arXiv subjects

L. Beldjoudi

Publications and source records attributed to L. Beldjoudi.

3 recordsLinked to original sources

arXiv1994

Application of Current Algebra in Three Pseudoscalar Meson Decays of $τ$ Lepton

The decays of $τ\to 3πν$ and $τ\to πK^{*} ν, Kρν$ are calculated using the hard pion and kaon current algebra and assuming the Axial-Vector meson dominance of the hadronic axial currents. Using the experimental data on their masses and widths, the $τ$ decay branching ratios into these channels are calculated and found to be in a reasonable agreement with the experimental data. In particular, using the available Aleph data on the $3π$ spectrum, we determine the $A_1$ parameters, $m_A=1.24\pm 0.02 GeV$, $Γ_A=0.43\pm 0.02$ GeV; the hard current algebra calculation yields a $3π$ branching ratio of $19 \pm 3 \%$.

hep-ph↗

arXiv1994

$τ\to πK ν$ Decay and $πK$ Scattering

Using chiral low energy theorems and elastic unitarity assumption, the $τ\toπK ν$ decay is investigated. The vector and scalar $πK$ form factors are calculated. It is found that the $πK$ spectrum is dominated by the $K^*$ resonance. By measuring the forward-backward asymmetry, it is shown that the S wave $πK$ phase shift can be determined near the $K^{*}$ resonance region. The calculated branching ratio and resonance parameters are in good agreement with experiments.

hep-ph↗

arXiv1994

$ππ$ Scattering and Pion Form Factors

The S and P wave $ππ$ phase shifts are recalculated in terms of two phenomenological parameters using the one loop CPTh and the elastic unitarity condition. Using these phase shifts, the vector and scalar form factors are calculated and shown to be in a good agreement with experimental data. It is found that the simpler and more phenomenological approach, where the left hand cut contributions to the partial wave amplitude are neglected, yields approximately the same result.

hep-ph↗