Valence quark contribution for the gamma N -> Delta quadrupole transition extracted from lattice QCD

TL;DR

This paper extends a spectator quark model to lattice QCD to isolate valence quark contributions to the gamma N -> Delta transition, distinguishing them from pion cloud effects and improving understanding of quadrupole form factors.

Contribution

It develops a method to separate valence quark and pion cloud effects in the gamma N -> Delta transition using lattice QCD data and a modified quark model.

Findings

D-wave contributions are extracted from lattice data.

Pion cloud effects dominate physical data but are negligible in certain lattice regimes.

Enhanced understanding of quadrupole form factors in nucleon-Delta transitions.

Abstract

Starting with a spectator quark model developed for the nucleon (N) and the Delta in the physical pion mass region, we extend the predictions of the reaction gamma N -> Delta to the lattice QCD regime. The quark model includes S and D waves in the quark-diquark wavefunctions. Within this framework it is the D-wave part in the Delta wavefunction that generates nonzero valence contributions for the quadrupole form factors of the transition. Those contributions are however insufficient to explain the physical data, since the pion cloud contributions dominate. To separate the two effects we apply the model to the lattice regime in a region where the pion cloud effects are negligible, and adjust the D-state parameters directly to the lattice data. This process allows us to obtain a better determination of the D-state contributions. Finally, by adding a simple parametrization of the pion cloud we establish the connection between the experimental data and the lattice data.