Abstract
A method is worked out for determining the position of low-energy P, D-resonances of an arbitrary two-particle system with a strong interaction on the assumption that the values of the partial-wave amplitude and its first derivative are known in one points F =s 0. This is made possible by the modification of Balázs' N/D method for two unknown parametersF l i using the elastic approximation.
Although the otherl-states of the system in the functionN I l are generally contained in the three- or two-pole form mentioned, in spite of the asymptotic behaviour of the amplitudes they cannot be consistent with the approximation used.
The explicit solution with a generally given subtraction points 0 is carried out for the pionnucleon system.
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References
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Sachl, V. Self-consistent approach to low-energy resonance. Resonances of πN system. Czech J Phys 15, 1–9 (1965). https://doi.org/10.1007/BF01688350
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DOI: https://doi.org/10.1007/BF01688350