New analysis for Nucleon Form Factors from GPDs

TL;DR

This paper introduces a new ansatz, AMA25, for extracting nucleon GPDs, demonstrating improved fit quality, theoretical consistency, and stability over previous models using modern computational tools.

Contribution

The study presents AMA25, a novel ansatz for GPDs, with enhanced performance and stability, advancing nucleon structure analysis.

Findings

AMA25 achieves a lower reduced χ² compared to previous models.

AMA25 better satisfies theoretical constraints.

AMA25 shows improved stability in the exclusive region.

Abstract

Generalized Parton Distributions (GPDs) provide a comprehensive framework for describing the three-dimensional structure of the nucleon. Extracting GPDs from experimental data requires flexible and physically motivated ansatz. In this study, we introduce a new ansatz, AMA25, designed to address the limitations of the previous model, GSAMA24 (Phys. Rev. C 111 (2025) 2, 025203). We conduct a fast and efficient comparison by fitting AMA25 models and other relevant data using the iMinuit optimization package within a Jupyter Notebook environment. The AMA25 ansatz demonstrates superior fit quality, achieving a reduced $\chi^2$, while better satisfying theoretical constraints. Additionally, AMA25 exhibits enhanced stability when extrapolated to the exclusive region. Our analysis highlights the power of modern computational tools for rapid model validation and underscores the importance of innovative ansatz in advancing nucleon structure studies.