W. W. Buck | Searcharxiv

arXiv2018

Another Look at Flavor

A new suggestion for organizing the charged pseudo scalar mesons is presented. The simple Non-relativistic (NR) potential model employs a single value of the light quark mass and determines the potential coupling constant directly from the charged pseudo scalar mesons, pion and kaon, experimental charge radii values. All other constituent quark masses are directly dependent on the light quark mass value. The model compares features of the traditional approaches to the NR quark model as well as that of a Relativistic quark model. We explore the possibility of introducing flavor as a dynamic quantum number.

hep-ph↗

arXiv1998

New Constraints on Dispersive Form Factor Parameterizations from the Timelike Region

We generalize a recent model-independent form factor parameterization derived from rigorous dispersion relations to include constraints from data in the timelike region. These constraints dictate the convergence properties of the parameterization and appear as sum rules on the parameters. We further develop a new parameterization that takes into account finiteness and asymptotic conditions on the form factor, and use it to fit to the elastic πelectromagnetic form factor. We find that the existing world sample of timelike data gives only loose bounds on the form factor in the spacelike region, but explain how the acquisition of additional timelike data or fits to other form factors are expected to give much better results. The same parameterization is seen to fit spacelike data extremely well.

hep-ph↗

arXiv1996

Form Factors of Kaon Semileptonic Decays

A calculation of the semi--leptonic decays of the kaon ($K_{l3}$) is presented. The results are direct predictions of a covariant model of the pion and kaon introduced earlier by Ito, Buck, Gross. The weak form factors for $K_{l3}$ are predicted with absolutely no parameter adjustments of the model. We obtained for the form factor parameters: $f_-(q^2=m_l^2)/f_+(q^2=m_l^2)=-0.28$ and $λ_+$= 0.028, both within experimental error bars. Connections of this approach to heavy quark symmetry will also be discussed.

hep-ph↗

arXiv1996

Unified Description of Kaon Electroweak Form Factors

A calculation of the semi--leptonic decays of the kaon ($K_{l3}$) is presented. The results are direct predictions of a covariant model of the pion and kaon introduced earlier by Ito, Buck, Gross. The weak form factors for $K_{l3}$ are predicted with absolutely no parameter adjustments of the model. We obtained for the form factor parameters: $f_-(q^2=m_l^2)/f_+(q^2=m_l^2)=-0.28$ and $λ_+$= 0.028, both within experimental error bars. Connections of this approach to heavy quark symmetry will also be discussed.

hep-ph↗