Searcharxiv⌕ Search
Home/Archive/arXiv

arXiv · 2607.24864

Sum-Rule-Preserving Non-Factorized Transition-GPD Tomography of $N\to\Delta(1232)$ Multipole Structure

R. M. Marinaro III
View original source ↗Read source document ↗Export metadata ↓

Abstract

A sum-rule-preserving transition-GPD reconstruction is developed for the $N\to\Delta(1232)$ electromagnetic transition. The analysis uses published CLAS $\Delta(1232)$ data, including the magnetic multipole amplitude and the electric and scalar/Coulomb quadrupole ratios, together with low-$Q^2$ ratio-sector constraints. Magnetic, electric, and scalar/Coulomb transition amplitudes are derived and fitted with a common library of dipole, modified-dipole, $z$-expansion, and low-$Q^2$ motivated candidate forms. The fitted transition form factors define the empirical momentum-transfer normalization for a family of transition GPDs constructed to preserve the measured form-factor sum rule. Factorized, correlated non-factorized, Regge-like, and double-distribution-inspired profiles are transformed into impact-parameter space to obtain transverse densities, localization radii, higher transverse-shape moments, and multipole-resolved radial kernels. The factorized baseline yields little genuine $x$-dependent transverse localization, while the non-factorized profiles generate distinct $x$-dependent spatial structures under the same empirical normalization. The magnetic channel provides the most stable tomography benchmark, whereas the electric and scalar/Coulomb sectors show stronger profile sensitivity. The results demonstrate that non-factorized transition-GPD tomography can extend the factorized amplitude-to-space approach while keeping the connection to measured $N\to\Delta(1232)$ transition form factors.

Explore related subjects

hep-phnucl-th

Keep this discovery

BibTeXRIS

R. M. Marinaro III. 2026-07-26. Sum-Rule-Preserving Non-Factorized Transition-GPD Tomography of $N\to\Delta(1232)$ Multipole Structure. https://arxiv.org/abs/2607.24864

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Axionic Wormholes in Metric-Affine Gravity

The axion is a promising candidate for solving the strong CP problem. To solve this problem, the global U(1) symmetry must be preserved to a high degree of accuracy. However, it is well known that global symmetries are explicitly violated by quantum gravity effects, giving rise to what is referred to as the axion quality problem. In this paper, we investigate axionic wormholes as a source of explicit U(1) violation in Metric-Affine Gravity. This framework allows for spacetime torsion and non-metricity, which accommodate additional curvature-like and topological terms, such as the Holst and Nieh--Yan terms, that are absent from the metric and Palatini formalisms. We show that non-minimal couplings to these terms modify the wormhole dynamics and enhance the Euclidean wormhole action, thereby alleviating the axion quality problem. We also find that the viable parameter space is enlarged when two of these couplings are simultaneously present. We further identify representative parameter regions where the alleviation of the axion quality problem is compatible with inflationary constraints.

hep-ph↗
arXiv2026

Qubit-Qutrit Quantum Tomography of hadronic $\Lambda\phi$ and $\Lambda K^{\ast 0}$ systems

Quantum-information observables have emerged in recent years as new tools in nuclear and particle physics, from entanglement in top-quark pairs to spin correlations in $\Lambda\bar{\Lambda}$ production. Extending these studies to unequal-spin hadronic final states poses a fundamental challenge: the $6\times6$ density matrix of a qubit-qutrit system contains 35 independent spin parameters, but the decays of $\Lambda V$ pairs, with $V=\phi$ or $K^{*0}$, provide access to only 23 due to the hidden vector polarization from the strong decay. In this Letter, we formulate a qubit-qutrit quantum tomography (QQQT) technique for these spin-$\tfrac{1}{2}\otimes1$ systems and establish exact criteria for entanglement certification from the \textit{incomplete} density matrix. Compared with the $\Lambda\bar{\Lambda}$ system, QQQT of $\Lambda\phi$ and $\Lambda K^{*0}$ provides a new probe of nonperturbative QCD hadronization, enabling a direct comparison of the spin evolution of entangled quark pairs produced from the vacuum as they hadronize into a baryon or a vector meson.

hep-ph↗
arXiv2026

Twist decomposition of exclusive heavy meson production cross sections

We study the twist decomposition of the total cross sections for exclusive heavy vector meson electroproduction and photoproduction in the $\gamma^\ast p$ processes, within the leading logarithmic $1/x$ BFKL formalism. The Mellin transforms of the impact factors of the vector meson are calculated. We show that the higher twist contributions are strongly suppressed in the low-$x$ kinematical regime. Possible enhancement of the higher twists effects for nuclei targets is discussed.

hep-ph↗