Abstract
A new relativistic Coulomb-like threshold resummation S factor in quantum chromodynamics is obtained. The analysis in question is performed within the quantum-field-theory quasipotential approach formulated in the relativistic configuration representation for the case of interaction between two relativistic particles that have unequal masses.
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References
T. Appelquist and H. D. Politzer, Phys. Rev. Lett. 34, 43 (1975); Phys. Rev. D 12, 1404 (1975).
E. C. Poggio, H. R. Quinn, and S. Weinberg, Phys. Rev. D 13, 1958 (1976).
J. Schwinger, Particles, Sources, and Fields (Addison-Wesley, New York, 1973), Vol. 2.
G. Gamov, Z. Phys. 51, 204 (1928).
A. Sommerfeld, Atombau und Spektrallinien (Vieweg, Braunschweig, 1939), Vol. 2.
A. D. Sakharov, Zh. Éksp. Teor. Fiz. 18, 631 (1948).
M. Goldberger and K. Watson, Collision Theory (Wiley, New York, 1964; Mir, Moscow, 1967).
R. Newton, Scattering Theory of Waves and Particles (Springer, Berlin, 1982; Mir, Moscow, 1969).
K. Adel and F. J. Yndurain, Phys. Rev. D 52, 6577 (1995).
V. S. Fadin and V. A. Khoze, Yad. Fiz. 48, 487 (1988) [Sov. J. Nucl. Phys. 48, 309 (1988)]; V. S. Fadin, V. A. Khoze, and T. Sjostrand, Z. Phys. C 48, 613 (1990).
V. S. Fadin, V. A. Khoze, A. D. Martin, and A. Chapovsky, Phys. Rev. D 52, 1377 (1995).
A. H. Hoang, Phys. Rev. D 56, 7276 (1997).
J.-H. Yoon and C.-Y. Wong, Phys. Rev. C 61, 044905 (2000); J. Phys. G 31, 149 (2005).
A. B. Arbuzov, Nuovo Cimento A 107, 1263 (1994).
K. A. Milton and I. L. Solovtsov, Mod. Phys. Lett. A 16, 2213 (2001).
A. A. Logunov and A. N. Tavkhelidze, Nuovo Cimento 29, 380 (1963).
V. G. Kadyshevsky, Nucl. Phys. B 6, 125 (1968).
V. G. Kadyshevsky, R. M. Mir-Kasimov, and N. B. Skachkov, Nuovo Cimento A 55, 233 (1968).
V. I. Savrin and N. B. Skachkov, Lett. Nuovo Cimento 29, 363 (1980).
M. Freeman, M. D. Mateev, and R. M. Mir-Kasimov, Nucl. Phys. B 12, 197 (1969).
V. N. Kapshaĭ and N. B. Skachkov, Teor. Mat. Fiz. 55, 236 (1983); E. A. Dei, V. N. Kapshaĭ, and N. B. Skachkov, Teor.Mat. Fiz. 69, 55 (1986).
I. L. Solovtsov, O. P. Solovtsova, and Yu. D. Chernichenko, Pis’ma Fiz. Élem. Chastits At. Yadra 2(4), 17 (2005).
I. L. Solovtsov and Yu. D. Chernichenko, Vest. Nats. Akad. Navuk Belarusi, Ser. Fiz.-Mat., No. 2, 103 (2007).
K. A. Milton, I. L. Solovtsov, and O. P. Solovtsova, Phys. Rev. D 64, 016005 (2001).
I. L. Solovtsov and O. P. Solovtsova, Nonlin. Phenom. Complex Syst. 5, 51 (2002).
K. A. Milton, I. L. Solovtsov, and O. P. Solovtsova, Mod. Phys. Lett. A 21, 1355 (2006).
K. A. Milton, in Proc. of the Intern. Seminar Dedicated to the Memory of I. L. Solovtsov, Dubna, 15–18 Jan. 2008, Preprint No. D4-2008-65, JINR (Dubna, 2008), p. 82.
R. Barbieri, P. Christillin, and E. Remiddi, Phys. Rev. A 8, 2266 (1973).
V. G. Kadyshevsky, M. D. Mateev, and R. M. Mir-Kasimov, Yad. Fiz. 11, 692 (1970) [Sov. J. Nucl. Phys. 11, 388 (1970)].
V. G. Kadyshevsky, R. M. Mir-Kasimov, and N. B. Skachkov, Fiz. Élem. Chastits At. Yadra 2, 635 (1972) [Sov. J. Part. Nucl. 2 (3), 69 (1972)].
I. L. Solovtsov and Yu. D. Chernichenko, in Proc. of the Intern. Seminar Dedicated to the Memory of I. L. Solovtsov, Dubna, 15–18 Jan. 2008, Preprint no. D4-2008-65, OIYaI (Joint Inst. Nucl. Res., Dubna, 2008), p. 73.
N. B. Skachkov and I. L. Solovtsov, Teor. Mat. Fiz. 54, 183 (1983).
A. P. Martynenko and R. N. Faustov, Teor. Mat. Fiz. 64, 179 (1985).
W. Lucha and F. F. Schöberl, Phys. Rev. Lett. 64, 2733 (1990).
W. Lucha and F. F. Schöberl, Phys. Lett. B 387, 573 (1996).
Y.-S. Tsai, Phys. Rev. D 4, 2821 (1971).
S. L. Adler, Phys. Rev. D 10, 3714 (1974).
F. Jegerlehner and A. Nyffeler, Phys. Rep. 477, 1 (2009).
D. V. Shirkov and I. L. Solovtsov, Teor. Mat. Fiz. 150, 152 (2007) [Theor. Math. Phys. 150, 132 (2007)].
L. J. Reinders, H. Rubinstein, and S. Yazaki, Phys. Rep. 127, 1 (1985).
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Original Russian Text © O.P. Solovtsova, Yu.D. Chernichenko, 2010, published in Yadernaya Fizika, 2010, Vol. 73, No. 9, pp. 1658–1667.
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Solovtsova, O.P., Chernichenko, Y.D. Threshold resummation S factor in QCD: The case of unequal masses. Phys. Atom. Nuclei 73, 1612–1621 (2010). https://doi.org/10.1134/S1063778810090139
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DOI: https://doi.org/10.1134/S1063778810090139