Abstract:
In the framework of a potential model a representation is established for the on-shell
partial-wave scattering amplitude, this representation making it possible to formulate
a system of equations for calculating the phase shifts and, using the fairly general
requirements of $S$-matrix theory, generalize the method to the relativistic case. The
representation can be applied to the problem of taking into account meson and quarkgluon
degrees of freedom in hadron-hadron scattering. The connection between the
method and the Jaffe–Low $P$-matrix formalism is established, and this makes it
possible to relate the parameters that arise in the solution of the dispersion relations
for the partial-wave amplitudes to quantities that can be calculated in the quark bag
model. The proposed approach can also be regarded as an alternative to the
Feshbach–Lomon boundary condition method.
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