Ay. Korchin et O. Scholten, DILEPTON PRODUCTION IN NUCLEON-NUCLEON COLLISIONS AND THE LOW-ENERGY THEOREM, Nuclear physics. A, 581(3-4), 1995, pp. 493-511
We consider the process of dilepton production in nucleon-nucleon (NN)
collisions NN --> NNl+l- (virtual bremsstrahlung). The reaction ampli
tude in the rest frame of the virtual photon is presented in powers of
the photon invariant mass M(gamma). It is shown that the leading term
O(M(gamma)-1) is expressed through the on-mass-shell NN T-matrix. If
in addition the photon 3-momentum in the lab (or c.m.) frame is small
enough the next term O(M(gamma)0 becomes model independent as well. Th
e amplitude is presented in a covariant form which allows one to calcu
late it in any reference frame and to compare it with the well-known l
ow-energy theorem for the real photon NN bremsstrahlung. The decomposi
tion of the exclusive cross section of the virtual NN bremsstrahlung i
n terms of response functions is carried out as well and the ratios of
the response functions are calculated using the leading term in the a
mplitude.