Studying the scalar bound states ofKK¯system in Bethe-Salpeter formalism

2007/04/30 by Xin-Heng Guo, Xing-Hua Wu
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.76.056004

published as Phys.Rev.D76:056004,2007 · 23 pages, LaTeX2e. Discussions on the legitimacy of the ladder approximation and the instantaneous approximation are added. Recognized typos have been corrected. Several references added

arxiv created 2007/07/24 · openalex publication_date 2007/09/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04

Abstract

We study the possible bound states of the KK system in the Bethe-Salpeter formalism in the ladder and instantaneous approximations. We find that the bound states exist. However, these bound states have very small decay widths. Therefore, besides the possible KK component, there may be some other structures in the observed f₀(980) and a₀(980).

Citations

• Observation and Properties of theX(3872)Decaying toJ/ψπ+π−inpp¯Collisions ats=1.96 TeV
• Bethe-Salpeter equation for heavy baryonsωQ(*)in the diquark picture
• Variational Worldline Approximation for the Relativistic Two-Body Bound State in a Scalar Model
• Study of theB−→J/ψK−π+π−decay and measurement of theB−→X(3872)K−branching fraction
• New explanation of the GAMS results on thef0(980)production in the reactionπ−p→π0π0n
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Review of Particle Physics