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19 April 2024
 
  » arxiv » nucl-th/9605008

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The position and the residues of the delta resonance pole in pion photoproduction
O. Hanstein ; D. Drechsel ; L. Tiator ;
Date 8 May 1996
Journal Phys.Lett. B385 (1996) 45-51
Subject nucl-th hep-ph
AbstractWe have analyzed the $M_{1+}^{(3/2)}$ and $E_{1+}^{(3/2)}$ multipole amplitudes of pion photoproduction in the framework of fixed-$t$ dispersion relations. Applying the speed plot technique to our results for these multipoles, we have determined the position and the residues of the $Delta$ (1232) resonance pole. The pole is found at total $c.m.$ energy $W = (1211 - 50i)$ MeV on the second Riemann sheet, and the ratio of the electric and magnetic residues is $R_{Delta} = - 0.035 - 0.046 i$, resulting in an E2/M1 ratio for the "dressed" delta resonance of $- 3.5 \%$.
Source arXiv, nucl-th/9605008
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