Quartet of spin-3/2baryons in the chiral multiplet(1,1/2)⊕(1/2,1)with mirror assignment

2010/03/31 by Keitaro Nagata
Chemistry · Mathematics · Physics and Astronomy · #Algorithm #Baryon #Black Holes and Theoretical Physics #Chemistry #Combinatorics #Coupling (piping) #Crystallography #Lagrangian #Materials science #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Spin (aerodynamics) #Thermodynamics #hep-ex #hep-ph #nucl-ex #nucl-th

paper · pdf · doi:10.1103/physrevd.82.034007

published as Phys.Rev.D82:034007,2010 · 23 pages, 1figures, 6tables. Published in Phys.Rev.D82:034007,2010

openalex publication_date 2010/08/09 · arxiv created 2010/09/05 · arxiv updated 2010/09/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the possible existence of chiral partners in the spin-(3)/(2) sector of the baryon spectrum. We consider a quartet scheme where four spin-(3)/(2) baryons, P₃₃, D₃₃, D₁₃, and P₁₃, group into higher-dimensional chiral multiplets (1,(1)/(2))\ensuremath\bigoplus((1)/(2),1) with a mirror assignment. With an effective SU(2)_R\ifmmode×\else\texttimes\fiSU(2)_L Lagrangian, we derive constraints imposed by chiral symmetry together with the mirror assignment on the masses and coupling constants of the quartet. Using the effective Lagrangian, we try to find a set of baryons suitable for the chiral quartet. It turns out that two cases reasonably agree with the mass pattern of the quartet: (\ensuremathΔ(1600), \ensuremathΔ(1940), N(1520), N(1720)) and (\ensuremathΔ(1920), \ensuremathΔ(1940), N(2080), N(1900)).

Citations

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