Abstract
A review of novel approaches to solution of multiparticle scattering problems in the area above three-body breakup together with the review of new computational technologies which provide very effective and ultrafast realization of the novel approaches with ordinary PC are given. The novel direction presented here is based on two key points: a new formulation of the quantum scattering theory in a discrete Hilbert space of stationary wave packets and the massive-parallel solution of the resulted matrix equations with usage of ultrafast graphic processors (the so called GPU-computations). For the reader’s convenience, a short review of the modern GPU calculations for the medicine, physics, military applications etc. is presented.
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References
G. V. Skorniakov, K. A. Ter-Martirosyan, Sov. Phys. JETP 4, 468 (1956).
V. V. Anisovitch, A. A. Anselm, Sov. Phys. Usp. 9, 210 (1966).
L. D. Faddeev, TrudiMIAN 69, 1 (1966) [in Russian].
L. D. Faddeev, Sov. Phys. JETP 12, 1014 (1961).
S. P. Merkuriev, L. D. Faddeev, Quantum scattering theory for several particle systems (Springer, 1993).
S. P. Merkuriev, S. L. Yakovlev, Theor. Math. Phys. 56, 673 (1983).
S. P. Merkuriev, Theor. Math. Phys. 8, 798 (1971).
A. G. Sitenko and V. F. Kharchenko, Nucl. Phys. 49, 15 (1963); A. G. Sitenko, V. F. Kharchenko, Sov. Phys. Usp. 14, 125 (1971).
R. D. Amado, Phys. Rev. 132, 485 (1963).
Yu. A. Simonov, Sov. J. Nucl. Phys. 3, 461 (1966); A. M. Badalian, E. S. Galperin, V. N. Lyakhovistky et al., Sov. J. Nucl. Phys. 6, 345 (1968).
Yu. A. Simonov, Sov. J. Nucl. Phys. 7, 722 (1968); A. I. Baz, M. V. Zhukov, Institute of Nuclear Energy Preprint-1883 (Moscow, 1969) [in Russian].
A. Deltuva and A. C. Fonseca, Phys. Rev. C 76, 021001(R) (2007).
A. Deltuva and A. C. Fonseca, Phys. Rev. C 79, 014606 (2009).
Y. E. Kim and A. Tubis, Annu. Rev. Nucl. Sci. 24, 69 (1974).
O. A. Rubtsova, V. N. Pomerantsev, and V. I. Kukulin, Phys. Rev. C 79, 064602 (2009).
V. N. Pomerantsev, V. I. Kukulin, and O. A. Rubtsova, Phys. Rev. C 79, 034001 (2009).
O. A. Rubtsova, V. I. Kukulin, Phys. Atom. Nucl. 70, 2025 (2007).
V. I. Kukulin, O. A. Rubtsova, Theor. Math. Phys. 145, 1711 (2005).
O. A. Rubtsova, V. I. Kukulin, and A. M. Moro, Phys. Rev. C 78, 034603 (2008).
C. R. Chen et al., Phys. Rev. C 39, 1261 (1989); J. L. Friar et al., Phys. Rev. C 42, 1838 (1990).
J. L. Friar et al., Phys. Rev. C 51, 2356 (1995).
W. Glöckle et al., Phys. Rept. 274, 107 (1996).
A. V. Boreskov, A. A. Kharlamov, Basics of the CUDA technology (DMK-Press, Moscow, 2010) [in Russian].
J. Sanders, E. Kandrot, CUDA by example: an introduction to general-purpose GPU programming, (Addison-Wesley, 2010).
V. V. Titov, in Proceedings of the IUGG/IOC International Tsunami Symposium (Computing center Siberian Division Academy of Sciences USSR, Novosibirsk, USSR, 1989), p. 46.
S. B. Vorozhtsov et al., in Annual Report 2006 of Center of Nuclear Study (Graduate School of Science, the University of Tokyo, Dec. 2007), CNSREP-76, p. 57.
E. P. Zhidkov, E. E. Perepelkin, S. B. Vorozhtsov, Math.Models Comput. Simulations 1(6), 704 (2009).
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Original Russian Text © V.I. Kukulin, O.A. Rubtsova, 2012, published in Yadernaya Fizika, 2012, Vol. 75, No. 11, pp. 1447–1461.
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Kukulin, V.I., Rubtsova, O.A. Modern approaches for the theoretical description of multiparticle scattering and nuclear reactions. Phys. Atom. Nuclei 75, 1373–1387 (2012). https://doi.org/10.1134/S1063778812110130
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DOI: https://doi.org/10.1134/S1063778812110130