Strong decays with the boost-corrected wave functions

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 $C_m^2(s)=4m^2/s$ , $s=E^2$. 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.

Comments: 11 pages, no figures. arXiv admin note: text overlap with arXiv:2004.11466