\begin{document}$ a_0(1450) $\end{document} has not been definitively determined; it may comprise multiple possible configurations. Among these, it may be regarded as a \begin{document}$ q\bar{q} $\end{document} state. Based on this possibility, we use QCD light-cone sum rules to study the semileptonic decay process \begin{document}$ D \to a_0(1450)\ell \nu_\ell $\end{document} with \begin{document}$ \ell=(e, \mu) $\end{document} and to test this hypothesis. First, we construct two twist-2 light-cone distribution-amplitude schemes based on the light-cone harmonic-oscillator model, and present their moments \begin{document}$ \langle\xi^{n}\rangle |_{\mu} $\end{document} and Gegenbauer moments \begin{document}$ a_{n}(\mu) $\end{document} at \begin{document}$ \mu_0=1\; {\rm{GeV}} $\end{document} and \begin{document}$ \mu_k= 1.4\; {\rm{GeV}} $\end{document} for \begin{document}$ n=(1,3,5) $\end{document}. In the large-recoil region, we obtain the transition form factors (TFFs): \begin{document}$ f_+^{({\rm{S}}1)}(0) = $\end{document}\begin{document}$ 0.836_{-0.119}^{+0.116} $\end{document}, \begin{document}$ f_+^{({\rm{S}}2)}(0)=0.767_{-0.105}^{+0.106} $\end{document}, and \begin{document}$ f_-(0)=0.630_{-0.077}^{+0.078} $\end{document}. A simplified series expansion \begin{document}$ z(q^2, t) $\end{document} is used to extrapolate the TFFs to the entire physical \begin{document}$ q^2 $\end{document} region. For \begin{document}$ q^2=10^{-5} \; {\rm{GeV}}^2 $\end{document}, we compute the angular distribution of the differential decay width \begin{document}${{\rm d}\Gamma}/{{\rm d}\cos\theta_\ell }$\end{document} over the range \begin{document}$ \cos\theta_\ell \in [-1,1] $\end{document}. Subsequently, we obtain the differential decay widths and branching fractions for \begin{document}$ D^0 \to a_0(1450)^- \ell^+ \nu_\ell $\end{document} and \begin{document}$ D^- \to a_0(1450)^0 \ell^- \bar{\nu}_\ell $\end{document}, with branching fractions of order \begin{document}$ 10^{-6} $\end{document}. Finally, we analyze three angular observables for the semileptonic decay process \begin{document}$ D^- \to a_0(1450)^0 \ell^- \bar{\nu}_\ell $\end{document}: the forward–backward asymmetry \begin{document}$ {\cal{A}}_{\rm{FB}} $\end{document}, the lepton polarization asymmetry \begin{document}$ {\cal{A}}_{\lambda_\ell} $\end{document}, and the \begin{document}$ q^2 $\end{document}-differential flat term \begin{document}$ {\cal{F}}_{\rm{H}} $\end{document}."> Searching the possibility of <i>a</i><sub>0</sub>(1450) scalar state being a <i>q<span style="text-decoration:overline">q</span></i> state structure via charmed meson semileptonic decays -
  • [1]

    H. Y. Cheng, C. K. Chua, and K. C. Yang (ADS Abstract Service), Phys. Rev. D73, 014017 (2006), arXiv: 0508104

  • [2]

    Z. Rui, Y. Q. Li, and J. Zhang, Phys. Rev. D99, 093007 (2019), arXiv: 1811.12738

  • [3]

    J. Chai, S. Cheng, and A. J. Ma, Phys. Rev. D105, 033003 (2022), arXiv: 2109.00664

  • [4]

    D. Guo, W. Chen, H. X. Chenet al., Phys. Rev. D105, 114014 (2022), arXiv: 2204.13092

  • [5]

    H. Y. Han, X. G. Wu, H. B. Fuet al., Eur. Phys. J. A49, 78 (2013), arXiv: 1301.3978

  • [6]

    R. L. Jaffe, Phys. Rev. D15, 267 (1977)

  • [7]

    J. D. Weinstein and N. Isgur, Phys. Rev. D27, 588 (1983)

  • [8]

    E. Klempt, Phys. Lett. B820, 136512 (2021), arXiv: 2104.09922

  • [9]

    T. V. Brito, F. S. Navarra, M. Nielsenet al., Phys. Lett. B608, 69 (2005), arXiv: 0411233

  • [10]

    E. Klempt and A. Zaitsev, Phys. Rept.454, 1 (2007), arXiv: 0708.4016

  • [11]

    M. Ablikimet al. (BESIII Collaboration), Phys. Rev. Lett.121, 081802 (2018), arXiv: 1803.02166

  • [12]

