Electromagnetic $N-\Delta(1232)$ transitions within the point-form of relativistic quantum mechanics

TL;DR

This paper calculates the electromagnetic transition amplitudes between nucleons and the Delta(1232) resonance using point-form relativistic quantum mechanics, successfully matching experimental data across a range of momentum transfers.

Contribution

It introduces a relativistic calculation framework for N-Delta transitions within the point-form approach, providing improved theoretical predictions.

Findings

Good agreement with experimental data for transition amplitudes

Accurate reproduction of the Q^2 dependence of data

Relativistic effects are crucial for describing the transition amplitudes

Abstract

The electromagnetic $N-\Delta(1232)$ transition amplitudes are calculated using the point-form of relativistic quantum mechanics. The relativistic effects incorporated in the electromagnetic matrix elements give a good description of the transition amplitudes to the $\Delta(1232)$ resonance, reproducing well the $Q^2$ behaviour of the data, apart from the low $Q^2$ one.