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2.4 Other form factors

A potentially interesting case involves the reaction, where an elusive neutral scalar S ( or ) is produced. Its observation could certainly contribute to solve the old controversy concerning the nature or quark-content of these scalars. The corresponding gauge invariant structure is easily found to be

 

For the VS transitions, not restricted now by the gauge invariance of the final photon, two form factors are possible, each one affecting independently one of the two terms in eq.(8).

The number of independent form factors increases when higher spins are considered. Three of them completely describe the production of vector-meson pairs, , such as . The situation is kinematically similar to that for the W gauge bosons and suggests the association of the three form factors to the electric charge, dipole magnetic moment and quadrupolar electric moment distributions inside those vector-mesons.



Carlos E.Piedrafita