first time, and we are not aware of any other theoretical results or experimental data for these states.http://www.sciencedirect.com/science/article/pii/S0370269315009284TetraquarkDiquark–antidiquarkLippmann–Schwinger
spellingShingle M.R. Hadizadeh
A. Khaledi-Nasab
Heavy tetraquarks in the diquark–antidiquark picture
Physics Letters B
Tetraquark
Diquark–antidiquark
Lippmann–Schwinger
title Heavy tetraquarks in the diquark–antidiquark picture
title_full Heavy tetraquarks in the diquark–antidiquark picture
title_fullStr Heavy tetraquarks in the diquark–antidiquark picture
title_full_unstemmed Heavy tetraquarks in the diquark–antidiquark picture
title_short Heavy tetraquarks in the diquark–antidiquark picture
title_sort heavy tetraquarks in the diquark antidiquark picture
topic Tetraquark
Diquark–antidiquark
Lippmann–Schwinger
url http://www.sciencedirect.com/science/article/pii/S0370269315009284
work_keys_str_mv AT mrhadizadeh heavytetraquarksinthediquarkantidiquarkpicture
AT akhaledinasab heavytetraquarksinthediquarkantidiquarkpicture