Phenomenological models of elastic nucleon scattering and predictions for LHC

Schrödinger Equation and (Future) Quantum Physics

“…The phase which leads to peripheral behavior of hadronic proton-proton collisions has very similar t-dependence as that obtained earlier at lower collision energy of √ s = 23 GeV in the already quoted older paper [31]. The elastic and inelastic root-mean-squares have been calculated in [28] also for several relatively new phenomenological models proposed for elastic hadronic proton-proton scattering at energy of 14 TeV (planned ultimate LHC collision energy). In all these cases it has been found that b 2 (s) el < b 2 (s) inel , i.e., all these models correspond to central behavior of proton collisions, as shown in Table 2.…”

“…One of such commonly used formulas has been the simplified formula of West and Yennie (WY) published in 1968 [27] which was derived only for very low values of |t| under assumption that the modulus of F N (s, t) was purely exponential in t and the phase of F N (s, t) was t-independent; both these assumptions were supposed to be valid in the whole region of kinematically allowed values of t at that time. Detailed discussion concerning both theoretical and experimental problems following from drastic limitation involved in this formula may be found, e.g., in [28].…”

“…In our model we have introduced some free parameters and some unknown functions which are to be determined from corresponding measured elastic differential cross section using formula (28). It is necessary to fit maximal dimensions d k of all the (considered) hadron states and their corresponding probabilities p k at the moment of collision.…”

Exploring central opacity and asymptotic scenarios in elastic hadron scattering

“…In fact, although partial descriptions of the bulk of the experimental data can be obtained in the context of phenomenological models (for reviews see, for example, [12][13][14][15][16][17]), the efficiency of any representative approach depends on a constant feedback of new and adjustable parameters, which in turn are dictated by the new experimental data. As a practical consequence, equivalent data descriptions may be obtained in different phenomenological contexts, associated, in general, to different physical pictures for the same phenomenon (compare, for example, [18][19][20][21][22][23][24][25][26][27][28][29]), resulting, nearly always, in a renewed open problem.…”

Asymptotic regimes for hadron diffractive scatterings and Coulomb interaction: Arguments for the black disk mode

“…The interplay of hadronic and Coulomb interactions was studied in a set of papers, see [31][32][33][34][35][36][37] and references therein. In the region of ultrahigh energies and small q 2 , the K-matrix function technique allows to take into account directly the combined action of hadronic and Coulomb interactions (H + C).…”