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# The Charge and Matter radial distributions of Heavy-Light mesons calculated on a lattice with dynamical fermions

Green, A.M.; Koponen, J.; Pennanen, P. and Michael, C. (2003) The Charge and Matter radial distributions of Heavy-Light mesons calculated on a lattice with dynamical fermions. The European Physical Journal C - Particles and Fields, 28 (1). pp. 79-95. ISSN 1434-6052 (Online); 1434-6044 (Print)

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## Abstract

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 16^3x24 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 areincluded; 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 +- 0.1 and 1.5 +- 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.

Item Type: Article LTH: 545. arXiv Number: arXiv:hep-lat/0206015v1. Published online: 3 March 2003. Issue: May, 2003. HADRON SPECTROSCOPY; SCALAR MESONS; QCD Q Science > QC Physics Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences 10.1140/epjc/s2003-01132-6 The original publication is available at springerlink.com. http://arxiv.org/abs/hep-lat/0206015 No Published 544 02 Jun 2009 12:49 20 May 2011 12:25

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