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29 March 2024
 
  » arxiv » nucl-th/9703023

 Article overview


Update of the pi N --> eta N and eta N --> eta N partial-wave amplitudes
Mijo Batinic ; Ivan Dadic ; Ivo Slaus ; Alfred Svarc ; B.M.K. Nefkens ; T.-S.H. Lee ;
Date 11 Mar 1997
Subject nucl-th
AbstractA three-channel, multi-resonance, unitary model developed in 1995 is used to determine the $pi N ightarrow eta N$ and $eta N ightarrow eta N$ amplitudes using as input the latest data for the dominant $S_{11}$ $pi N$ elastic scattering partial wave following suggestions of Prof. G. Höhler. The sign error in the numerical evaluation of the dispersion integral in the original publication is eliminated. The remaining weighted data set for the $pi N ightarrow eta N$ total and differential cross sections is used as in the original publication. The correction of the numerical error influences the $eta N$ cusp effect and improves the quality of the fit to the input data. However, our new result for the $eta N$ scattering length, $a_{eta N }= (0.717 pm 0.030) + i (0.263 pm 0.025)$ fm, is a sole consequence of the correction of the $S_{11}$ input and suggests that the $eta d$ system is unbound or loosely bound.
Source arXiv, nucl-th/9703023
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