2011/03/31 by Kyungil Kim, Kyung-il Kim, Daisuke Jido +1 · 22 citations
Mathematics · Physics and Astronomy · #Baryon #Combinatorics #Diquark #Duality (order theory) #Hadron #High-Energy Particle Collisions Research #Lambda #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Sum rule in quantum mechanics #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevc.84.025204
published in Physical Review C 84(2) (American Institute of Physics) · 4 pages, 4 figures, revised version published in Phys. Rev. C
openalex publication_date 2011/08/26 · arxiv created 2011/08/30 · arxiv updated 2011/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a phenomenological QCD sum rule with an explicit diquark field to investigate the essential ingredients inside the hadrons. By introducing the mass m_\ensuremathφ and the condensate \ensuremath⟨\ensuremathφ2\ensuremath⟩ for the diquark field as parameters in the model, we find that the sum rule works well for \ensuremathΛ, \ensuremathΛc, and \ensuremathΛb. This implies that these \ensuremathΛ baryons can be represented by a diquark and a quark configuration. We also find that there is a duality relation among the parameters (m_\ensuremathφ,\ensuremath⟨\ensuremathφ2\ensuremath⟩) for which the sum rule is equally good. In the limit when \ensuremath⟨\ensuremathφ2\ensuremath⟩=0, we find m_\ensuremathφ=400 MeV, which can be thought of as the constituent diquark mass.