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Wave functions of (I,JP) = (\tfrac12,\tfrac32^∓) baryons

2022/08/25 by Langtian Liu, Chen Chen, Liu, Langtian +3
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th) #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2208.12353

openalex publication_date 2022/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using a Poincaré-covariant quark+diquark Faddeev equation, we provide structural information on the four lightest (I,JP)=(\tfrac12,\tfrac32^∓) baryon multiplets. These systems may contain five distinct types of diquarks; but in order to obtain reliable results, it is sufficient to retain only isoscalar-scalar and isovector-axialvector correlations, with the latter being especially important. Viewed with low resolution, the Faddeev equation description of these states bears some resemblance to the associated quark model pictures; namely, they form a set of states related via orbital angular momentum excitation: the negative parity states are primarily \mathsf P-wave in character, whereas the positive parity states are \mathsf D wave. However, a closer look reveals far greater structural complexity than is typical of quark model descriptions, with \mathsf P, \mathsf D, \mathsf S, \mathsf F waves and interferences between them all playing a large role in forming observables. Large momentum transfer resonance electroexcitation measurements can be used to test these predictions and may thereby provide insights into the nature of emergent hadron mass.

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