Connected Parts of Decuplet Electromagnetic Properties
B. C. Tiburzi
TL;DR
This paper calculates electromagnetic properties of decuplet resonances using chiral perturbation theory, focusing on connected contributions and providing methods to isolate these from disconnected contractions relevant for lattice QCD.
Contribution
It introduces a technique to separate connected and disconnected contributions in electromagnetic property calculations of decuplet resonances.
Findings
Connected contributions can be isolated using a partially quenched charge matrix.
Linear combinations of resonance and hyperon properties are independent of disconnected contractions.
The approach facilitates comparison between lattice QCD results and chiral perturbation theory.
Abstract
We determine the electromagnetic properties of decuplet resonances using chiral perturbation theory at next-to-leading order. Utilizing a partially quenched charge matrix, we isolate and remove the quark disconnected contractions. This allows us to compare the physical meson loop contributions to the connected contributions, of which the latter are currently calculated using lattice QCD. Finally we determine linear combinations of decuplet resonance and hyperon electromagnetic properties that are exactly independent of disconnected contractions in the isospin limit.
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