Transition magnetic moment of $\Lambda$ $\to$ $\Sigma^0$ in QCD sum rules

TL;DR

This paper calculates the transition magnetic moment between Lambda and Sigma0 baryons using QCD sum rules, analyzing multiple tensor structures and employing Monte Carlo methods to ensure accuracy.

Contribution

It introduces a comprehensive QCD sum rules approach with three tensor structures and Monte Carlo analysis for the Lambda to Sigma0 transition magnetic moment.

Findings

Predicted transition magnetic moment: 1.60 ± 0.07 μ_N

Analyzed tensor structures and sum rule relations

Compared results with existing literature

Abstract

The $\Lambda$ $\to$ $\Sigma^0$ transition magnetic moment is computed in the QCD sum rules approach. Three independent tensor structures are derived in the external field method using generalized interpolating fields. They are analyzed together with the $\Lambda$ and $\Sigma^0$ mass sum rules using a Monte-Carlo-based analysis, with attention to OPE convergence, ground-state dominance, and the role of the transitions in the intermediate states. Relations between sum rules for magnetic moments of $\Lambda$ and $\Sigma^0$ and sum rules for transition magnetic moment of $\Lambda$ $\to$ $\Sigma^0$ are also examined. Our best prediction for the transition magnetic moment is $\mu_{\Sigma^0\Lambda}= 1.60\pm 0.07\; \mu_N$. A comparison is made with other calculations in the literature.