Dual-Resonance-Model Implications for Two-Particle Spectra in Inclusive Reactions

Abstract

We extend recent work on inclusive reactions in the dual-resonance model by using Mueller's technique on the eight-point Veneziano amplitude. The inclusive two-particle spectrum is derived in various kinematic regions, and consistency checks are carried out. We show factorization in the multi-Regge region of $f_2(p_1,p_2)$ into $f_1^{\mathrm{}\left(6\right)\mathrm{}}\left(p_1\right)f_1^{\mathrm{}\left(6\right)\mathrm{}}\left(p_2\right)$, where $f_1^{\mathrm{}\left(6\right)\mathrm{}}\mathrm{}\left(p\right)\mathrm{}$ is the single-particle spectrum derived from the six-point function. The same universal cutoff in transverse momentum derived for the single-particle spectrum appears again here. In the central region we obtain an explicit form for $f_2(p_1,p_2)$ and show asymptotic consistency with the multi-Regge region. Some properties of the azimuthal dependence of ${\overrightarrow{\mathrm{p}}}_{\perp }^1·{\overrightarrow{\mathrm{p}}}_{\perp }^2$ in the central region are derived.