Momentum dependence of the N to Delta transition form factors

TL;DR

This paper introduces a new lattice QCD method to accurately determine the momentum dependence of N to Delta transition form factors, improving analysis techniques in quenched theory simulations.

Contribution

It presents a novel approach for analyzing lattice QCD data, specifically optimizing the extraction of transition form factors at various momentum transfers.

Findings

Effective determination of form factors at different Q^2 values

Improved analysis method for lattice QCD data

Validation in quenched lattice QCD at β=6.0

Abstract

We present a new method to determine the momentum dependence of the N to Delta transition form factors and demonstrate its effectiveness in the quenched theory at $\beta=6.0$ on a $32^3 \times 64$ lattice. We address a number of technical issues such as the optimal combination of matrix elements and the simultaneous overconstrained analysis of all lattice vector momenta contributing to a given momentum transfer squared, $Q^2$.