Abstract

Using the $\ensuremath{\pi}N$ phase shifts and fixed-$t$ dispersion relations we have calculated (to first order in symmetry breaking) the nucleon matrix element of the current algebra "sigma" term, and found a value of about 110 MeV. This is an order of magnitude larger than the prediction of the ${(3,{3}^{*})}^{\ensuremath{\bigoplus}}({3}^{*},3)$ model for chiral symmetry breaking and it indicates that $\mathrm{SU}(2)\ensuremath{\bigotimes}\mathrm{SU}(2)$ breaking is comparable to SU(3) breaking.

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