New representation for the odderon wave function
G. P. Korchemsky (Laboratoire de Physique Theorique, Orsay), J., Wosiek (Institute of Physics, Jagellonian University, Cracow)
TL;DR
This paper introduces a novel, convergent representation of the odderon wave function that enables analytic quantization conditions and simplifies eigenvalue calculations through a new quantum number and conformal basis.
Contribution
It presents a new convergent representation of the odderon wave function, introduces the quantum number triality, and simplifies eigenvalue computations.
Findings
Derived a convergent wave function representation across the impact parameter plane.
Identified a new quantum number called triality.
Simplified the calculation of eigenvalues for various operators.
Abstract
New representation of the odderon wave function is derived, which is convergent in the whole impact parameter plane and provides the analytic form of the quantization condition for the integral of motion q_3. A new quantum number, triality, is identified. This, together with the choice of the conformal basis, allows for simple calculation of eigenvalues of a wide class of operators.
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