Formation of color-singlet gluon-clusters and inelastic diffractive scattering. Part II: Derivation of the $t$- and $M_x^2/s$-dependence of cross-sections in the SOC-approach

Details Formation of color-singlet gluon-clusters and inelastic diffractive scattering. Part II: Derivation of the $t$- and $M_x^2/s$-dependence of cross-sections in the SOC-approach Formation of color-singlet gluon-clusters and inelastic diffractive scattering. Part II: Derivation of the $t$- and $M_x^2/s$-dependence of cross-sections in the SOC-approach

1998-07-09

arxiv.org/abs/hep-ph/9807314v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 4 PS figures

Scientific paper

The $t$-dependence and the $(M_x^2/s)$-dependence of the double differential cross-sections for inelastic diffractive scattering off proton-target are discussed. Here $t$ stands for the four-momentum-transfer squared, $M_x$ for the missing mass, and $\sqrt{s}$ for the total c.m.s. energy. It is shown, that the space-time properties of the color-singlet gluon-clusters due to SOC, discussed in Part I, lead to simple analytical formulae for $d^2\sigma/dt d(M_x^2/s)$ and for $d\sigma/dt$, and that the obtained results are in good agreement with the existing data. Further experiments are suggested.

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