Nucleon viewed as a Borromean Bound-State
Abstract
We explain how the emergent phenomenon of dynamical chiral symmetry breaking ensures that Poincar\'e covariant analyses of the three valence-quark scattering problem in continuum quantum field theory yield a picture of the nucleon as a Borromean bound-state, in which binding arises primarily through the sum of two separate contributions. One involves aspects of the non-Abelian character of Quantum Chromodynamics that are expressed in the strong running coupling and generate tight, dynamical color-antitriplet quark-quark correlations in the scalar-isoscalar and pseudovector-isotriplet channels. This attraction is magnified by quark exchange associated with diquark breakup and reformation, which is required in order to ensure that each valence-quark participates in all diquark correlations to the complete extent allowed by its quantum numbers. Combining these effects, we arrive at a properly antisymmetrised Faddeev wave function for the nucleon and calculate, e.g. the flavor-separated versions of the Dirac and Pauli form factors and the proton's leading-twist parton distribution amplitude. We conclude that available data and planned experiments are capable of validating the proposed picture.
Cite
@article{arxiv.1801.04718,
title = {Nucleon viewed as a Borromean Bound-State},
author = {Jorge Segovia and Cédric Mezrag and Lei Chang and Craig D. Roberts},
journal= {arXiv preprint arXiv:1801.04718},
year = {2018}
}
Comments
Contribution to the proceedings of the Workshop: Critical Stability of Quantum Few-Body Systems (Crit17). Oct. 16-20, 2017. Dresden, Germany