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Decays of Baryon Resonances in an O (3.1) Model
Author(s) -
Hamprecht B.,
Kleinert Hagen
Publication year - 1968
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19680161103
Subject(s) - physics , pseudoscalar , particle physics , baryon , meson , hadron , hyperon , nucleon , octet , pion , spins , symmetry breaking , pseudoscalar meson , form factor (electronics) , coupling (piping) , strangeness , bootstrap model , quantum mechanics , particle decay , mechanical engineering , engineering , condensed matter physics
The notion of dynamical groups [ 1 ] has been introduced into hadron physics in order to relate amplitudes of particles of many different spins. In particular the O (3.1)‐model of B ARUT and K LEINERT [ 5a , 6 ] gives the pseudoscalar form factors of all the strange and non‐strange baryons in terms of a few adjustable coupling constants and claims that they furnish a good approximation in the region of not too large physical momentum transfers. Here we report on an extensive comparison of this O (3.1)‐model with experimental information. For one such comparison we take the known partial decay widths [ 7 ] of baryon resonances into members of the nucleon and pseudoscalar meson octet. The fit which we obtain is quite good and the SU (3) symmetry breaking is described in much better agreement with experiment than in an approach which, instead of O (3.1)‐form factors, takes only the correct threshold behavior into account. Further we look at baryon decays with two final mesons and calculate theoretical Dalitz‐plots. Very good agreement with some recent results on Δ(1920) → Δ K π is achieved. Finally we give some closed functional form for the form factors which approximate the complicated O (3.1) form factors well in the region relevant for phenomenological calculations.