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Chinese Physics C > 2019, Vol. 43 > Issue(10): 103103 DOI: 10.1088/1674-1137/43/10/103103

A coupled-channel lattice study of the resonance-like structureZc(3900)

  • 1.

    School of Physics, Peking University, Beijing 100871, China

  • 2.

    Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China

  • 3.

    School of Physics and Center for High Energy Physics, Peking University, Beijing 100871, China Collaborative Innovation Center of Quantum Matter, Beijing 100871, China

  • 4.

    Institute of Modern Physics,Chinese Academy of Sciences, Lanzhou 730000, China University of Chinese Academy of Sciences, Beijing 100049, China

  • 5.

    School of Physics, Nankai University, Tianjin 300071, China

  • 6.

    Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

  • 7.

    Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany

  • 8.

    Department of Physics, Zhejiang University, Hangzhou 311027, China

  • In this exploratory study, near-threshold scattering of Dand $\bar{D}^*$ meson is investigated using lattice QCD with $N_f=2+1+1$ twisted mass fermion configurations. The calculation is performed in the coupled-channel Lüscher finite-size formalism. The study focuses on the channel with $I^G(J^{PC})=1^+(1^{+-})$ where the resonance-like structure $Z_c(3900)$ was discovered. We first identify the two most relevant channels and the lattice study is performed in the two-channel scattering model. Combined with the two-channel Ross-Shaw theory, scattering parameters are extracted from the energy levels by solving the generalized eigenvalue problem. Our results for the scattering length parameters suggest that for the particular lattice parameters that we studied, the best fit parameters do not correspond to the peak in the elastic scattering cross-section near the threshold. Furthermore, in the zero-range Ross-Shaw theory, the scenario of a narrow resonance close to the threshold is disfavored beyond the 3 $\sigma$ level.
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  • References

