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RETRACTED ARTICLE: Study of Mass Spectra and Decay Properties of D Meson in a Relativistic Independent Quark Model

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
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Abstract

We compute the S-wave\(~D(c\bar {s})\) meson spectra using the independent quark model of scalar plus vector with square root potential model. The calculated states in S-wave, 13S1(2009.14), 11S0(1865.96), 23S1(2607.19), 21S0(2536.73), 33S1(3215.43), 31S0(3189.12), 43S1(3552), 41S0(3492) are closely matching with experimental data of the BABAR collaboration. According to this relativistic Dirac formalism, radiative decay and pseudoscalar decay constant (\({{f}_{{\text{p}}}} = 204.26{\text{ MeV }}\)) of D meson is nearly identical to the theoretical, lattice, and experimental results. We get results for leptonic decay width and branch ratio of D meson more consistent with experimental and theoretical data calculated. The computed Cabibbo-favored mesonic decay width and a branching fraction BF \(({{D}^{0}} \to {{K}^{ - }}{{\pi }^{ + }})\), and BF \({{({{D}^{0}} \to {{K}^{ + }}{{\pi }^{ - }})}^{{''}}}i\) is also in excellent agreement with experimental data obtained by CLEO collaboration in the respective experiments. We compute the necessary mesonic form factors using our developed independent confined quark model over the entire kinematical range of momentum transfer. Further, we calculate branching fractions for semileptonic decays (\({{D}^{0}} \to {{K}^{ - }}{{e}^{ + }}{{\nu }_{e}}~{\kern 1pt} ,\) \({{D}^{0}} \to {{K}^{ - }}{{\mu }^{ + }}{{\nu }_{{\mu ~}}},\) \({{D}^{0}}{{\pi }^{ - }}{{e}^{ + }}{{\nu }_{e}},~\,\,{\text{and}}\,\,~{{D}^{0}} \to {{\pi }^{ - }}{{\mu }^{ + }}{{\nu }_{\mu }})\) and their ratios, which demonstrate excellent agreement with the available experimental data (BESIII), are provided. BABAR and BELLE collaboration results are matching closely to our computed hybrid parameters\(~~{{x}_{q}}{{\;}}\) (4.95 × 10–3), \({{y}_{q}}\) (6.47 ×10–3) and \({{R}_{{\text{M}}}}{{\;}}\) (3.317 × 10–5) of \(~{{D}^{0}} - {{\bar {D}}^{0}}~\) Meson oscillations.

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Authors and Affiliations

  1. Department of Physics, Govt. Science College, Chatrapur, 761020, Odisha, India

    S. Behera

  2. Department of Physics, Berhampur University, Berhampur, 1760007, Odisha, India

    S. Panda

  3. Regional Director (South Zone), Department of Higher Education, Odisha, India

    L. K. Tripathy

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  1. S. Behera
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  2. S. Panda
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  3. L. K. Tripathy
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Correspondence to S. Behera.

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This article has been retracted. Please see the retraction notice for more detail: https://doi.org/10.1134/S1547477122020133

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Behera, S., Panda, S. & Tripathy, L.K. RETRACTED ARTICLE: Study of Mass Spectra and Decay Properties of D Meson in a Relativistic Independent Quark Model. Phys. Part. Nuclei Lett. 19, 1–15 (2022). https://doi.org/10.1134/S1547477122010034

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