DAUGHTER SEQUENCES IN UNEQUAL-MASS VECTOR-MESON-SCALAR-MESON SCATTERING

We study the requirements of Mandelstam analyticity at zero energy in unequal-mass vector-meson-scalar-meson elastic scattering. Daughter sequences of Regge poles are required, and we study their properties. By factorization we determine how the sequences couple to an equal-mass vector-scalar channel, and establish that the sequences correspond to M=0 and M=1 Toller poles. We find how analyticity relates the slopes and second derivatives of the trajectories at t=0 for both M=0 and M=1 [breaking of O(4) symmetry by nonzero energy]. We study the first two leading terms of the daughter residues at t=0 [breaking of O(4) symmetry by unequal external masses and nonzero energy]. The roles of factorization and the equal-mass conspiracy relation are central in our work. © 1969 The American Physical Society.