Export citation

Export citation

Choose format for download:

Download Citation

    Absorption Picture as a Consequence of Multi-Regge Iteration of Low-Energy Peripheral Resonances

    Bipin R. Desai

    • Department of Physics, University of California, Riverside, California 92502

    Phys. Rev. D 6, 3241 – Published 1 December, 1972

    DOI: https://doi.org/10.1103/PhysRevD.6.3241

    Abstract

    Using the empirical fact that the dominant low-energy resonances are peripheral (i.e., they satisfy the relation js+12=kR≈12Rs), the imaginary part, A0(s,t), of the low-energy amplitude is written in the factorized form F(s)J0(R−t). The resonance contribution to F(s) near the resonance position is ≈(2js+1), which is ≈s12; and thus the well-known value for the vector-tensor trajectory intercept of ≈12 follows simply from peripherality. From finite-energy sum rules the residue of the trajectory is ≈J0(R−t). The quantity A0(s,t), which in the t channel corresponds to a fixed pole at jt=12, through the multi-Regge iteration gives rise to a moving pole; and the imaginary part of the total ππ amplitude A(s,t) with It=1 satisfies the dual absorption result, sαJ0(R−t). A crude estimate gives α(0)≈12+(Γρmρ) (=0.6) and α′(0)≈14(Γρmρ)R2(=1.0 BeV−2 for R=1F). Thus, for non-diffractive processes, the multi-Regge (or multiperipheral) model is consistent with the absorption picture and as a consequence an approximate bootstrap solution is obtained. The physical interpretation in terms of j-plane cuts is discussed.

    Authorization Required

    We need you to provide your credentials before accessing this content.

    References (Subscription Required)

    Outline

    Information

    Sign In to Your Journals Account

    Filter

    Filter

    Article Lookup

    Enter a citation