Retraction Note to: Study of Mass Spectra and Decay Properties of D Meson in a Relativistic Independent Quark Model

Behera, S.; Panda, S.; Tripathy, L.K.

doi:10.1134/S1547477122020133

Retraction Note to: Study of Mass Spectra and Decay Properties of D Meson in a Relativistic Independent Quark Model

Feb 11, 2022

15 pages

Published in:

Phys.Part.Nucl.Lett. 19 (2022) 1, 1-15

Published: Apr 18, 2022
and
Published: Feb 11, 2022

DOI:

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Abstract: (Springer)

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, 1

^{3}

S

_{1}

(2009.14), 1

^{1}

S

_{0}

(1865.96), 2

^{3}

S

_{1}

(2607.19), 2

^{1}

S

_{0}

(2536.73), 3

^{3}

S

_{1}

(3215.43), 3

^{1}

S

_{0}

(3189.12), 4

^{3}

S

_{1}

(3552), 4

^{1}

S

_{0}

(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.

decay constant of mesons
radiative decay of meson
leptonic decay widths and branching fraction
mesonic decay
semileptonic decay of \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document} ${{D}^{0}}$ \end{document} meson and hybrid parameters of \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document} $D - \bar {D}~~$ \end{document}oscillations
meson: radiative decay
decay constant: pseudoscalar
meson: decay constant
meson: leptonic decay
meson: oscillation

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