On the spin-orbit force in the Wilson loop context

Details On the spin-orbit force in the Wilson loop context On the spin-orbit force in the Wilson loop context

1996-12-25

arxiv.org/abs/hep-ph/9612466v1

Phys.Atom.Nucl. 60 (1997) 1754-1758; Yad.Fiz. 60N10 (1997) 1914-1918

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 Tex pages

Scientific paper

The Green function of the quark-antiquark system in the confining background field is analysed using the Feynman-Schwinger formalism. The Hamiltonian for the case of massive spinning quarks is obtained in the form containing essentially nonhermitian part. The eigenvalue problem for such type of the Hamiltonian is discussed, and it is shown that no complex eigenvalues arise. The corresponding no nunitary Foldy-Wouthuysen transformation is performed to obtain the hermitian Hamiltonian, and the standard spin-orbit interaction term is recovered.

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