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Bosonic operator methods for the quark model

2004/04/14 by Aneesh V. Manohar · 10 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algorithm #Baryon #Black Holes and Theoretical Physics #Computation #Harmonic oscillator #Holomorphic function #Mathematical physics #Mathematics #Matrix (chemical analysis) #Matrix representation #Operator (biology) #Operator matrix #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Quark model #Representation (politics) #Spectrum (functional analysis) #Theoretical physics #hep-ph

paper · pdf · doi:10.1103/physrevd.70.014004

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 70(1) (American Physical Society)

arxiv created 2004/04/14 · openalex publication_date 2004/07/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Quark model matrix elements can be computed using bosonic operators and the holomorphic representation for the harmonic oscillator. The technique is illustrated for normal and exotic baryons for an arbitrary number of colors. The computations are much simpler than those using conventional quark model wave functions.

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