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3.2 Slope parameters

To get an idea of the spatial dimensions of (and charge distribution inside) strictly neutral hadrons, one has to extend the above considerations from elastic to transition form factors. Their -slope at , known as the slope parameter , is defined through

Quite frequently, it is expressed in terms of a parameter , having mass-dimensions and verifying . The slope parameter has essentially the same meaning as in the previous case of charge radii, apart from the factor of 6 in the definition.

Slope parameters for the transition form factors, with and , have been measured ( in the range or, equivalently, in the range) indicating that their dimensions are quite compatible (once one accounts for the factor of 6) with those previously discussed for their SU(3)-partners. In both cases, one measures the spatial region where the electromagnetically active hadron constituents can be found. In the first, charge-radius case one has to deal with electrostatic or Coulombic interactions, while, in the later transitions, magnetic interactions are involved with quark-spin flipping and annihilations.



Carlos E.Piedrafita