3-HADRON FORM-FACTOR VIA QUARK-TRIANGLE LOOP

An explicit construction in a manifestly Lorentz-invariant and cyclically symmetric form is given for a three-hadron (H) coupling through their respective (<q(q)over bar>) constituents interacting via a quark triangle loop under the most general conditions of unequal mass kinematics at both the elementary quark and composite-hadron levels. The only ansatz employed is that the Hq(q) over bar vertex function Gamma(H) at each vertex i is a function of (q) over cap(i), the relative momentum transverse to the corresponding hadron momentum P-i, an assumption which can be justified from several independent angles. The resulting structure Gamma(H) approximate to D((q) over cap)circle times 0 (q) over cap, with D((q) over cap) being a model-independent function, has proved crucial for an explicit integration over the time-like component of the loop momentum, and thus provided an analytical, cyclically symmetric structure free of overlapping pole singularities. The applicational potential of this quantity is outlined.