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The pion nucleon coupling constant

  • experimental physics
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Abstract.

The latest \({\rm\pi} N\) elastic scattering data are re-analysed to determine the coupling constant g c of the charged pion, using the dispersion relation for the invariant amplitude B (+ ). Depending on the choice of data-base, values \(g^2_c/4{\rm\pi} = 13.80\) to 13.65 are obtained with errors of \(\pm 0.12\). The mass difference between charge states of \(\Delta (1232)\) is \(M^0 -M^{ + + } = 2.0 \pm 0.4\) MeV, close to twice the mass difference between neutron and proton. The difference in widths on resonance is \(\Gamma^0 - \Gamma^{ + + } = 3.8 \pm 1.0\) MeV. One may account for a width difference of 4.5 MeV from phase space for decays and the extra channel \(\Delta^0 \to \gamma n\).

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Authors and Affiliations

  1. Queen Mary, University of London, E1 4NS, London, UK

    D. V. Bugg

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  1. D. V. Bugg
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Received: 21 January 2004, Published online: 3 March 2004

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Bugg, D.V. The pion nucleon coupling constant. Eur. Phys. J. C 33, 505–509 (2004). https://doi.org/10.1140/epjc/s2004-01666-y

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