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Threshold Resummation S-Factor for a System of Two Relativistic Spinor Quarks

  • Elementary Particles and Fields
  • Theory
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Abstract

A new threshold resummation S-factor in quantum chromodynamics is obtained for a composite system of two relativistic spin-1/2 quarks having identical masses and interacting via a Coulomb-like chromodynamical potential. The pseudoscalar, vector, and pseudovector cases are considered. The present analysis is performed on the basis of the relativistic quasipotential approach in the Hamiltonian formulation of quantum field theory via a transition to the relativistic configuration representation for the case of a composite system formed by two relativistic particles of equal mass.

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References

  1. T. Appelquist and H. D. Politzer, Phys. Rev. Lett. 34, 43 (1975; Phys. Rev. D 12, 1404 (1975).

    Article  ADS  Google Scholar 

  2. E. C. Poggio, H. R. Quinn, and S. Weinberg, Phys. Rev. D 13, 1958 (1976).

    Article  ADS  Google Scholar 

  3. J. Schwinger, Particles, Sources, and Fields (Addison-Wesley, New York, 1973), Vol. 2).

    MATH  Google Scholar 

  4. G. Gamov, Z. Phys. 51, 204 (1928).

    Article  ADS  Google Scholar 

  5. A. Sommerfeld, Atombau und Spektrallinien (Vieweg, Braunschweig, 1939), Vol. 2).

    MATH  Google Scholar 

  6. A. D. Sakharov, Zh. Eksp. Teor. Fiz. 18, 631 (1948).

    Google Scholar 

  7. V. S. Fadin and V. A. Khoze, Sov. J. Nucl. Phys. 48, 309 (1988; V. S. Fadin, V. A. Khoze, and T. Sjostrand, Z. Phys. C 48, 613 (1990).

    Google Scholar 

  8. V. S. Fadin, V. A. Khoze, A. D. Martin, and A. Chapovsky, Phys. Rev. D 52, 1377 (1995).

    Article  ADS  Google Scholar 

  9. A. H. Hoang, Phys. Rev. D 56, 7276 (1997).

    Article  ADS  Google Scholar 

  10. J.-H. Yoon and C.-Y. Wong, Phys. Rev. C 61, 044905 (2000; J. Phys. G 31, 149 (2005).

    Article  ADS  Google Scholar 

  11. O. P. Solovtsova and Yu. D. Chernichenko, Theor. Math. Phys. 166, 194 (2011).

    Article  Google Scholar 

  12. O. P. Solovtsova and Yu. D. Chernichenko, Phys. At. Nucl. 73, 1612 (2010; arXiv: 0904.0754v1).

    Article  Google Scholar 

  13. K. A. Milton and I. L. Solovtsov, Mod. Phys. Lett. A 16, 2213 (2001).

    Article  ADS  Google Scholar 

  14. A. A. Logunov and A. N. Tavkhelidze, Nuovo Cimento 29, 380 (1963).

    Article  Google Scholar 

  15. V. G. Kadyshevskiĭ, Sov. Phys. JETP 19, 443, 597 (1964); Sov. Phys. Dokl. 10, 46 (1965).

    Google Scholar 

  16. V. G. Kadyshevsky, Nucl. Phys. B 6, 125 (1968).

    Article  ADS  Google Scholar 

  17. V. G. Kadyshevsky, R. M. Mir-Kasimov, and N. B. Skachkov, Nuovo Cimento A 55, 233 (1968).

    Article  ADS  Google Scholar 

  18. V. I. Savrin and N. B. Skachkov, Lett. Nuovo Cimento 29, 363 (1980).

    Article  Google Scholar 

  19. K. A. Milton, I. L. Solovtsov, and O. P. Solovtsova, Phys. Rev. D 64, 016005 (2001).

    Article  ADS  Google Scholar 

  20. I. L. Solovtsov and O. P. Solovtsova, Nonlin. Phenom. Complex Syst. 5, 51 (2002).

    Google Scholar 

  21. K. A. Milton, I. L. Solovtsov, and O. P. Solovtsova, Mod. Phys. Lett. A 21, 1355 (2006).

    Article  ADS  Google Scholar 

  22. K. A. Milton, in Proceedings of the International Seminar Dedicated to the Memory of I. L. Solovtsov, Dubna, January 15–18, 2008, JINR Preprint No. D4-2008-65 (JINR, Dubna, 2008), p. 82).

    Google Scholar 

  23. Yu. D. Chernichenko, Phys. At. Nucl. 80, 707 (2017).

    Article  Google Scholar 

  24. N. B. Skachkov and I. L. Solovtsov, JINR Preprint No. E2-81-760 (JINR, Dubna, 1981); Theor. Math. Phys. 54, 116 (1983).

    Article  Google Scholar 

  25. W. Lucha and F. F. Schoöberl, Phys. Rev. Lett. 64, 2733 (1990).

    Article  ADS  MathSciNet  Google Scholar 

  26. W. Lucha and F. F. Schöberl, Phys. Lett. B 387, 573 (1996).

    Article  ADS  Google Scholar 

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Acknowledgements

I am grateful to O.P. Solovtsova for her interest in this study, stimulating discussions, and valuable comments.

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Authors and Affiliations

  1. Pavel Sukhoi Gomel State Technical University, Gomel, 246746, Republic of Belarus

    Yu. D. Chernichenko

  2. International Center for Advanced Studies, Gomel, 246746, Republic of Belarus

    Yu. D. Chernichenko

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  1. Yu. D. Chernichenko
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Correspondence to Yu. D. Chernichenko.

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Chernichenko, Y.D. Threshold Resummation S-Factor for a System of Two Relativistic Spinor Quarks. Phys. Atom. Nuclei 82, 158–162 (2019). https://doi.org/10.1134/S1063778819020030

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  • DOI: https://doi.org/10.1134/S1063778819020030

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