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The diagonalization method is used to study proton-hydrogen scattering. A second order approximation is introduced and the results are compared with close-coupling ones. The improvement brought with respect to first order calculation seems to be very important. Calculations including twenty states are performed. The cross sections evaluated by various theoretical methods for 1s-2s transition are compared. The cross sections obtained for d and f states are very different from those found with the Born approximation. Polarizations of 3d-2p and 2p-1s lines are also calculated.
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D. Baye (1973) studied this question.
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