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Possible ambiguities in $pi$N phase-shift analysis

Journal Article · · Phys. Rev., D, v. 13, no. 5, pp. 1390-1404
OSTI ID:4015700
Possible ambiguities in the reconstruction of $pi$N scattering amplitudes from experimental data and the elastic unitarity condition below the threshold of inelastic processes are discussed. Discussion is restricted to partial waves with l = 0 and 1 and it is shown that certain twofold ambiguities can occur if only two experimental quantities are measured (the cross section plus polarization or one of the polarization parameters). It is also shown that these ambiguities can be removed by a further measurement, unless the polarization happens to be zero or the experiment is performed at an unfortunately chosen angle, for which both sets of amplitudes predict the same value for the corresponding experimental quantity. (AIP)
Research Organization:
Department de Mathematique, Universite de Montreal, Montreal, Quebec, Canada
NSA Number:
NSA-33-031539
OSTI ID:
4015700
Journal Information:
Phys. Rev., D, v. 13, no. 5, pp. 1390-1404, Journal Name: Phys. Rev., D, v. 13, no. 5, pp. 1390-1404; ISSN PRVDA
Country of Publication:
United States
Language:
English

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