Strong decays with the boost-corrected wave functions

TL;DR

This paper introduces a method for calculating strong decay probabilities using Lorentz-contracted wave functions, revealing an additional contraction factor that influences decay widths and aligns with experimental data.

Contribution

It presents a novel approach to decay width calculations incorporating Lorentz contraction effects in wave functions within an arbitrary dynamical scheme.

Findings

Decay widths include a contraction factor C_m(s)^2= 4m^2/s.

Comparison with experimental data shows the need for an additional 1/s dependence.

Implications for hadron decay dynamics and scattering are discussed.

Abstract

Strong decay probabilities are calculated using the Lorentz contracted wave functions of decay products, determined in the arbitrary dynamical scheme with the instantaneous interaction. It is shown that the decay width obtains an additional factor defined by the contraction coefficient $C_m(s)$, which for two-body equal mass decays is $C^2_m(s)= 4m^2/s$ , $s= E^2$. The resulting decay widths are compared to the experimental data, where in particular the $\rho(770),\rho(1450) $ decay data require an additional $1/s$ dependence of the width to fit the data. Important consequences for the dynamics of hadron decays and scattering are shortly discussed.