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The static force in background perturbation theory | | A.M.Badalian
; A.I.Veselov
; | | Date: |
7 Jul 2004 | | Journal: | Phys.Atom.Nucl. 68 (2005) 582-590; Yad.Fiz. 68 (2005) 612-620 | | Subject: | hep-ph | | Abstract: | The static force $F_B(r)$ and the strong coupling $alpha_F(r)$, which defines the gluon-exchange part of $F_B(r)$, are studied in QCD background perturbation theory (BPT). In the region $rla 0.6 $ fm $alpha_F(r)$ turns out to be essentially smaller than the coupling $alpha_B(r)$ in the static potential. For the dimensionless function $Phi_B(r) = r^2 F_B(r)$ the characteristic values $Phi_B(r_1) =1.0$ and $Phi_B(r_0)=1.65$ are shown to be reached at the following $Qar Q$ separations: $r_1sqrt{sigma} =0.77, r_0sqrt{sigma} =1.09$ in quenched approximation and $r_1sqrt{sigma}=0.72, r_0sqrt{sigma}=1.04$ for $n_f =3$. The numbers obtained appear to be by only 8% smaller than those calculated in lattice QCD while the values of the couplings $alpha_F(r_1)$ and $alpha_F(r_0)$ in BPT are by $sim 30% (n_f =3)$ and $50% (n_f=0)$ larger than corresponding lattice couplings. With the use of the BPT potential good description of the bottomonium spectrum is obtained. | | Source: | arXiv, hep-ph/0407082 | | Services: | Forum | Review | PDF | Favorites | |
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