2004/12/23 by M. Baldicchi, G. M. Prosperi · 1 citation
Engineering · Physics and Astronomy · #Computer science #Constant (computer programming) #Coupling (piping) #Coupling constant #Engineering #High-Energy Particle Collisions Research #Meson #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Spectrum (functional analysis) #hep-ph
paper · pdf · doi:10.1063/1.1920942
10 pages, 2 figures, conference: Quark Confinement and the Hadron Spectrum VI, Villasimius, Cagliari, Italy
arxiv created 2004/12/23 · openalex publication_date 2005/01/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In line with some previous works, we study in this paper the meson spectrum in the framework of a second order quark‐antiquark Bethe‐Salpeter formalism which includes confinement. An analytic one loop running coupling constant αs(Q), as proposed by Shirkov and Sovlovtsov, is used in the calculations. As for the quark masses, the case of a purely phenomenological running mass for the light quarks in terms of the c. m. momentum is further investigated. Alternatively a more fundamental expression mP(Q) is introduced for light and strange quarks, combining renormalization group and analyticity requirements with an approximate solution of the Dyson‐Schwinger equation. The use of such running coupling constant and masses turns out to be essential for a correct reproduction of the the light pseudoscalar mesons.