Mass spectra of hidden heavy-flavor tetraquarks with two and four heavy quarks

Abstract Inspired by the observation of the X(6900) by LHCb and the X(6600) (with mass $$6552\pm 10\pm 12$$ 6552 ± 10 ± 12  MeV) recently by CMS and ATLAS experiments of the LHC in the di- $$J/\varPsi $$ J / Ψ invariant mass spectrum, we systemically study masses of all ground-state configurations o...

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Main Authors: Ting-Qi Yan, Wen-Xuan Zhang, Duojie Jia
Format: Article
Language:English
Published: SpringerOpen 2023-09-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-11956-3
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author Ting-Qi Yan
Wen-Xuan Zhang
Duojie Jia
author_facet Ting-Qi Yan
Wen-Xuan Zhang
Duojie Jia
author_sort Ting-Qi Yan
collection DOAJ
description Abstract Inspired by the observation of the X(6900) by LHCb and the X(6600) (with mass $$6552\pm 10\pm 12$$ 6552 ± 10 ± 12  MeV) recently by CMS and ATLAS experiments of the LHC in the di- $$J/\varPsi $$ J / Ψ invariant mass spectrum, we systemically study masses of all ground-state configurations of the hidden heavy-flavor tetraquarks $$q_{1}Q_{2}{\bar{q}}_{3}{\bar{Q}}_{4}$$ q 1 Q 2 q ¯ 3 Q ¯ 4 and $$Q_{1}Q_{2}{\bar{Q}}_{3}{\bar{Q}}_{4}$$ Q 1 Q 2 Q ¯ 3 Q ¯ 4 $$(Q=c,b$$ ( Q = c , b ; $$q=u,d,s)$$ q = u , d , s ) containing two and four heavy quarks in the MIT bag model with chromomagnetic interaction and enhanced binding energy. Considering color-spin mixing due to chromomagnetic interaction, our mass computation indicates that the observed X(6600) is likely to be the $$0^{++}$$ 0 + + ground states of hidden-charm tetraquark $$cc{\bar{c}}{\bar{c}}$$ c c c ¯ c ¯ with computed masses 6572 MeV, which has a $$0^{++}$$ 0 + + color partner around 6469 MeV. The fully bottom system of tetraquark $$bb{\bar{b}}{\bar{b}}$$ b b b ¯ b ¯ has masses of 19685 MeV and 19717 MeV for the $$0^{++}$$ 0 + + ground states. Further calculation of the tetraquark systems $$sc{\bar{s}}{\bar{c}}$$ s c s ¯ c ¯ , $$sb{\bar{s}}{\bar{b}}$$ s b s ¯ b ¯ , $$cb{\bar{c}}{\bar{b}}$$ c b c ¯ b ¯ , $$nc{\bar{n}}{\bar{c}}$$ n c n ¯ c ¯ and $$nb{\bar{n}}{\bar{b}}$$ n b n ¯ b ¯ shows that $$Z_{c}(4200)$$ Z c ( 4200 ) is a $$1^{+-}$$ 1 + - state of tetraquark $$nc{\bar{n}}{\bar{c}}$$ n c n ¯ c ¯ and Z(4020) is a $$1^{+-}$$ 1 + - state of tetraquark $$nc{\bar{n}}{\bar{c}}$$ n c n ¯ c ¯ with a mass of 4079 MeV. All of these tetraquarks are above their lowest thresholds of two mesons and unstable against the strong decays.
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spelling doaj.art-fd0a4a58b5c449ffa6eb7ae0ba2f6ea82023-10-29T12:34:44ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-09-0183911210.1140/epjc/s10052-023-11956-3Mass spectra of hidden heavy-flavor tetraquarks with two and four heavy quarksTing-Qi Yan0Wen-Xuan Zhang1Duojie Jia2Institute of Theoretical Physics, College of Physics and Electronic Engineering, Northwest Normal UniversityInstitute of Theoretical Physics, College of Physics and Electronic Engineering, Northwest Normal UniversityInstitute of Theoretical Physics, College of Physics and Electronic Engineering, Northwest Normal UniversityAbstract Inspired by the observation of the X(6900) by LHCb and the X(6600) (with mass $$6552\pm 10\pm 12$$ 6552 ± 10 ± 12  MeV) recently by CMS and ATLAS experiments of the LHC in the di- $$J/\varPsi $$ J / Ψ invariant mass spectrum, we systemically study masses of all ground-state configurations of the hidden heavy-flavor tetraquarks $$q_{1}Q_{2}{\bar{q}}_{3}{\bar{Q}}_{4}$$ q 1 Q 2 q ¯ 3 Q ¯ 4 and $$Q_{1}Q_{2}{\bar{Q}}_{3}{\bar{Q}}_{4}$$ Q 1 Q 2 Q ¯ 3 Q ¯ 4 $$(Q=c,b$$ ( Q = c , b ; $$q=u,d,s)$$ q = u , d , s ) containing two and four heavy quarks in the MIT bag model with chromomagnetic interaction and enhanced binding energy. Considering color-spin mixing due to chromomagnetic interaction, our mass computation indicates that the observed X(6600) is likely to be the $$0^{++}$$ 0 + + ground states of hidden-charm tetraquark $$cc{\bar{c}}{\bar{c}}$$ c c c ¯ c ¯ with computed masses 6572 MeV, which has a $$0^{++}$$ 0 + + color partner around 6469 MeV. The fully bottom system of tetraquark $$bb{\bar{b}}{\bar{b}}$$ b b b ¯ b ¯ has masses of 19685 MeV and 19717 MeV for the $$0^{++}$$ 0 + + ground states. Further calculation of the tetraquark systems $$sc{\bar{s}}{\bar{c}}$$ s c s ¯ c ¯ , $$sb{\bar{s}}{\bar{b}}$$ s b s ¯ b ¯ , $$cb{\bar{c}}{\bar{b}}$$ c b c ¯ b ¯ , $$nc{\bar{n}}{\bar{c}}$$ n c n ¯ c ¯ and $$nb{\bar{n}}{\bar{b}}$$ n b n ¯ b ¯ shows that $$Z_{c}(4200)$$ Z c ( 4200 ) is a $$1^{+-}$$ 1 + - state of tetraquark $$nc{\bar{n}}{\bar{c}}$$ n c n ¯ c ¯ and Z(4020) is a $$1^{+-}$$ 1 + - state of tetraquark $$nc{\bar{n}}{\bar{c}}$$ n c n ¯ c ¯ with a mass of 4079 MeV. All of these tetraquarks are above their lowest thresholds of two mesons and unstable against the strong decays.https://doi.org/10.1140/epjc/s10052-023-11956-3
spellingShingle Ting-Qi Yan
Wen-Xuan Zhang
Duojie Jia
Mass spectra of hidden heavy-flavor tetraquarks with two and four heavy quarks
European Physical Journal C: Particles and Fields
title Mass spectra of hidden heavy-flavor tetraquarks with two and four heavy quarks
title_full Mass spectra of hidden heavy-flavor tetraquarks with two and four heavy quarks
title_fullStr Mass spectra of hidden heavy-flavor tetraquarks with two and four heavy quarks
title_full_unstemmed Mass spectra of hidden heavy-flavor tetraquarks with two and four heavy quarks
title_short Mass spectra of hidden heavy-flavor tetraquarks with two and four heavy quarks
title_sort mass spectra of hidden heavy flavor tetraquarks with two and four heavy quarks
url https://doi.org/10.1140/epjc/s10052-023-11956-3
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