Light baryon static properties in dispersive approach

TL;DR

This paper extends dispersive analysis techniques to light baryons, enabling the extraction of static properties through spectral density solutions constrained by OPE inputs, offering a promising alternative to traditional QCD sum rules.

Contribution

It introduces a dispersive approach for baryon properties that unambiguously determines masses and residues using spectral densities and universal condensates.

Findings

Successfully determines baryon masses and residues.

Identifies universal condensates fitting multiple hadron properties.

Demonstrates advantages over conventional QCD sum rule methods.

Abstract

We extend our dispersive analyses on meson static properties to those of light baryons. The formalism treats the dispersion relation, which a baryonic correlation function obeys, as an inverse problem, solve for the involved spectral density with available operator-product-expansion (OPE) inputs directly, and extract baryon static properties from the spectral density. We observe that the simultaneous implementation of the chiral-even and chiral-odd dispersive constraints unambiguously determines baryon masses and pole residues. A common set of quark and gluon condensates, which appear in OPE factorization and are universal, is found to accommodate the masses of a $\rho$ meson, a proton and a $\Delta(1232)$ baryon. The advantage of our approach over the conventional handling of QCD sum rules is advocated. This work encourages broad applications of our nonperturbative analytical method to baryon systems.