Work

D -shell mixing in light baryons and its effect on the orbital motion

Year: 2025

Type: article

Abstract: The standard description of the nucleon in the nonrelativistic quark model is an 1 S , L = 0 state without orbital motion. Yet, there are several indications from phenomenology that an admixture of states with nonzero orbital motion maybe substantial. In this paper we focus on the “second shell” of the nucleon excitations (D-shell), for which we give a modern description of the wave functions. We follow it by investigating what we call a “maximal mixing” scenario, assuming a hypothetical long-range tensor force. We give the explicit wave functions for all states, before and after mixing, and reassess many predictions such as the magnetic moments, the standard and transitional form-factors from the nucleon to N * . Unexpectedly, in this scenario we can reproduce the long-puzzling features of the Roper resonance N * ( 1440 ) . But even in this extreme case, the admixture of the 1 D , L = 2 state to a nucleon remains significantly smaller than expected from phenomenology.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/b8cp-1pwl

Authors: Nicholas Miesch, Edward Shuryak, Ismail Zahed

Institution: Stony Brook University

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: U.S. Department of Energy, Office of Science

Awards: G2345571928, G5027663112