New general approach in few-body scattering calculations: Solving discretized Faddeev equations on a graphics processing unitстатья

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Дата последнего поиска статьи во внешних источниках: 2 сентября 2014 г.

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[1] Pomerantsev V. N., Kukulin V. I., Rubtsova O. A. New general approach in few-body scattering calculations: Solving discretized faddeev equations on a graphics processing unit // Physical Review C - Nuclear Physics. — 2014. — Vol. 89. — P. 064008. Background: The numerical solution of few-body scattering problems with realistic interactions is a difficult problem that normally must be solved on powerful supercomputers, taking a lot of computer time. This strongly limits the possibility of accurate treatments for many important few-particle problems in different branches of quantum physics. Purpose: To develop a new general highly effective approach for the practical solution of few-body scattering equations that can be implemented on a graphics processing unit. Methods: The general approach is realized in three steps: (i) the reformulation of the scattering equations using a convenient analytical form for the channel resolvent operator, (ii) a complete few-body continuum discretization and projection of all operators and wave functions onto an L2 basis constructed from stationary wave packets, and (iii) the ultrafast solution of the resulting matrix equations using a graphics processor. Results: The whole approach is illustrated by a calculation of the neutron-deuteron elastic scattering cross section below and above the three-body breakup threshold with a realistic NN potential that is performed on a standard PC using a graphics processor with an extremely short runtime. Conclusions: The general technique proposed in this paper opens a new way for a fast practical solution of quantum few-body scattering problems in both nonrelativistic and relativistic formulations in hadronic, nuclear, and atomic physics. [ DOI ]

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