1998/08/25 by Deirdre Black, Amir H. Fariborz, Francesco Sannino +2 · 10 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.59.074026
published as Phys.Rev.D59:074026,1999 · 24 pages, 3 figures
arxiv created 1998/08/25 · openalex publication_date 1999/03/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We investigate the ``family'' relationship of a possible scalar nonet composed of the a0(980), the f0(980) and the \ensuremathσ and \ensuremathκ type states found in recent treatments of \ensuremathπ\ensuremathπ and \ensuremathπK scattering. We work in the effective Lagrangian framework, starting from terms which yield ``ideal mixing'' according to Okubo's original formulation. It is noted that there is another solution corresponding to dual ideal mixing which agrees with Jaffe's picture of scalars as qqqq states rather than qq states. At the Lagrangian level there is no difference in the formulation of the two cases (other than the numerical values of the coefficients). In order to agree with experiment, additional mass and coupling terms which break ideal mixing are included. The resulting model turns out to be closer to dual ideal mixing than to conventional ideal mixing; the scalar mixing angle is roughly \ensuremath-17\ifmmode^∘\else\textdegree\fi in a convention where dual ideal mixing is 0\ifmmode^∘\else\textdegree\fi.