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The relativistic interquark potential

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Abstract

A method for the calculation of interaction potentials in a momentum space is proposed which is based on exact calculations of the Lorentz structures of the corresponding interaction amplitudes. With this method the kernel of the QCD-motivated potential of a quark-antiquark relativistic system is obtained for different masses and an arbitrary angular momentum J. The calculation is performed taking into account the anomalous chromodynamic moments of the quarks. The case of the singlet state of a relativistic quark system is considered.

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References

  1. H. A. Bethe and E. E. Salpeter, Phys. Rev., 84, 1232–1242 (1951).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. E. E. Salpeter, Ibid., 87, 328–342 (1952).

    Article  MATH  ADS  Google Scholar 

  3. A. A. Logunov and A. N. Tavkhelidze, Nuovo Cim., 29, 380–399 (1963).

    MathSciNet  Google Scholar 

  4. V. G. Kadyshevsky, Nucl. Phys., B6, 125–148 (1968).

    Article  ADS  Google Scholar 

  5. I. T. Todorov, Phys. Rev., D3, 2351–2356 (1971).

    ADS  Google Scholar 

  6. F. Gross, Ibid., 186, 1448–1462 (1969).

    Article  ADS  Google Scholar 

  7. B. D. Keister and W. N. Polyzou, Advances in Nuclear Physics, 20, 225–479 (1991).

    Google Scholar 

  8. E. Eichten, T. Kinoshita, K. Gottfried, et al., Phys. Rev. Lett., 34, 369–372 (1975).

    Article  ADS  Google Scholar 

  9. D. Ebert, R. N. Faustov, and V. O. Galkin, e-Print Archive: hep-ph/9809285 (1998).

  10. W. Lucha, H. Rupprecht, and F. Schöberl, Phys. Rev., D44, 242–249 (1991).

    ADS  Google Scholar 

  11. V. V. Andreev, Yadernaya Fizika, 66, 410–420 (2003).

    Google Scholar 

  12. S. Godfrey and N. Isgur, Phys. Rev., D32, 189–231 (1985).

    ADS  Google Scholar 

Download references

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 87–94, November, 2006.

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Andreev, V.V., Yuchko, A.A. The relativistic interquark potential. Russ Phys J 49, 1249–1258 (2006). https://doi.org/10.1007/s11182-006-0252-0

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  • DOI: https://doi.org/10.1007/s11182-006-0252-0

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