Composition of low-lying J=3/2 +/- Delta-baryons

PHYSICAL REVIEW D(2022)

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摘要
Lambda Poincare-covariant quark + diquark Faddeev equation is used to develop insights into the structure of the four lightest (I, J(P) =3/2, 3/2 +/-) baryon multiplets. While these systems can contain isovector-axialvector 2 and isovector-vector diquarks, one may neglect the latter and still arrive at a reliable description. The (3/2, 3/2 +/-) states are the simpler systems, with features that bear some resemblance to quark model pictures, e.g., their most prominent rest-frame orbital angular momentum component is S-wave and the Delta(1600)3/2+ may reasonably be viewed as a radial excitation of the Delta(1232)3/+. The (3/2, 3/2-) states are more complex: the Delta(1940)3/2- expresses little of the character of a radial excitation of the Delta(1700)3/2-; and while the rest frame wave function of the latter is predominantly P-wave, the leading piece in the Delta(1940)3/2- wave function is S-wave, in conflict with quark model expectations. Experiments that can test these predictions, such as large momentum transfer resonance electroexcitation, may shed light on the nature of emergent hadron mass.
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