Abstract
A new quark interaction is derived, by means of a Tamm-Dancoff reduction, from an effective field theory constituent quark model. In contrast to the standard Coulombic potential, the obtained interaction is nonlocal and energy dependent. Furthermore, it becomes positive and rises up to a maximum value when the interquark distance increases, partially resembling some aspects of the phenomenological Cornell potential.
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References
V.B. Berestetskii, L.P. Pitaevskii, E.M. Lifshitz, Quantum Electrodynamics, Vol. 4, second edition (Elsevier, Butterworth Heinemann, Oxford, 1982) p. 336.
E. Eichten, Phys. Rev. Lett. 34, 369 (1975)
A. Barchielli, N. Brambilla, G.M. Prosperi, Nuovo Cimento A 103, 59 (1990)
P. Hasenfratz, R.R. Horgan, J. Kuti, J.M. Richard, Phys. Lett. B 94, 401 (1980)
M. Ferraris, M.M. Giannini, M. Pizzo, E. Santopinto, L. Tiator, Phys. Lett. B 364, 231 (1995)
C. Bernard, Phys. Rev. D 62, 034503 (2000)
R. Alkofer, J. Greensite, J. Phys. G: Nucl. Part. Phys. 34, S3 (2007) arXiv:hep-ph/0610365.
M. De Sanctis, Eur. Phys J. A 33, 71 (2007)
I. Tamm, J. Phys. 9, 449 (1945)
R.J. Lombard, J. Mares, C. Volpe, Description of heavy quark systems by means of energy dependent potentials, preprint arXiv:hep-ph/0411067v1.
M. Rosa-Clot, M. Testa, Phys. Rev. C 23, 2730 (1981).
M. Järvinen, Hydrogen atom in relativistic motion, preprint arXiv:hep-ph/0411208v2.
M. De Sanctis, D. Prosperi, Nuovo Cimento A 107, 611 (1994).
J. Formánek, V. Holesovickách, R.J. Lombard, J. Mares, Wave equations with energy dependent potentials, preprint arXiv:quant-ph/0309157v1.
I.S. Gradshteyn, I.M. Ryzhik Table of Integrals, Series, and Products (Academic Press, New York, 1980) eqs. (3.722.5), (8.230.1), (8.232.1).
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G. Orlandini
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De Sanctis, M., Quintero, P. A new energy-dependent quark interaction from a Tamm-Dancoff reduction of an effective field theory quark model. Eur. Phys. J. A 39, 145–148 (2009). https://doi.org/10.1140/epja/i2008-10720-5
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DOI: https://doi.org/10.1140/epja/i2008-10720-5