Two Body Elastic Collision Integral

Details Two Body Elastic Collision Integral Two Body Elastic Collision Integral

Dec 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995aas...187.8216c&link_type=abstract

American Astronomical Society, 187th AAS Meeting, #82.16; Bulletin of the American Astronomical Society, Vol. 27, p.1406

Physics

Scientific paper

We have evaluated the most general form of nonrelativistic energy transfer rate collision integral epsilon =int f_1(p_1)d(3p_1int ) f_2(p_2)d(3p_2int ) triangle E sigma v dOmega (theta ,phi ) where (vecp_1 ,vecp_2 ), (vecp_1 ',vecp_2 ') and (vecv_1 ,vecv_2 ), (vecv_1 ',vecv_2 ') are respectively the momenta and velocities of the two particles of masses m_1,m_2 before and after collision, whose differential distribution functions are f_1(p_1) and f_2(p_2) and triangle E =E(p_1'}-E(p_1)=-[E(p_2')-E(p_2)] is the energy transfer, v=|vecv_1 -vecv_2 |=|vecv_1 '-vecv_2 '|. sigma is the differential scattering cross section and dOmega (theta ,phi ) is the solid angle element in the direction (theta ,phi ). Our result covers all types of cross sections which can be expressed as a series containing anmv(nP_m(cos ) theta ) where -infty

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