\begin{document}$ P\to P,\,S,\,V $\end{document}, and A transitions within the standard light-front (SLF) and the covariant light-front (CLF) quark models (QMs). The self-consistency and Lorentz covariance of CLF QM are analyzed via these quantities, and the effects of zero-mode are discussed. For the \begin{document}$ P\to V $\end{document} and A transitions, besides the inconsistency between the results extracted via longitudinal and transverse polarization states, which is caused by the residual \begin{document}$ \omega $\end{document}-dependent spurious contributions, we find and analyze a “novel” self-consistence problem of the traditional CLF QM, caused by different strategies for dealing with the trace term in CLF matrix element. A possible solution to the problems of traditional CLF QM is discussed and confirmed numerically. Finally, the theoretical predictions for the tensor form factors of some \begin{document}$ c\to q,\,s $\end{document} and \begin{document}$ b\to q,\,s\,,c $\end{document} (\begin{document}$ q = u,d $\end{document}) induced \begin{document}$ P\to P,\,S,\,V $\end{document} and A transitions are updated within the CLF QM with a self-consistent scheme."> Tensor form factors of <i>P</i>→ <i>P</i>, <i>S</i>, <i>V</i> and <i>A</i> transitions within standard and covariant light-front approaches -
  • [1]

    M. Wirbel, B. Stech, and M. Bauer, Z. Phys. C,29: 637 (1985)

  • [2]

    D. Daniel, R. Gupta, and D. G. Richards, Phys. Rev. D,43: 3715 (1991)

  • [3]

    M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B,147: 385 (1979)

  • [4]

    M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B,147: 448 (1979)

  • [5]

    ,M. V. Terentev, Sov. J. Nucl. Phys.,24: 106 (1976) [Yad. Fiz.24(1976) 207]

  • [6]

    ,V. B. Berestetsky and M. V. Terentev, Sov. J. Nucl. Phys.,25: 347 (1977) [Yad. Fiz.25(1977) 653]

  • [7]

    H. Y. Cheng, C. Y. Cheung, C. W. Hwanget al., Phys. Rev. D,57: 5598 (1998)

  • [8]

    J. Carbonell, B. Desplanques, V. A. Karmanovet al., Phys. Rept.,300: 215 (1998)

  • [9]

    W. Jaus, Phys. Rev. D,60: 054026 (1999)

  • [10]

    P. A. M. Dirac, Rev. Mod. Phys.,21: 392 (1949)

  • [11]

    S. J. Brodsky, H. C. Pauli, and S. S. Pinsky, Phys. Rept.,301: 299 (1998)

  • [12]

    W. Jaus, Phys. Rev. D,41: 3394 (1990)

  • [13]

    W. Jaus and D. Wyler, Phys. Rev. D,41: 3405 (1990)

  • [14]

    C. Q. Geng, C. C. Lih, and C. Xia, Eur. Phys. J. C,76(6): 313 (2016)

  • [15]

    W. Jaus, Phys. Rev. D,44: 2851 (1991)

  • [16]

    W. Jaus, Phys. Rev. D,53: 1349 (1996)

  • [17]

    H. Y. Cheng, C. Y. Cheung, and C. W. Hwang, Phys. Rev. D,55: 1559 (1997)

  • [18]

    P. J. O’Donnell and G. Turan, Phys. Rev. D,56: 295 (1997)

  • [19]

    C. Y. Cheung, C. W. Hwang, and W. M. Zhang, Z. Phys. C,75: 657 (1997)

  • [20]

    H. M. Choi and C. R. Ji, Nucl. Phys. A,618: 291 (1997)

  • [21]

    H. M. Choi and C. R. Ji, Phys. Rev. D,59: 074015 (1999)

  • [22]

    H. M. Choi and C. R. Ji, Phys. Rev. D,59: 034001 (1998)

  • [23]

    C. R. Ji and H. M. Choi, Phys. Lett. B,513: 330 (2001)

  • [24]

