Pion and sigma meson properties in a relativistic quark model

2003/04/30 by Amand Faessler, Th. Gutsche, M. A. Ivanov +3 · 2 citations
Physics and Astronomy · #Constituent quark #Electroweak interaction #High-Energy Particle Collisions Research #Meson #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Quark model #Rho meson #Scalar (mathematics) #Scalar meson #Sigma #Sigma model #hep-ph

paper · pdf · doi:10.1103/physrevd.68.014011

published as Phys.Rev. D68 (2003) 014011 · 46 pages

arxiv created 2003/06/03 · openalex publication_date 2003/07/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A variety of strong and electroweak interaction properties of a pion and a light scalar \ensuremathσ meson are computed in a relativistic quark model. Under the assumption that the resulting coupling of these mesons to the constituent quarks is identical, the \ensuremathσ meson mass is determined as M_\ensuremathσ=385.4MeV. We discuss in detail the gauging of the nonlocal meson-quark interaction and calculate the electromagnetic form factor of the pion and the form factors of the \ensuremathπ⁰\ensuremath→\ensuremathγ\ensuremathγ and \stackrel\ensuremath→\ensuremathσ\ensuremathγ\ensuremathγ processes. We obtain explicit expressions for the relevant form factors and evaluate the leading and next-to-leading orders for large Euclidean photon virtualities. Turning to the decay properties of \ensuremathσ, we determine the width of the electromagnetic \stackrel\ensuremath→\ensuremathσ\ensuremathγ\ensuremathγ transition and discuss the strong decay \stackrel\ensuremath→\ensuremathσ\ensuremathπ\ensuremathπ. In a final step we compute the nonleptonic decays \stackrel\ensuremath→D\ensuremathσ\ensuremathπ and \stackrel\ensuremath→B\ensuremathσ\ensuremathπ relevant for the possible observation of the \ensuremathσ meson. All our results are compared to available experimental data and to results of other theoretical studies.

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