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.

19 pages v2. Eqs.(3.19) to (3.21) added. v3. 27 pages. example added in sec.III. final in Prog. Theo. Phys

References in corpus (8)

• The Pomeron and Gauge/String Duality
• Patterns of High energy Massive String Scatterings in the Regge regime
• Scatterings of Massive String States from D-brane and Their Linear Relations at High Energies
• Linear Relations of High Energy Absorption/Emission Amplitudes of D-brane
• Massive Superstring Scatterings in the Regge Regime
• High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
• BFKL Pomeron in string models
• Regge Closed String Scattering and its Implication on Fixed angle Closed String Scattering

Cited by in corpus (6)

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• Review on High energy String Scattering Amplitudes and Symmetries of String Theory
• High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
• To see Symmetry in a Forest of Trees
• Witten's Cubic Open String Field Theory on multiple $Dp$-branes
• String Scattering Amplitudes in High Energy Limits