2019 Impact factor 4.389
Particles and Fields
Eur. Phys. J. C 28, 79-95 (2003)
DOI: 10.1140/epjc/s2003-01132-6

The charge and matter radial distributions of heavy-light mesons calculated on a lattice with dynamical fermions

The UKQCD Collaboration
A.M. Green1, J. Koponen1, P. Pennanen1 and C. Michael2

1  Department of Physical Sciences and Helsinki Institute of Physics, P.O. Box 64, 00014 University of Helsinki, Finland
2  Department of Mathematical Sciences, University of Liverpool, L69 3BX, UK

(Received: 2 September 2002 / Revised version: 9 December 2002 / Published online: 3 March 2003 )

A knowledge of the radial distributions of quarks inside hadrons could lead to a better understanding of the QCD description of these hadrons and possibly suggest forms for phenomenological models. As a step in this direction, in an earlier work, the charge (vector) and matter (scalar) radial distributions of heavy-light mesons were measured in the quenched approximation on a $16^3\times 24$ lattice with a lattice spacing of $a\approx 0.17$ fm, and a hopping parameter corresponding to a light quark mass about that of the strange quark. Here several improvements are now made: 1) The configurations are generated using dynamical fermions with $a\approx 0.14$ fm; 2) Many more gauge configurations are included; 3) The distributions at many off-axis, in addition to on-axis, points are measured; 4) The data analysis is much more complete. In particular, distributions involving excited states are extracted. The exponential decay of the charge and matter distributions can be described by mesons of mass 0.9 $\pm 0.1$ and 1.5 $\pm 0.1$ GeV respectively - values that are consistent with those of vector and scalar $q\bar{q}$-states calculated directly with the same lattice parameters.

© Società Italiana di Fisica, Springer-Verlag 2003