1206.5474 (I. M. Dremin)

Elastic scattering of hadrons    [PDF]

I. M. Dremin

When colliding, the high energy hadrons can either produce new particles or scatter elastically without change of their quantum num- bers and other particles produced. Namely elastic scattering of hadrons is considered in this review paper. Even though the inelastic processes dominate at high energies, the elastic scattering constitutes the notice- able part of the total cross section ranging between 18 and 25% with some increase at higher energies. The scattering proceeds mostly at small angles and reveals peculiar dependences at larger angles disclos- ing the geometrical structure of the colliding particles and di?erent dynamical mechanisms. The fast decreasing Gaussian peak at small angles is followed by the exponential (Orear) regime with some shoul- ders and dips and then by the power-like decrease. Results of various theoretical approaches are compared with exper- imental data. Phenomenological models pretending to describe this process are reviewed. The unitarity condition requires the exponen- tial region with some additional substructure to appear in between the di?raction cone at low transferred momenta and hard parton scatter- ing (power-like) regime at high transferred momenta. The interference of Coulomb and nuclear amplitudes at extremely small angles helps get some knowledge about the real part of the forward scattering nu- clear amplitude. The real part of the elastic scattering amplitude as well as the contribution of inelastic processes to the imaginary part of this amplitude (the so-called overlap function) at nonforward trans- ferred momenta are also discussed. The power-like regime at highest transfers is brie y described.

View original: http://arxiv.org/abs/1206.5474