Impact factor of Chinese Physics C is 3.6 in 2023 Impact factor of Chinese Physics C is 3.6 in 2022 2021 Impact Factor 2.944
Advanced Search
×
近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。
本刊再次郑重声明：
（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137
（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。
（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。
                  
《中国物理C》（英文）编辑部
2024年10月30日
Chinese Physics C> 2015, Vol. 39> Issue(8) : 083103 DOI: 10.1088/1674-1137/39/8/083103

Study of the structures of four-quark states in terms of the Born-Oppenheimer approximation

  • In this work, we use the Born-Oppenheimer approximation, where the potential between atoms can be approximated as a function of distance between the two nuclei, to study the four-quark bound states. By this approximation, Heitler and London calculated the spectrum of the hydrogen molecule, which includes two protons (heavy) and two electrons (light). Generally, the observed exotic mesons Zb(10610), Zb(10650), Zc(3900) and Zc(4020) (Zc(4025)) may be molecular states made of two physical mesons and/or diquark-anti-diquark structures. Analogous to the Heitler-London method for calculating the mass of the hydrogen molecule, we investigate whether there exist energy minima for these two structures. Contrary to the hydrogen molecule case where only the spin-triplet possesses an energy minimum, there exist minima for both of these states. This implies that both molecule and tetraquark states can be stable objects. Since they have the same quantum numbers, however, the two states may mix to result in the physical states. A consequence would be that partner exotic states co-existing with Zb(10610), Zb(10650), Zc(3900) and Zc(4020) (Zc(4025)) are predicted and should be experimentally observed.
      PCAS:
  • 加载中

  • References

    [1] Adachi I et al. (Belle collaboration). arXiv:1105.4583 [hep-ex][2] Ablikim M et al. (BESⅢ collaboration). Phys. Rev. Lett., 2013, 110: 252001[3] Ablikim M et al. (BESⅢ collaboration). Phys. Rev. Lett., 2013, 111, 242001[4] Ablikim M et al. (BESⅢ collaboration). arXiv:1308.2760 [hep-ex][5] KE H W, LI X Q, SHI Y L, et al. JHEP, 2012, 1204: 056[6] KE H W, WEI Zheng-Tao, LI Xue-Qian. Eur. Phys. J. C, 2013, 73: 2561[7] Patel S, Shah M, Vinodkumar P C. Eur. Phys. J. A, 2014, 50: 131[8] ZHANG J R. Phys. Rev. D, 2013, 87: 116004[9] SUN Z F, HE J, LIU X et al. Phys. Rev. D, 2011, 84: 054002[10] Cleven M, GUO F K, Hanhart C, Meissner U G. Eur. Phys. J. A, 2011, 47: 120[11] Cleven M, WANG Q, GUO F K et al. Phys. Rev. D, 2013, 87: 074006[12] Maiani L, Piccinini F, Polosa A D, Riquer V. Phys. Rev. D, 2005, 71: 014028[13] Kleiv R T, Steele T G, ZHANG A, Blokland I. Phys. Rev. D, 2013, 87: 125018[14] Born M, Oppenheimer J R. Annalen der Physik, 1927, 389: 457[15] Heitler W, London F. Z. Phys., 1927, 44: 455[16] Braaten E, Langmack C, Smith D H. Phys. Rev. D, 2014, 90: 014044[17] Eichten E, Gottfried K, Kinashita T et al. Phys. Rev. D, 1978, 17: 3090[18] Eichten E, Gottfried K, Kinashita T et al. Phys. Rev. D, 1980, 21: 203[18] PING J L, WANG F, Goldman J T. Nucl. Phys. A, 1999, 657: 95[19] Vijande J, Fernandez F, Valcarce A. J. Phys. G, 2005, 31: 481[20] Weinstein J D, Isgur N. Phys. Rev. D, 1983, 27: 588[21] Vijande J, Fernandez F, Valcarce A, Silvestre-Brac B. Eur. Phys. J. A, 2004, 19: 383[22] Chang C H, PANG H R. Commun. Theor. Phys., 2005, 43: 275-282[23] Faessler A, Lübeck G, Shimizu K. Phys. Rev. D, 1982, 26: 3280-3283[24] Entem D R, Fernandez F. Phys. Rev. C, 2006, 73: 045214[25] Brodsky S J, Hwang D S, Lebed R F. Phys. Rev. Lett., 2014, 113(11): 112001[26] Carlson J, Kogut J B, Pandharipande V R. Phys. Rev. D, 1983, 27: 233[27] Kokoski R, Isgur N. Phys. Rev. D, 1987, 35: 907[28] Kumano S, Pandharipande V R. Phys. Rev. D, 1988, 38: 146[29] YANG M Z. Eur. Phys. J. C, 2012, 72: 1880[31] LIU J B, YANG M Z. JHEP, 2014, 1407: 106[30] Olive K A et al. (Particle Data Group collaboration). Chin. Phys. C, 2014, 38: 090001[31] Weinstein J D, Isgur N. Phys. Rev. D, 1990, 41: 2236[32] Vijande J, Valcarce A. Symmetry, 2009, 1: 155-179[33] Bondar A E, Garmash A, Milstein A I et al. Phys. Rev. D, 2011, 84: 054010[34] Ali A, Hambrock C, WANG W. Phys. Rev. D, 2012, 85: 054011[12103170] Ohkoda S, Yamaguchi Y, Yasui S, Hosaka A. Phys. Rev. D, 2012, 86: 117502[0412098] Maiani L, Piccinini F, Polosa A D, Riquer V. Phys. Rev. D, 2005, 71, 014028[35] HE J, LIU X, SUN Z F, ZHU S L. Eur. Phys. J C, 2013, 73: 2635[36] HE X G, LI X Q, LIU X, ZENG X Q. Eur. Phys. J. C, 2005, 44: 419 [Erratum-ibid. C 44, 459 (2005)][37] YUAN X Q, ZHANG Z Y, YU Y W, SHEN P N. Phys. Rev. C, 1999, 60: 045203[38] SHEN P N, ZHANG Z Y, YU Y W, YUAN X Q, YANG S. J. Phys. G, 1999, 25: 1807

