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Higher Spin String States Scattered from D-particle in the Regge Regime and Factorized Ratios of Fixed Angle Scatterings

2011/01/31 by Jen-Chi Lee, Yoshihiro Mitsuka, Yi Yang
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1143/ptp.126.397

published as Prog. Theor. Phys. 126 (2011), 397-417 · 19 pages v2. Eqs.(3.19) to (3.21) added. v3. 27 pages. example added in sec.III. final in Prog. Theo. Phys

arxiv created 2011/09/13 · arxiv updated 2011/11/03

Abstract

We study scattering of higher spin closed string states at arbitrary mass levels from D-particle in the Regge regime. We extract the infinite ratios among high-energy amplitudes of different string states in the fixed angle regime from these Regge string scattering amplitudes. In this calculation, we have used an identity proved recently based on a signless Stirling number identity in combinatorial theory. The complete ratios calculated by this indirect method include a subset of ratios calculated previously by direct fixed angle calculation. Moreover, we discover that in spite of the non-factorizability of the closed string D-particle scattering amplitudes, the complete ratios derived for the fixed angle regime are found to be factorized. These ratios are consistent with the decoupling of high-energy zero norm states calculated previously.

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