Effective range for K+-nucleon interaction from dispersion relations

Biswas, S. N. ; Gupta, V. (1960) Effective range for K+-nucleon interaction from dispersion relations Nuclear Physics, 21 . pp. 137-141. ISSN 0029-5582

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002955...

Related URL: http://dx.doi.org/10.1016/0029-5582(60)90038-9


An exact formula for the effective range for K+-P interaction, in the S-wave approximation, has been deduced using dispersion theoretic techniques. It is shown that if the assumption of zero effective range which is generally used for a phenomenological fit of K-N data, is valid then our analysis clearly indicates that the K-meson-hyperon relative parity must be odd (the Σ-Λ relative parity being even). The contribution of the dispersion integral over the unphysical region has been fully taken into account in the present analysis. A general discussion of the nature of the coupling is given for a non-vanishing but small effective range. The advantage of the use of the effective range formula to determine the sign of the relative parities is also pointed out.

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