Construction of a unitary analytic scattering amplitude (V). π+ p scattering

Starting from the 1974 Saclay phase-shift analysis, we construct π + p continuum ambiguities that leave unchanged the total cross section, the differential cross section, and the polarization. We find that most of the resonant structures are stable, but that alternative solutions are possible that l...

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Published inNuclear physics. B Vol. 109; no. 2; pp. 322 - 346
Main Authors Atkinson, D., Heemskerk, A.C., Swierstra, S.D.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.1976
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ISSN0550-3213
1873-1562
DOI10.1016/0550-3213(76)90210-8

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Summary:Starting from the 1974 Saclay phase-shift analysis, we construct π + p continuum ambiguities that leave unchanged the total cross section, the differential cross section, and the polarization. We find that most of the resonant structures are stable, but that alternative solutions are possible that lack the second S 31 or the G 39 resonances. The second P 33 resonance may be moved considerably, but not killed, while the mass and width of the three-star P 31 resonance are also subject to appreciable changes. We suggest that disagreements between different groups concerning the existence of weak resonances, or concerning the masses and widths of stronger ones, may be caused by the existence of the continuum ambiguity.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(76)90210-8