Abstract
Total and differential cross sections for p̄p, pp, π ±p, K +-p and Ψp at high energies are analysed in an additive eikonal quark model. It is shown that the exceptionally small Ψp slope contradicts the Chou-Yang model at present energies but can be accounted for by a quark-quark potential with different ranges for different pairs of quarks. This leads to smaller rms radii for hadrons than those derived from e.m. formfactors, implying that the constituent quarks have formfactors. Predictions for hadron-neutron and strange and charmed hadron-nucleon scattering are derived.
Highlights
Total and differential cross sections for ~p, pp, ¢r+-p,K-+pand Cp at high energies are analysed m an additive elkonal quark model
While the systematics of total cross sections O~p > Opp > oTr-p > oTr+p> OK-p > OK+p > O¢9 > O¢ p could be attributed to different strengths of quark-quark scattering amplitudes, a more complicated mechanism is necessary to explain the identical inequalities among the forward slopes o f differential cross sections, Bw, > Bn, > ... etc
The observed e.m. formfactor of hadron F h would be given roughly by the product QhFh(t) ~--if(t)XQqFq(0, where Qq are the charges of the constituent quarks and Fq(t) are their e.m. formfactors
Summary
It Is shown that the exceptionally small Cp slope contradicts the Chou-Yang model at present energies but can be accounted for by a quark-quark potential with different ranges for different parrs of quarks. This leads to smaller rms radii for hadrons than those derived from e.m. formfactors, implying that the constituent quarks have formfactors. I,j=l where n A is the number of quarks (antiquarks) of type i in particle A and N is the number of flavours This "additive eikonal quark model" could, for example, be justified using a potential model in elkonal approximation in which case XAB is given b y oo. If we classify the quark eikonals to Lipkin [2]
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