    M. Ablikimet al. (BESIII Collaboration), Phys. Rev. D105, L031101 (2022), arXiv: 2110.13994

  • [13]

    M. Ablikimet al. (BESIII Collaboration), Phys. Rev. Lett.132, 141901 (2024), arXiv: 2303.12927

  • [14]

    M. Ablikimet al. (BESIII Collaboration), JHEP12, 072 (2023), arXiv: 2307.03024

  • [15]

    K. M. Ecklundet al. (CLEO Collaboration), Phys. Rev. D80, 052009 (2009), arXiv: 0907.3201

  • [16]

    P. A. Zylaet al. (Particle Data Group), PTEP2020, 083C01 (2020)

  • [17]

    C. Amsleret al. (Crystal Barrel Collaboration), Phys. Lett. B333, 277 (1994)

  • [18]

    N. Mathur, A. Alexandru, A. Y. Chenet al., Phys. Rev. D.76, 114505 (2007)

  • [19]

    X. D. Cheng, R. M. Wang, and Y. G. Xu, Phys. Rev. D102, 054009 (2020), arXiv: 2007.15210

  • [20]

    W. J. Lee and D. Weingarten, Phys. Rev. D61, 014015 (2000), arXiv: 9910008

  • [21]

    S. Navaset al. (Particle Data Group), Phys. Rev. D110, 030001 (2024)

  • [22]

    S. Cheng and S. L. Zhang, Eur. Phys. J. C84(4), 379 (2024), arXiv: 2307.02309

  • [23]

    C. Amsler and N. A. Tornqvist, Phys. Rept.389, 61 (2004)

  • [24]

    H. W. Ke, X. Q. Li, and Z. T. Wei, Phys. Rev. D80, 074030 (2009), arXiv: 0907.5465

  • [25]

    S. Cheng, L. y. Dai, J. m. Shenet al., Phys. Rev. D113(3), L031901 (2026), arXiv: 2509.15659

  • [26]

    N. M. Cason, V. A. Polychronakos, J. M. Bishopet al., Phys. Rev. Lett.36, 1485 (1976)

  • [27]

    A. Bertinet al. (OBELIX), Phys. Lett. B434, 180 (1998)

  • [28]

    S. Ueharaet al. (Belle), Phys. Rev. D80, 032001 (2009), arXiv: 0906.1464

  • [29]

    K. Liuet al. (BESIII Collaboration), PoSLeptonPhoton2019, 046 (2019)

  • [30]

    S. Zhanget al. (BESIII Collaboration), SciPost Phys. Proc.1, 016 (2019)

  • [31]

    Y. H. Yanget al. (BESIII Collaboration), (Semi-)leptonic decays ofDMesons at BESIII, arXiv: 1812.00320

  • [32]

    M. Ablikimet al. (BESIII Collaboration), Eur. Phys. J. C76, 369 (2016), arXiv: 1605.00068

  • [33]

    M. Ablikimet al. (BESIII Collaboration), Phys. Rev. D104, 052008 (2021), arXiv: 2104.08081

  • [34]

    M. Ablikimet al. (BESIII Collaboration), Phys. Rev. D92, 072012 (2015), arXiv: 1508.07560

  • [35]

    M. Ablikimet al. (BESIII Collaboration), Phys. Rev. D104, L091103 (2021), arXiv: 2106.02292

  • [36]

    M. Ablikimet al. (BESIII Collaboration), Phys. Rev. D92, 071101 (2015), arXiv: 1508.00151

  • [37]

    J. P. Leeset al. (BaBar Colleboration), Phys. Rev. D91, 052022 (2015), arXiv: 1412.5502

  • [38]

    L. Widhalmet al. (Belle Colleboration), Phys. Rev. Lett.97, 061804 (2006), arXiv: 0604049

  • [39]

    S. Dobbset al. (CLEO Collaboration), Phys. Rev. Lett.110, 131802 (2013), arXiv: 1112.2884

  • [40]

    G. S. Huanget al. (CLEO Collaboration), Phys. Rev. Lett.94, 011802 (2005), arXiv: 0407035

  • [41]

    J. Yeltonet al. (CLEO Collaboration), Phys. Rev. D80, 052007 (2009), arXiv: 0903.0601

  • [42]

    D. Bessonet al. (CLEO Collaboration), Phys. Rev. D80, 032005 (2009), arXiv: 0906.2983

  • [43]

    G. S. Huanget al. (CLEO Collaboration), Phys. Rev. Lett.95, 181801 (2005), arXiv: 0506053

  • [44]

