Higher Spin String States Scattered from D-particle in the Regge Regime and Factorized Ratios of Fixed Angle Scatterings
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.
Keywords
Cite
@article{arxiv.1101.1228,
title = {Higher Spin String States Scattered from D-particle in the Regge Regime and Factorized Ratios of Fixed Angle Scatterings},
author = {Jen-Chi Lee and Yoshihiro Mitsuka and Yi Yang},
journal= {arXiv preprint arXiv:1101.1228},
year = {2011}
}
Comments
19 pages v2. Eqs.(3.19) to (3.21) added. v3. 27 pages. example added in sec.III. final in Prog. Theo. Phys