    M. A. DeWitt, H. M. Choi, and C. R. Ji, Phys. Rev. D,68: 054026 (2003)

  • [25]

    H. M. Choi and C. R. Ji, Phys. Rev. D,75: 034019 (2007)

  • [26]

    H. M. Choi, Phys. Rev. D,75: 073016 (2007)

  • [27]

    N. Barik, S. K. Tripathy, S. Karet al., Phys. Rev. D,56: 4238 (1997)

  • [28]

    C. W. Hwang, Eur. Phys. J. C,19: 105 (2001)

  • [29]

    C. W. Hwang, Phys. Rev. D,81: 114024 (2010)

  • [30]

    C. W. Hwang, Phys. Lett. B,516: 65 (2001)

  • [31]

    C. W. Hwang, JHEP,0910: 074 (2009)

  • [32]

    Q. Chang, S. J. Brodsky, and X. Q. Li, Phys. Rev. D,95(9): 094025 (2017)

  • [33]

    Q. Chang, S. Xu, and L. Chen, Nucl. Phys. B,921: 454 (2017)

  • [34]

    Q. Chang, X. N. Li, X. Q. Liet al., Chin. Phys. C,42(7): 073102 (2018)

  • [35]

    Q. Chang, L. L. Chen, and S. Xu, J. Phys. G,45(7): 075005 (2018)

  • [36]

    B. L. G. Bakker, H. M. Choi, and C. R. Ji, Phys. Rev. D,63: 074014 (2001)

  • [37]

    B. L. G. Bakker, H. M. Choi, and C. R. Ji, Phys. Rev. D,65: 116001 (2002)

  • [38]

    B. L. G. Bakker, H. M. Choi, and C. R. Ji, Phys. Rev. D,67: 113007 (2003)

  • [39]

    H. M. Choi and C. R. Ji, Phys. Rev. D,70: 053015 (2004)

  • [40]

    H. M. Choi and C. R. Ji, Phys. Rev. D,80: 114003 (2009)

  • [41]

    H. M. Choi, Phys. Rev. D,81: 054003 (2010)

  • [42]

    H. M. Choi, J. Phys. G,37: 085005 (2010)

  • [43]

    H. M. Choi and C. R. Ji, Phys. Lett. B,696: 518 (2011)

  • [44]

    H. M. Choi and C. R. Ji, Nucl. Phys. A,856: 95 (2011)

  • [45]

    H. M. Choi and C. R. Ji, Phys. Rev. D,91(1): 014018 (2015)

  • [46]

    H. M. Choi and C. R. Ji, Phys. Rev. D,95(5): 056002 (2017)

  • [47]

    H. M. Choi, H. Y. Ryu, and C. R. Ji, Phys. Rev. D,96(5): 056008 (2017)

  • [48]

    H. Y. Ryu, H. M. Choi, and C. R. Ji, Phys. Rev. D,98(3): 034018 (2018)

  • [49]

    C. W. Hwang, Phys. Rev. D,64: 034011 (2001)

  • [50]

    C. W. Hwang, Phys. Lett. B,530: 93 (2002)

  • [51]

    C. W. Hwang and R. S. Guo, Phys. Rev. D,82: 034021 (2010)

  • [52]

    C. Y. Cheung and C. W. Hwang, JHEP,1404: 177 (2014)

  • [53]

    W. Wang and Y. L. Shen, Phys. Rev. D,78: 054002 (2008)

  • [54]

    W. Wang, Y. L. Shen, and C. D. Lu, Phys. Rev. D,79: 054012 (2009)

  • [55]

    Y. L. Shen and Y. M. Wang, Phys. Rev. D,78: 074012 (2008)

  • [56]

    X. X. Wang, W. Wang, and C. D. Lu, Phys. Rev. D,79: 114018 (2009)

  • [57]

    H. Y. Cheng and X. W. Kang, Eur. Phys. J. C,77(9): 587 (2017), Erratum: Eur. Phys. J. C,77(12): 863 (2017)

  • [58]

    X. W. Kang, T. Luo, Y. Zhanget al., arXiv: 1808.02432 [hep-ph]

  • [59]

