Mass spectra and decay properties of $D$ Meson in a relativistic Dirac formalism

Shah, Manan; Patel, Bhavin; Vinodkumar, P.C.

doi:10.1140/epjc/s10052-016-3875-5

Mass spectra and decay properties of $D$ Meson in a relativistic Dirac formalism

Dec 23, 2014

25 pages

Published in:

Eur.Phys.J.C 76 (2016) 1, 36

Published: Jan 22, 2016

e-Print:

1412.7400 [hep-ph]

DOI:

10.1140/epjc/s10052-016-3875-5

View in:

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Abstract: (Springer)

For the present study, we have used the Martin-like potential for the quark confinement. Our predicted states in the S-wave,

2\ ^3S_1

(2605.86 MeV) and

2\ ^1S_0

(2521.72 MeV), are in very good agreement with experimental results of

2608\pm 2.4 \pm 2.5

MeV and

2539.4\pm 4.5\pm 6.8

MeV, respectively, reported by the BABAR Collaboration. The calculated P-wave D meson states,

1^3P_2

(2462.50 MeV),

1^3P_1

(2407.56 MeV),

1^3P_0

(2373.82 MeV) and

1^1P_1

(2423.28 MeV), are in close agreement with experimental average (Particle Data Group) values 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 the D meson is in very good agreement with the experiment as well as with the lattice predictions. The Cabibbo favoured nonleptonic decay branching ratios, BR

(D^0\rightarrow K^- \pi ^+)

of

4.071\,\%

and BR

(D^0\rightarrow K^+ \pi ^-)

of

1.135 \times 10^{-4}

, are also in very good agreement with the respective experimental values of

3.91 \pm 0.08\,\%

and

(1.48\pm 0.07) \times 10^{-4}

reported by CLEO Collaboration. The mixing parameters of the

D^0

–

\bar{D}^0

oscillation,

x_q

(5.14

\times 10^{-3}

),

y_q

(6.02

\times 10^{-3}

) and

R_M

(3.13

\times 10^{-5}

), are in very good agreement with BaBar and Belle Collaboration results.

Note:

26 Pages, 10 Tables, 3 figures,. arXiv admin note: substantial text overlap with arXiv:1402.4227; text overlap with arXiv:hep-ex/0606040 by other authors

quark: confinement
potential
partial wave analysis
meson: hadron spectroscopy
D0: hadronic decay
D0: leptonic decay
decay constant: pseudoscalar
D0: branching ratio
D0 anti-D0: oscillation
quantum chromodynamics: sum rule

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