Heavy meson masses via Dick interquark potential

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dc.creatorBarakat, T.
dc.creatorChabab, M.
dc.date2001-01-06
dc.date.accessioned2026-07-07T03:43:35Z
dc.date.available2026-07-07T03:43:35Z
dc.descriptionWe study Dick quark-antiquark potential (up to a color factor) $V_D(r)={-α_s \over r} + gf \sqrt{N_c \over {2(N_c-1)}} \ln[exp(2mr)-1]$ 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.
dc.description14 pages, Latex
dc.identifierhttps://arxiv.org/abs/hep-ph/0101056
dc.identifierhttp://arxiv.org/abs/hep-ph/0101056
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/40274
dc.subjectHigh Energy Physics - Phenomenology
dc.titleHeavy meson masses via Dick interquark potential
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