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Mass spectra and decay properties of $D$ Meson in a relativistic Dirac formalism | | Manan Shah
; Bhavin Patel
; P. C. Vinodkumar
; | | Date: |
23 Dec 2014 | | Abstract: | The mass spectra of ground as well as excited states of $D$ meson are
calculated in the framework of a relativistic independent quark model. For the
present study, we have used the martin like potential for the quark
confinement. Our predicted states in S-wave, $2 ^3S_1$ (2605.86 MeV) and $2
^1S_0$ (2521.72 MeV) are in very good agreement with experimental result of
$2608pm{2.4}pm{2.5}$ MeV and $2539.4pm{4.5}pm{6.8}$ MeV respectively
reported by BABAR Collaboration. The calculated P-wave $D$ meson states,
$1^3P_2$ (2468.22 MeV), $1^3P_1$ (2404.94 MeV), $1^3P_0$ (2315.24 MeV) and
$1^1P_1$ (2367.94 MeV) are in close agreement with experimental average
(Particle Data Group) values results of $2462.6 pm 0.7 $ MeV, $2427 pm 26 pm
25$ MeV, $2318 pm 29 $ MeV and $2421.3 pm 0.6 $ MeV respectively. The
pseudoscalar decay constant ($f_P$= 202.57 MeV) of $D$ meson obtained here is
in very good agreement with the experiment as well as with the lattice and
other available theoretical predictions. The Cabibbo favoured hadronic decay
branching ratios, BR$(D^0
ightarrow K^- pi^+)$ and BR $(D^0
ightarrow K^+
pi^-)$ respectively as $3.835 \%$ and $1.069 imes 10^{-4} $ are also in very
good agreement with the experimental values (CLEO Collaboration) of $ 3.91 pm
0.08\%$ and $(1.48pm 0.07) imes 10^{-4}$ respectively. Our predicted results
in leptonic decay widths of $D$ meson are also in better accord with experiment
as well as other theoretical results. The mixing parameters of $D^0 -
ar{D}^0$ oscillation, $x_q$ (5.14 $ imes 10^{-3}$), $y_q$ (6.02 $ imes
10^{-3}$) and $R_M$ (0.313 $ imes 10^{-4}$) are in very good agreement with
BaBar and Belle Collaboration results. | | Source: | arXiv, 1412.7400 | | Services: | Forum | Review | PDF | Favorites | |
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