Nucleon resonances in the fourth resonance region

TL;DR

This study performs a comprehensive multichannel partial-wave analysis of nucleon and Delta resonances in the fourth resonance region, revealing multiple resonance states, their properties, and potential symmetry patterns.

Contribution

It provides new detailed resonance parameters and evidence for spin multiplets, including possible chiral symmetry restoration, in the high-mass nucleon resonance region.

Findings

Identification of nucleon resonances with J^P=1/2^+...7/2^+

Evidence for spin doublets and quartets of resonances

Observation of potential chiral symmetry restoration patterns

Abstract

Nucleon and $\Delta$ resonances in the fourth resonance region are studied in a multichannel partial-wave analysis which includes nearly all available data on pion- and photo-induced reactions off protons. In the high-mass range, above 1850\,MeV, several alternative solutions yield a good description of the data. For these solutions, masses, widths, pole residues and photo-couplings are given. In particular, we find evidence for nucleon resonances with spin-parities $J^P=1/2^+...7/2^+$. For one set of solutions, there are four resonances forming naturally a spin-quartet of resonances with orbital angular momentum L=2 and spin S=3/2 coupling to $J=1/2,...,7/2$. Just below 1.9\,GeV we find a spin doublet of resonances with $J^P=1/2^-$ and $3/2^-$. Since a spin partner with $J^P=5/2^-$ is missing at this mass, the two resonances form a spin doublet which must have a symmetric orbital-angular-momentum wave function with L=1. For another set of solutions, the four positive-parity resonances are accompanied by mass-degenerate negative-parity partners -- as suggested by the conjecture of chiral symmetry restoration. The possibility of a $J^P=1/2^+, 3/2^+$ spin doublet at 1900\,MeV belonging to a 20-plet is discussed.