Identifying the structure of near-threshold states from the line shape

  • We revisit the compositeness theorem proposed by Weinberg in an effective field theory (EFT) and explore criteria which are sensitive to the structure of S-wave threshold states. On a general basis, we show that the wave function renormalization constant Z, which is the probability of finding an elementary component in the wave function of a threshold state, can be explicitly introduced in the description of the threshold state. As an application of this EFT method, we describe the near-threshold line shape of the D*0D0 invariant mass spectrum in B→D*0D0K and determine a nonvanishing value of Z. It suggests that the X(3872) as a candidate of the D*0D0 molecule may still contain a small cc core. This elementary component, on the one hand, explains its production in the B meson decay via a short-distance mechanism, and on the other hand, is correlated with the D*0D0 threshold enhancement observed in the D*0D0 invariant mass distributions. Meanwhile, we also show that if Z is non-zero, the near-threshold enhancement of the D*0D0 mass spectrum in the B decay will be driven by the short-distance production mechanism.
      PCAS:
  • 加载中
  • [1] Bondar A et al. (Belle collaboration). Phys. Rev. Lett., 2012,108: 1220012 AblikimMet al. (BES0 collaboration). Phys. Rev. Lett., 2013,110: 2520013 LIU Z Q et al. (Belle collaboration). Phys. Rev. Lett., 2013,110: 2520024 XIAO T, Dobbs S, Tomaradze A et al. Phys. Lett. B, 2013,727: 3665 AblikimMet al. (BES0 collaboration). Phys. Rev. Lett., 2013,111: 2420016 AblikimMet al. (BES0 collaboration). Phys. Rev. Lett., 2014,112: 0220017 Salam A. Nuovo Cim., 1962, 25: 2248 Weinberg S. Phys. Rev., 1963, 130: 7769 Weinberg S. Phys. Rev. B, 1965, 137: 67210 Lurie D, Macfarlane A J. Phys. Rev. B, 1964, 136: 81611 Brambilla N, Eidelman S, Heltsley B K et al. Eur. Phys. J. C,2011, 71: 153412 Choi S K et al. (Belle collaboration). Phys. Rev. Lett., 2003,91: 26200113 Tornqvist N A. Phys. Lett. B, 2004, 590: 20914 Close F E, Page P R. Phys. Lett. B, 2004, 578: 11915 Wong C Y. Phys. Rev. C, 2004, 69: 05520216 Braaten E, Kusunoki M. Phys. Rev. D, 2004, 69: 07400517 Voloshin M B. Phys. Lett. B, 2004, 579: 31618 Swanson E S. Phys. Lett. B, 2004, 588: 18919 Swanson E S. Phys. Lett. B, 2004, 598: 19720 MENG C, GAO Y J, CHAO K T. Phys. Rev. D, 2013, 87:07403521 Suzuki M. Phys. Rev. D, 2005, 72: 11401322 Bignamini C, Grinstein B, Piccinini F et al. Phys. Rev. Lett.,2009, 103: 16200123 Danilkin I V, Simonov Y A. Phys. Rev. Lett., 2010, 105:10200224 Prelovsek S, Leskovec L. Phys. Rev. Lett., 2013, 111: 19200125 WANG P, WANG X G. Phys. Rev. Lett., 2013, 111: 04200226 Baru V, Epelbaum E, Filin A A et al. Phys. Lett. B, 2013, 726:27 Jansen M, Hammer H W, JIA Y. Phys. Rev. D, 2014, 89:01403328 Aaij R et al. (LHCb collaboration). Nucl. Phys. B, 2014, 886:66529 DONG Y, Faessler A, Gutsche T et al. J. Phys. G, 2011, 38:01500130 MENG C, Sanz-Cillero J J, SHI M et al. arXiv:hep-ph/1411.310631 Baru V, Haidenbauer J, Hanhart C et al. Phys. Lett. B, 2004,586: 5332 Kaplan D B, Savage M J, Wise M B. Phys. Lett. B, 1998, 424:39033 Kaplan D B, Savage M J, Wise M B. Nucl. Phys. B, 1998, 534:32934 Cleven M, GUO F K, Hanhart C et al. Eur. Phys. J. A, 2011,47: 12035 Ronchen D, Doring M, HUANG F et al. Eur. Phys. J. A, 2013,49: 4436 Braaten E, LU M. Phys. Rev. D, 2007, 76: 09402837 Braaten E, Stapleton J. Phys. Rev. D, 2010, 81: 01401938 ZHANG O, MENG C, ZHENG H Q. Phys. Lett. B, 2009, 680:45339 Hanhart C, Kalashnikova Y S, Kudryavtsev A E et al. Phys.Rev. D, 2007, 76: 03400740 Kalashnikova Y S, Nefediev A V. Phys. Rev. D, 2009, 80:07400441 Cleven M, WANG Q, GUO F K et al. Phys. Rev. D, 2013, 87:07400642 WANG Q, Hanhart C, ZHAO Q. Phys. Rev. Lett., 2013, 111:13200343 GUO F K, Hanhart C, Mei ner U G et al. Phys. Lett. B, 2013,725: 12744 Fleming S, Kusunoki M, Mehen T et al. Phys. Rev. D, 2007,76: 03400645 Aushev T et al. (Belle collaboration). Phys. Rev. D, 2010, 81:03110346 Aubert B et al. (BaBar collaboration). Phys. Rev. D, 2008, 77:01110247 Beringer J et al. (Particle Data Group collaboration). Phys.Rev. D, 2012, 86: 01000148 Aubert B et al. (BaBar collaboration). Phys. Rev. D, 2008, 77:11110149 Adachi I et al. (Belle collaboration). arXiv:hep-ex/0809.122450 MENG C, HAN H, CHAO K T. arXiv:hep-ph/1304.6710
  • 加载中

Get Citation
CHEN Guo-Ying, HUO Wen-Sheng and ZHAO Qiang. Identifying the structure of near-threshold states from the line shape[J]. Chinese Physics C, 2015, 39(9): 093101. doi: 10.1088/1674-1137/39/9/093101
CHEN Guo-Ying, HUO Wen-Sheng and ZHAO Qiang. Identifying the structure of near-threshold states from the line shape[J]. Chinese Physics C, 2015, 39(9): 093101.  doi: 10.1088/1674-1137/39/9/093101 shu
Milestone
Received: 2014-11-18
Revised: 2015-04-01
Article Metric

Article Views(1033)
PDF Downloads(259)
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:

Identifying the structure of near-threshold states from the line shape

    Corresponding author: CHEN Guo-Ying,
    Corresponding author: HUO Wen-Sheng,
    Corresponding author: ZHAO Qiang,

Abstract: We revisit the compositeness theorem proposed by Weinberg in an effective field theory (EFT) and explore criteria which are sensitive to the structure of S-wave threshold states. On a general basis, we show that the wave function renormalization constant Z, which is the probability of finding an elementary component in the wave function of a threshold state, can be explicitly introduced in the description of the threshold state. As an application of this EFT method, we describe the near-threshold line shape of the D*0D0 invariant mass spectrum in B→D*0D0K and determine a nonvanishing value of Z. It suggests that the X(3872) as a candidate of the D*0D0 molecule may still contain a small cc core. This elementary component, on the one hand, explains its production in the B meson decay via a short-distance mechanism, and on the other hand, is correlated with the D*0D0 threshold enhancement observed in the D*0D0 invariant mass distributions. Meanwhile, we also show that if Z is non-zero, the near-threshold enhancement of the D*0D0 mass spectrum in the B decay will be driven by the short-distance production mechanism.

    HTML

Reference (1)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return