RADIAL CORRELATIONS BETWEEN TWO QUARKS

A.M. Green, Jonna Koponen, Petrus Pennanen, C. Michael · 2002

In nuclear many-body problems the short-range correlation between two nucleons is well described by the corresponding correlation in the two-body problem.Therefore, as a first step in any attempt at an analogous description of many-quark systems, it is necessary to know the two-quark correlation.With this in mind, we study the light quark distribution in a heavy-light meson with a static heavy quark.The charge and matter radial distributions of these heavy-light mesons are measured on a lattice with a light quark mass about that of the strange quark.Both distributions can be well fitted upto r ≈ 0.7 fm with the exponential form w 2 i (r), where w i (r) = A exp(-r/r i ).For the charge(c) and matter(m) distributions rc ≈ 0.32(2)fm and rm ≈ 0.24(2)fm.We also discuss the normalisation of the total charge (defined to be unity in the continuum limit) and matter integrated over all space, finding 1.30(5) and 0.4(1) respectively for a lattice spacing ≈ 0.17 fm.

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