Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1994-10-20
Nucl.Phys.B444:401-424,1995
Physics
High Energy Physics
High Energy Physics - Lattice
25 pages, uuencoded compressed postscript file containing 11 figures, LaTeX, Edinburgh Preprint 94/548, Rome Preprint 94/1057
Scientific paper
10.1016/0550-3213(95)00180-Z
We use a method recently suggested for evaluating the slope of the Isgur-Wise function, at the zero-recoil point, on the lattice. The computations are performed in the quenched approximation to lattice QCD, on a $24^3 \times 48$ lattice at $\beta=6.2$, using an $O(a)$-improved action for the fermions. We have found unexpectedly large finite-volume effects in such a calculation. These volume corrections turned out to be purely geometrical and independent of the dynamics of the system. After the study of these effects on a smaller volume and for different quark masses, we give approximate expressions that account for them. Using these approximations we find $\xi^\prime(1)=-1.7 \pm 0.2$ and $\xi^\prime(1)=-1.4 +0.2-0.1$ for the slope of the Isgur-Wise function, for two mesons composed of a heavy quark slightly heavier and lighter, respectively, than the charm quark, and in both cases, a light antiquark whose mass is about that of the strange quark.
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