Geodesic
Equations for on-shell partial-wave amplitudes in the boundary condition model
Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 1, pp. 97-104

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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. 
@article{TMF_1985_62_1_a6,
     author = {A. N. Safronov},
     title = {Equations for on-shell partial-wave amplitudes in the boundary condition model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {97--104},
     publisher = {mathdoc},
     volume = {62},
     number = {1},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a6/}
}
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A. N. Safronov. Equations for on-shell partial-wave amplitudes in the boundary condition model. Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 1, pp. 97-104. http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a6/