    W. Jaus, Phys. Rev. D,67: 094010 (2003)

  • [60]

    H. Y. Cheng, C. K. Chua, and C. W. Hwang, Phys. Rev. D,69: 074025 (2004)

  • [61]

    R. C. Verma, J. Phys. G,39: 025005 (2012)

  • [62]

    Y. J. Shi, W. Wang, and Z. X. Zhao, Eur. Phys. J. C,76(10): 555 (2016)

  • [63]

    W. Wang and R. Zhu, arXiv: 1808.10830 [hep-ph]

  • [64]

    H. Y. Cheng, C. K. Chua, and C. W. Hwang, Phys. Rev. D,70: 034007 (2004)

  • [65]

    H. Y. Cheng and C. K. Chua, JHEP,0411: 072 (2004)

  • [66]

    Z. T. Wei, H. W. Ke, and X. Q. Li, Phys. Rev. D,80: 094016 (2009)

  • [67]

    W. Wang, F. S. Yu, and Z. X. Zhao, Eur. Phys. J. C,77(11): 781 (2017)

  • [68]

    H. W. Ke, N. Hao, and X. Q. Li, arXiv: 1711.02518 [hep-ph]

  • [69]

    Z. X. Zhao, Chin. Phys. C,42(9): 093101 (2018)

  • [70]

    Z. X. Zhao, Eur. Phys. J. C,78(9): 756 (2018)

  • [71]

    C. K. Chua, Phys. Rev. D,99(1): 014023 (2019)

  • [72]

    X. H. Hu, R. H. Li, and Z. P. Xing, arXiv: 2001.06375 [hep-ph]

  • [73]

    H. M. Choi, H. Y. Ryu, and C. R. Ji, Phys. Rev. D,99(7): 076012 (2019)

  • [74]

    N. Dhiman, H. Dahiya, C. R. Jiet al., Phys. Rev. D,100(1): 014026 (2019)

  • [75]

    N. Kumar, Phys. Rev. D,99(1): 014039 (2019)

  • [76]

    H. W. Ke, N. Hao, and X. Q. Li, Eur. Phys. J. C,79(6): 540 (2019)

  • [77]

    H. W. Ke, F. Lu, X. H. Liuet al., arXiv: 1912.01435 [hep-ph]

  • [78]

    H. W. Ke, F. Lu, X. H. Liuet al., Eur. Phys. J. C,80(2): 140 (2020)

  • [79]

    C. Q. Geng, C. W. Hwang, C. C. Lihet al., Phys. Rev. D,64: 114024 (2001)

  • [80]

    H. Y. Cheng and C. K. Chua, Phys. Rev. D,69: 094007 (2004)

  • [81]

    H. Y. Cheng and C. K. Chua, Erratum: Phys. Rev. D,81: 059901 (2010)

  • [82]

    H. Y. Cheng and C. K. Chua, Phys. Rev. D,81: 114006 (2010), Erratum: Phys. Rev. D,82: 059904 (2010)

  • [83]

    Y. L. Shen and G. Li, Eur. Phys. J. C,73: 2441 (2013)

  • [84]

    H. M. Choi and C. R. Ji, Phys. Rev. D,89(3): 033011 (2014)

  • [85]

    Q. Chang, X. N. Li, X. Q. Liet al., Phys. Rev. D,98(11): 114018 (2018)

  • [86]

    Q. Chang, X. N. Li, and L. T. Wang, Eur. Phys. J. C,79(5): 422 (2019)

  • [87]

    Q. Chang, L. T. Wang, and X. N. Li, JHEP,1912: 102 (2019)

  • [88]

    P. Ball and V. M. Braun, Phys. Rev. D,58: 094016 (1998)

  • [89]

    H. M. Choi, C. R. Ji, Z. Liet al., Phys. Rev. C,92(5): 055203 (2015)

  • [90]

    H. M. Choi and C. R. Ji, Phys. Rev. D,80: 054016 (2009)

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