Phenomenological 
amplitude and analysis of
low energy data on total cross sections and 1-D distributions
A.A. Bolokhov1 - M.V. Polyakov2 - S.G. Sherman2
1 Sankt-Petersburg State University, Sankt-Petersburg, 198904, Russia
2 St. Petersburg Institute for Nuclear Physics, Sankt-Petersburg, 188350, Russia
Received: 11 November 1997 Communicated by V.V. Annisovich
Abstract
We develop the phenomenological amplitude
of the
reaction
taking into account the exchanges of
and
N(*)
along with the OPE mechanism
and the polynomial background
derived with the account of
isotopic, crossing,
C,
P
and
T
symmetries of strong interactions.
The data base
consisting of total cross sections
in the energy region
MeV/c
and 1D distributions from the bubble-chamber
experiments
was used
to determine
free parameters of the amplitude.
For the first time
there was found an amplitude equally well
describing the
broad
variety of different
data in all reaction channels.
The best solutions are characterized by
1.16,
N = 411.
The isobar exchanges are found to be more
important than OPE
at the
considered energies.
Despite this
the parameters of OPE
are statistically significant;
however,
the
-scattering
lengths
appear different in different solutions.
PACS
13.75.-n Hadron-induced low- and intermediate-energy reactions and scattering
(energy 
10 GeV) -
13.75.Gx Pion-baryon interaction -
13.75.Lb Meson-meson interaction
Copyright Springer-Verlag