    [1] M. Ablikim et al (BESⅢ Collaboration), Phys. Rev. Lett.,110: 252001 (2013), arXiv:1303.5949[hep-ex doi:10.1103/PhysRevLett.110.252001
    [2] Z. Liu et al (Belle Collaboration), Phys. Rev. Lett.,110: 252002 (2013), arXiv:1304.0121[hep-ex doi:10.1103/PhysRevLett.110.252002
    [3] T. Xiao, S. Dobbs, A. Tomaradze et al, Phys. Lett. B,727: 366 (2013), arXiv:1304.3036[hep-ex doi:10.1016/j.physletb.2013.10.041
    [4] X. Liu, J. Univ. Sci. Tech. China,46: 533 (2016)
    [5] F.-K. Guo, C. Hanhart, U.-G. Meiöner et al, Rev. Mod. Phys.,90: 015004 (2018), arXiv:1705.00141[hep-ph doi:10.1103/RevModPhys.90.015004
    [6] S. Prelovsek, C. B. Lang, L. Leskovec et al, Phys. Rev. D,91: 014504 (2015), arXiv:1405.7623[heplat
    [7] M. Lüscher, Commun. Math. Phys.,104: 177 (1986) doi:10.1007/BF01211589
    [8] M. Lüscher, Commun. Math. Phys.,105: 153 (1986) doi:10.1007/BF01211097
    [9] M. Lüscher and U. Wolff, Nucl. Phys. B,339: 222 (1990) doi:10.1016/0550-3213(90)90540-T
    [10] M. Lüscher, Nucl. Phys. B,354: 531 (1991) doi:10.1016/0550-3213(91)90366-6
    [11] M. Lüscher, Nucl. Phys. B,364: 237 (1991) doi:10.1016/0550-3213(91)90584-K
    [12] Y. Chen et al, Phys. Rev. D,89: 094506 (2014), arXiv:1403.1318[hep-lat
    [13] Y. Chen et al (CLQCD), Phys. Rev. D,92: 054507 (2015), arXiv:1503.02371[hep-lat
    [14] S.-h. Lee, C. DeTar, H. Na et al, Fermilab Lattice, MILC, (2014), arXiv:1411.1389[hep-lat
    [15] N. Ishii, S. Aoki, and T. Hatsuda, Phys. Rev. Lett.,99: 022001 (2007), arXiv:nucl-th/0611096[nucl-th doi:10.1103/PhysRevLett.99.022001
    [16] Y. Ikeda, S. Aoki, T. Doi et al (HAL QCD), Phys. Rev. Lett.,117: 242001 (2016), arXiv:1602.03465[hep-lat doi:10.1103/PhysRevLett.117.242001
    [17] Y. Ikeda (HAL QCD), J. Phys. G,45: 024002 (2018), arXiv:1706.07300[hep-lat doi:10.1088/1361-6471/aa9afd
    [18] C. L. Song He and Xu Feng, JHEP,0507: 011 (2005)
    [19] C. Liu, X. Feng, and S. He, Int. J. Mod. Phys. A,21: 847 (2006), arXiv:hep-lat/0508022[hep-lat doi:10.1142/S0217751X06032150
    [20] M. Lage, U.-G. Meißner, and A. Rusetsky, Phys. Lett. B,681: 439 (2009), arXiv:0905.0069[hep-lat doi:10.1016/j.physletb.2009.10.055
    [21] M. Döring, U.-G. Meißner, E. Oset et al, Eur. Phys. J. A,47: 139 (2011), arXiv:1107.3988[hep-lat doi:10.1140/epja/i2011-11139-7
    [22] M. Döring, U. Meißner, E. Oset et al, Eur. Phys. J. A,48: 114 (2012), arXiv:1205.4838[hep-lat doi:10.1140/epja/i2012-12114-6
    [23] J. J. Dudek, R. G. Edwards, C. E. Thomas et al (Hadron Spectrum), Phys. Rev. Lett.,113: 182001 (2014), arXiv:1406.4158[hep-ph doi:10.1103/PhysRevLett.113.182001
    [24] D. J. Wilson, J. J. Dudek, R. G. Edwards et al, Phys. Rev. D,91: 054008 (2015), arXiv:1411.2004[hep-ph doi:10.1103/PhysRevD.91.054008
    [25] D. J. Wilson, R. A. Briceno, J. J. Dudek et al, Phys. Rev. D,92: 094502 (2015), arXiv:1507.02599[hep-ph
    [26] R. A. Briceno, J. J. Dudek, R. G. Edwards et al, Phys. Rev. Lett.,118: 022002 (2017), arXiv:1607.05900[hep-ph doi:10.1103/PhysRevLett.118.022002
    [27] M. Ross and G. Shaw, Annals of Physics,9: 391 (1960) doi:10.1016/0003-4916(60)90040-3
    [28] M. Ross and G. Shaw, Annals of Physics,13: 147 (1961) doi:10.1016/0003-4916(61)90078-1
    [29] M. Ablikim et al (BESⅢ), Phys. Rev. Lett.,115: 222002 (2015), arXiv:1509.05620[hep-ex doi:10.1103/PhysRevLett.115.222002
    [30] C. Morningstar, J. Bulava, J. Foley et al, Phys. Rev. D,83: 114505 (2011), arXiv:1104.3870[hep-lat doi:10.1103/PhysRevD.83.114505
    [31] C. Helmes, C. Jost, B. Knippschild et al (ETM), JHEP,09: 109 (2015), arXiv:1506.00408[hep-lat
    [32] M. Ablikim et al (BESⅢ), Phys. Rev. Lett.,112: 022001 (2014), arXiv:1310.1163[hep-ex doi:10.1103/PhysRevLett.112.022001
    [33] R. Frezzotti and G. Rossi, JHEP,0410: 070 (2004), arXiv:hep-lat/0407002[hep-lat
    [34] J. J. Dudek, R. G. Edwards, and C. E. Thomas, Phys. Rev. D,86: 034031 (2012), arXiv:1203.6041[hep-ph doi:10.1103/PhysRevD.86.034031

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Ting Chen, Ying Chen, Ming Gong, Chuan Liu, Liuming Liu, Yu-Bin Liu, Zhaofeng Liu, Jian-Ping Ma, Markus Werner, Jian-Bo Zhang and (CLQCD Collaboration). A coupled-channel lattice study of the resonance-like structure Zc(3900)[J]. Chinese Physics C, 2019, 43(10): 103103. doi: 10.1088/1674-1137/43/10/103103
Ting Chen, Ying Chen, Ming Gong, Chuan Liu, Liuming Liu, Yu-Bin Liu, Zhaofeng Liu, Jian-Ping Ma, Markus Werner, Jian-Bo Zhang and (CLQCD Collaboration). A coupled-channel lattice study of the resonance-like structure Zc(3900)[J]. Chinese Physics C, 2019, 43(10): 103103. doi:10.1088/1674-1137/43/10/103103 shu
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Received: 2019-07-09
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