Possible $$D^{(*)}\bar{D}^{(*)}$$ D ( ∗ ) D ¯ ( ∗ ) and $$B^{(*)}\bar{B}^{(*)}$$ B ( ∗ ) B ¯ ( ∗ ) molecular states in the extended constituent quark models

Abstract The possible neutral $$D^{(*)}\bar{D}^{(*)}$$ D ( ∗ ) D ¯ ( ∗ ) and $$B^{(*)}\bar{B}^{(*)}$$ B ( ∗ ) B ¯ ( ∗ ) molecular states are studied in the framework of the constituent quark models, which is extended by including the s-channel one-gluon exchange. Using different types of quark–quark...

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Main Authors: You-Chang Yang, Zhi-Yun Tan, Jialun Ping, Hong-Shi Zong
Format: Article
Language:English
Published: SpringerOpen 2017-08-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-017-5137-6
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author You-Chang Yang
Zhi-Yun Tan
Jialun Ping
Hong-Shi Zong
author_facet You-Chang Yang
Zhi-Yun Tan
Jialun Ping
Hong-Shi Zong
author_sort You-Chang Yang
collection DOAJ
description Abstract The possible neutral $$D^{(*)}\bar{D}^{(*)}$$ D ( ∗ ) D ¯ ( ∗ ) and $$B^{(*)}\bar{B}^{(*)}$$ B ( ∗ ) B ¯ ( ∗ ) molecular states are studied in the framework of the constituent quark models, which is extended by including the s-channel one-gluon exchange. Using different types of quark–quark potentials, we solve the four-body Schrödinger equation by means of the Gaussian expansion method. The bound states of $$D^{(*)}\bar{D}^{(*)}$$ D ( ∗ ) D ¯ ( ∗ ) with $$J^{PC}=1^{++},2^{++}$$ J P C = 1 + + , 2 + + and $$B^{(*)}\bar{B}^{(*)}$$ B ( ∗ ) B ¯ ( ∗ ) with $$J^{PC}=0^{++},1^{+-},1^{++},2^{++}$$ J P C = 0 + + , 1 + - , 1 + + , 2 + + are obtained. The molecular states $$D^{*}\bar{D}$$ D ∗ D ¯ with $$J^{PC}=1^{++}$$ J P C = 1 + + and $$B^{*}\bar{B}$$ B ∗ B ¯ with $$J^{PC}=1^{+-}$$ J P C = 1 + - are good candidates for X(3872) and $$Z^0_b(10610)$$ Z b 0 ( 10610 ) , respectively. The dependence of the results on the model parameters is also discussed.
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spelling doaj.art-1c759d9913ba42a5bb88822b62fc984d2022-12-22T00:50:30ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-08-017791910.1140/epjc/s10052-017-5137-6Possible $$D^{(*)}\bar{D}^{(*)}$$ D ( ∗ ) D ¯ ( ∗ ) and $$B^{(*)}\bar{B}^{(*)}$$ B ( ∗ ) B ¯ ( ∗ ) molecular states in the extended constituent quark modelsYou-Chang Yang0Zhi-Yun Tan1Jialun Ping2Hong-Shi Zong3Department of Physics, Nanjing UniversitySchool of Physics and Electronic Science, Zunyi Normal UniversityDepartment of Physics, Nanjing Normal UniversityDepartment of Physics, Nanjing UniversityAbstract The possible neutral $$D^{(*)}\bar{D}^{(*)}$$ D ( ∗ ) D ¯ ( ∗ ) and $$B^{(*)}\bar{B}^{(*)}$$ B ( ∗ ) B ¯ ( ∗ ) molecular states are studied in the framework of the constituent quark models, which is extended by including the s-channel one-gluon exchange. Using different types of quark–quark potentials, we solve the four-body Schrödinger equation by means of the Gaussian expansion method. The bound states of $$D^{(*)}\bar{D}^{(*)}$$ D ( ∗ ) D ¯ ( ∗ ) with $$J^{PC}=1^{++},2^{++}$$ J P C = 1 + + , 2 + + and $$B^{(*)}\bar{B}^{(*)}$$ B ( ∗ ) B ¯ ( ∗ ) with $$J^{PC}=0^{++},1^{+-},1^{++},2^{++}$$ J P C = 0 + + , 1 + - , 1 + + , 2 + + are obtained. The molecular states $$D^{*}\bar{D}$$ D ∗ D ¯ with $$J^{PC}=1^{++}$$ J P C = 1 + + and $$B^{*}\bar{B}$$ B ∗ B ¯ with $$J^{PC}=1^{+-}$$ J P C = 1 + - are good candidates for X(3872) and $$Z^0_b(10610)$$ Z b 0 ( 10610 ) , respectively. The dependence of the results on the model parameters is also discussed.http://link.springer.com/article/10.1140/epjc/s10052-017-5137-6
spellingShingle You-Chang Yang
Zhi-Yun Tan
Jialun Ping
Hong-Shi Zong
Possible $$D^{(*)}\bar{D}^{(*)}$$ D ( ∗ ) D ¯ ( ∗ ) and $$B^{(*)}\bar{B}^{(*)}$$ B ( ∗ ) B ¯ ( ∗ ) molecular states in the extended constituent quark models
European Physical Journal C: Particles and Fields
title Possible $$D^{(*)}\bar{D}^{(*)}$$ D ( ∗ ) D ¯ ( ∗ ) and $$B^{(*)}\bar{B}^{(*)}$$ B ( ∗ ) B ¯ ( ∗ ) molecular states in the extended constituent quark models
title_full Possible $$D^{(*)}\bar{D}^{(*)}$$ D ( ∗ ) D ¯ ( ∗ ) and $$B^{(*)}\bar{B}^{(*)}$$ B ( ∗ ) B ¯ ( ∗ ) molecular states in the extended constituent quark models
title_fullStr Possible $$D^{(*)}\bar{D}^{(*)}$$ D ( ∗ ) D ¯ ( ∗ ) and $$B^{(*)}\bar{B}^{(*)}$$ B ( ∗ ) B ¯ ( ∗ ) molecular states in the extended constituent quark models
title_full_unstemmed Possible $$D^{(*)}\bar{D}^{(*)}$$ D ( ∗ ) D ¯ ( ∗ ) and $$B^{(*)}\bar{B}^{(*)}$$ B ( ∗ ) B ¯ ( ∗ ) molecular states in the extended constituent quark models
title_short Possible $$D^{(*)}\bar{D}^{(*)}$$ D ( ∗ ) D ¯ ( ∗ ) and $$B^{(*)}\bar{B}^{(*)}$$ B ( ∗ ) B ¯ ( ∗ ) molecular states in the extended constituent quark models
title_sort possible d bar d d ∗ d ¯ ∗ and b bar b b ∗ b ¯ ∗ molecular states in the extended constituent quark models
url http://link.springer.com/article/10.1140/epjc/s10052-017-5137-6
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AT hongshizong possibledbardddandbbarbbbmolecularstatesintheextendedconstituentquarkmodels