2001/01/06 by T. Barakat, M. Chabab, Barakat, T. +1 · 2 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0101056
14 pages, Latex
arxiv created 2001/01/06 · openalex publication_date 2001/01/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study Dick quark-antiquark potential (up to a color factor) VD(r)=-αs \over r + gf √Nc \over 2(Nc-1) ln[exp(2mr)-1] in the heavy meson sector. This potential emerges from an effective dilaton-gluon coupling inspired from string theory and proves to be linearly rising at large distances which ensures quark confinement. The semi-relativistic wave equation which appears in the theory of relativistic quark-antiquark bound states is used. This equation is cast into a constituent second order Schrödinger-like equation with the inclusion of relativistic corrections up to order (v/c)2 in the quark speeds. The resulting equation is solved for Dick potential via the Shifted-l expansion technique (SLET). The obtained results show that the spin-averaged energy levels of heavy-mesons are well explained and agree with other potential models or QCD sum rules predictions. Moreover, as a by-product, our analysis assign to the dilaton a mass around 56.9 MeV lying within the range of many theoretical scenario of dilatonic mass.