UNSPECIFIED (2004) Quark-antiquark bound states and the Breit equation. ACTA PHYSICA POLONICA B, 35 (10). pp. 2329-2365. ISSN 0587-4254

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Abstract

A non-covariant but approximately relativistic two-body wave equation (Breit equation) describing the quantum mechanics of two fermions interacting with one another through a potential containing scalar, pseudoscalar and vector parts is presented. After expressing the sixteen component two-body wavefunction in terms of a radial and an angular function by means of the multipole expansion, the initial equation can be reduced into a set of sixteen radial, equations which, in turn, can be classified in accordance to the parity and the state of the wavefunctions involved. The adequacy of the reduced equations in describing real problems is discussed by applying the theory to QCD problems and the calculation of the energies of bound states of quark-antiquark systems is performed to order alpha(4). We show that bound states of heavy quarks can be,described adequately by the Breit. equation for a funnel interaction between the particles.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Journal or Publication Title:	ACTA PHYSICA POLONICA B
Publisher:	ACTA PHYSICA POLONICA B, JAGELLONIAN UNIV, INST PHYSICS
ISSN:	0587-4254
Date:	October 2004
Volume:	35
Number:	10
Number of Pages:	37
Page Range:	pp. 2329-2365
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/7840

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