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.

arXiv comment11 pages, no figures. arXiv admin note: text overlap with arXiv:2004.11466

References in corpus (23)

• Higher Charmonia
• On the Mechanism of Open-Flavor Strong Decays
• The $\xi (2220)$ Revistited
• The Feynman-Schwinger representation in QCD
• Relativistic instant-form approach to the structure of two-body composite systems (short version)
• Relativistic instant-form approach to the structure of two-body composite systems
• The radius of the rho meson determined from its decay constant
• Di-Pion Decays of Heavy Quarkonium in the Field Correlator Method
• Relativistic path integral and relativistic Hamiltonians in QCD and QED
• Relativistic Instant--Form Approach to the Structure of Two-Body Composite Systems. II. Nonzero Spin
• Relativistic Instant--Form Approach To The Structure Of Two-Body Composite Systems. Nonzero Spin
• Hydrogen Atom in Relativistic Motion
• Field Correlator Method for the confinement in QCD
• New spectral representation and evaluation of f_πand the quark condensate <\bar q q> in the terms of string tension
• Magnetic moment of the rho meson in instant-form relativistic quantum mechanics
• Relativistic theory of string breaking in QCD
• Boosting equal time bound states
• Boosting QED and QCD bound states in the path integral formalism
• QED spectra in the path integral formalism
• Scalar mesons in the chiral theory with quark degrees of freedom
• Lorentz Contraction of Bound States in 1+1 Dimensional Gauge Theory
• Exact relativistic Green's functions for the time-independent potentials
• Nonperturbative mechanisms of strong decays in QCD

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