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The pion-nucleon interaction at low energy

University of British Columbia

The π-p → γn and π-p → π⁰n reactions were studied for laboratory pion kinetic energies of 50, 66, 80, 95, 110, and 125 MeV at 9 angles between 30° and 140°, using a large Nal(Tl) detector, TINA. The results are much more accurate than previous data. The radiative capture differential cross-sections are compared with previous data and with several calculations and will specify more precisely the isoscalar amplitudes in multipole analyses. They are consistent with earlier data and confirm the principle of detailed balance, but indicate that the theoretical calculations cannot reproduce the nucleon data adequately below resonance. The charge exchange differential cross-sections are obtained by unfolding the energy spectra of the π⁰ γ-ray decay, and agree with the Karlsruhe and VPI phase-shift analyses. Pion-nucleon phase-shifts and scattering lengths are calculated and the results are in good agreement with data from the elastic scattering channels and support isospin invariance in this energy region.

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2010-07-22

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http://hdl.handle.net/2429/26770

Physics

University of British Columbia

Graduate