    R. C. Verma, J. Phys. G39, 025005 (2012), arXiv: 1103.2973

  • [45]

    V. O. Galkin and I. S. Sukhanov, Phys. Rev. D111, 093001 (2025), arXiv: 2501.16406

  • [46]

    Q. Huang, Y. J. Sun, D. Gaoet al.,Study of form factors and branching ratios for \begin{document}$D\rightarrow S, Al\bar{\nu_{l}}$\end{document} with light-cone sum rules, arXiv: 2102.12241

  • [47]

    I. I. Balitsky, V. M. Braun, and A. V. Kolesnichenko, Nucl. Phys. B312, 509 (1989)

  • [48]

    V. L. Chernyak and I. R. Zhitnitsky, Nucl. Phys. B345, 137 (1990)

  • [49]

    W. Cheng, X. G. Wu, and H. B. Fu, Phys. Rev. D95, 094023 (2017), arXiv: 1703.08677

  • [50]

    G. Duplancic, A. Khodjamirian, T. Mannelet al., JHEP04, 014 (2008), arXiv: 0801.1796

  • [51]

    H. J. Tian, H. B. Fu, T. Zhonget al., Phys. Rev. D108, 076003 (2023), arXiv: 2306.07595

  • [52]

    J. Gao, C. D. Lü, Y. L. Shenet al., Phys. Rev. D101, 074035 (2020), arXiv: 1907.11092

  • [53]

    J. Huaet al. (Lattice Parton), Phys. Rev. Lett.129, 132001 (2022), arXiv: 2201.09173

  • [54]

    T. Huang, B. Q. Ma, and Q. X. Shen, Phys. Rev. D49, 1490 (1994), arXiv: 9402285

  • [55]

    B. Y. Cui, Y. K. Huang, Y. L. Shenet al., JHEP03, 140 (2023), arXiv: 2212.11624

  • [56]

    X. G. Wu and T. Huang, Phys. Rev. D84, 074011 (2011), arXiv: 1106.4365

  • [57]

    X. G. Wu and T. Huang, Phys. Rev. D82, 034024 (2010), arXiv: 1005.3359

  • [58]

    X. G. Wu, T. Huang, and Z. Y. Fang, Eur. Phys. J. C52, 561 (2007), arXiv: 0707.2504

  • [59]

    B. Q. Ma, Z. Phys. A345, 321 (1993), arXiv: 9305283

  • [60]

    Z. H. Wu, H. B. Fu, T. Zhonget al., Nucl. Phys. A1036, 122671 (2023), arXiv: 2211.05390

  • [61]

    D. Huang, T. Zhong, H. B. Fuet al., Eur. Phys. J. C83(7), 680 (2023), arXiv: 2211.06211

  • [62]

    Y. L. Yang, H. J. Tian, Y. X. Wanget al., Phys. Rev. D110(11), 116030 (2024), arXiv: 2409.01512

  • [63]

    T. Huang and X. G. Wu, Phys. Rev. D70, 093013 (2004), arXiv: 0408252

  • [64]

    F. g. Cao and T. Huang, Phys. Rev. D59, 093004 (1999), arXiv: 9711284

  • [65]

    T. Zhong, Z. H. Zhu, H. B. Fuet al., Phys. Rev. D104, 016021 (2021), arXiv: 2102.03989

  • [66]

    G. P. Lepage and S. J. Brodsky, Phys. Rev. D22, 2157 (1980)

  • [67]

    H. B. Fu, X. G. Wu, and Y. Ma, J. Phys. G43, 015002 (2016), arXiv: 1411.6423

  • [68]

    T. Zhong, X. G. Wu, H. Y. Hanet al., Commun. Theor. Phys.58, 261 (2012), arXiv: 1109.3127

  • [69]

    C. D. Lu, Y. M. Wang, and H. Zou, Phys. Rev. D75, 056001 (2007), arXiv: 0612210

  • [70]

    C. Patrignaniet al. (Particle Data Group), Chin. Phys. C40, 100001 (2016)

  • [71]

    P. Ball and R. Zwicky, JHEP04, 046 (2006), arXiv: 0603232

  • [72]

    P. Ball and R. Zwicky, Phys. Rev. D71, 014015 (2005), arXiv: 0406232

  • [73]

    H. B. Fu, L. Zeng, R. Lüet al., Eur. Phys. J. C80, 194 (2020), arXiv: 1808.06412

  • [74]

    H. Y. Cheng and X. W. Kang, Eur. Phys. J. C77, 587 (2017), arXiv: 1707.02851

Baidu
map