Regularization of the Roy Equations with a Smooth Cut-OffAtkinson, D., Pool, T. P. & Slim, H. A., 1977, In : Journal of Mathematical Physics. 18, 12, p. 2407-2413 7 p.
Research output: Contribution to journal › Article › Academic › peer-review
The Roy equations for ππ scattering are combined with unitarity to give a nonlinear system of equations for the determination of the low‐energy amplitudes. A Hölder continuous interpolation between the input high‐energy absorptive parts and the output low‐energy absorptive parts is implemented; and the resultant singular equations are regularized by means of an effective inelastic N/D method. If the scattering lengths, the CDD parameters, and the high‐energy absorptive parts satisfy certain constraints, then there exists a locally unique solution of the system.
|Number of pages||7|
|Journal||Journal of Mathematical Physics|
|Publication status||Published - 1977|
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