  • Access

    加载中

Get Citation
LIU Xue-Wen, KE Hong-Wei, DING Yi-Bing and LI Xue-Qian. Study of the structures of four-quark states in terms of the Born-Oppenheimer approximation[J]. Chinese Physics C, 2015, 39(8): 083103. doi: 10.1088/1674-1137/39/8/083103
LIU Xue-Wen, KE Hong-Wei, DING Yi-Bing and LI Xue-Qian. Study of the structures of four-quark states in terms of the Born-Oppenheimer approximation[J]. Chinese Physics C, 2015, 39(8): 083103.  doi: 10.1088/1674-1137/39/8/083103 shu
Milestone
Received: 2015-02-06
Revised: 1900-01-01
Article Metric

Article Views(1663)
PDF Downloads(254)
Cited by(0)
Policy on re-use
To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

Study of the structures of four-quark states in terms of the Born-Oppenheimer approximation

    Corresponding author: LIU Xue-Wen,
    Corresponding author: KE Hong-Wei,
    Corresponding author: DING Yi-Bing,
    Corresponding author: LI Xue-Qian,
  • Received Date: 2015-02-06
  • Accepted Date: 1900-01-01
  • Available Online: 2015-08-15

Abstract: In this work, we use the Born-Oppenheimer approximation, where the potential between atoms can be approximated as a function of distance between the two nuclei, to study the four-quark bound states. By this approximation, Heitler and London calculated the spectrum of the hydrogen molecule, which includes two protons (heavy) and two electrons (light). Generally, the observed exotic mesons Zb(10610), Zb(10650), Zc(3900) and Zc(4020) (Zc(4025)) may be molecular states made of two physical mesons and/or diquark-anti-diquark structures. Analogous to the Heitler-London method for calculating the mass of the hydrogen molecule, we investigate whether there exist energy minima for these two structures. Contrary to the hydrogen molecule case where only the spin-triplet possesses an energy minimum, there exist minima for both of these states. This implies that both molecule and tetraquark states can be stable objects. Since they have the same quantum numbers, however, the two states may mix to result in the physical states. A consequence would be that partner exotic states co-existing with Zb(10610), Zb(10650), Zc(3900) and Zc(4020) (Zc(4025)) are predicted and should be experimentally observed.

    HTML

Reference (1)

目录

Link
IOPScience
SCOAP3
arXiv
Chinese Physical Society
Journal information
Introduction
Editorial Board
Others
Subscribe
Contact us
QQ: 1307685413
Tel: +86-010-88235947
Fax: +86-010-88233126
E-mail: cpc@ihep.ac.cn

  • CPC Website

  • IOP Website

  • CPC WeChat

Copyright © Institute of High Energy Physics, Chinese Academy of Sciences, 19B Yuquan Road, Beijing 100049, China 京ICP备05002789号-1

Supported by: Beijing Renhe Information Technology Co. Ltd  E-mail: info@rhhz.net

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return