Duality condition for s- and t-channel exchange in nucleon-nucleon scattering

TL;DR

This paper establishes conditions under which nucleon-nucleon interactions modeled by t-channel meson exchange are equivalent to s-channel six-quark bag exchanges, highlighting a duality based on the properties of the D function.

Contribution

It provides a theoretical framework linking t-channel meson exchange and s-channel six-quark bag exchange in nucleon-nucleon scattering through duality conditions.

Findings

Duality depends on the pattern of zeros and poles of the D function.

Conditions involve the non-negativity of the imaginary part of D.

CDD poles are identified as the only poles of D.

Abstract

We specify conditions under which the nucleon-nucleon interaction, based on the t-channel meson-exchange mechanism, is equivalent to an interaction generated via an s-channel exchange of six-quark bags. The duality is possible provided the alternation of zeros and poles of the non-dispersive part of D function takes place in the normalization where the imaginary part of D is non-negative and the CDD poles are the only poles of D.