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S. M. Troshin

Publications and source records attributed to S. M. Troshin.

At least 19 recordsLinked to original sources

Separating energy scales in hadron scattering

We discuss energy scales in soft hadron scattering and possibility of their separation: the one relevant to the region where the total cross--sections increase starts and another one related to the asymptotic region. The latter scale is most sensitive to the unitarity effects and the former one --- to the gross features of absorption of the initial wave due to multiparticle production. Transition from the shadow to reflective scattering sets a relation between the two energy scales.

hep-ph↗

Detecting quantum fluctuations of multiplicity

Transition to the reflective scattering mode results in the increasing role of the multiplicity fluctuations of quantum origin and its asymptotic dominance. We note here the feasibility to experimentally detect presence of quantum fluctuations of multiplicity at finite energies.

hep-ph↗

Multiplicity distribution under the reflective scattering mode

Transition to the reflective scattering mode which has emerged at the highest LHC energy of $\sqrt{s}=13$ TeV results in a relative shrinkage with the energy of the impact parameter region responsible for the inelastic hadron collisions. Respective increasing role of the multiplicity fluctuations of quantum origin is emphasized.

hep-ph↗

Energy dependence of deep-elastic scattering

We discuss decreasing energy behavior of the differential cross-section of elastic hadron interactions at fixed large values of transferred momenta (deep--elastic scattering). This observable effect is relevant to the reflective scattering mode.

hep-ph↗

Centrality and cumulative activities in hadron collisions

The notion of cumulative activity for elastic events in hadron collision is introduced. The interrelation between centrality and cumulative activities of the elastic and inelastic events has been established for hadron scattering. Considerations on its application are presented.

hep-ph↗

Comments on oscillations in elastic scattering of hadrons

The observed absence of the small-$t$ oscillations in differential cross--section of the elastic scattering is considered as a consequence of the reflective scattering mode appearance at the highest energy of the LHC $\sqrt{s}=13$ TeV.

hep-ph↗

Cumulative activity of inelastic events under hadron collisions

We introduce the notion of cumulative activity for inelastic events generated under hadron collisions, discuss its energy dependence and connection with the reflective scattering mode. These issues are relevant for enlightening the asymptotic dynamics in view of the LHC measurements.

hep-ph↗

Reflective ability and its energy dependence

We introduce the notion of reflective ability and discuss its energy dependence using rational form of unitarization. Correspondence with the phase of exponential unitarization is traced. Increase of the reflective ability of interaction region starts at the LHC energies. Numerical estimates are given.

hep-ph↗

Energy evolution of the overlap functions: increasing ratio of $σ_{el}(s)/σ_{tot}(s)$ and black ring emergence

We analyse the two possible options of the energy dependency of the elastic and inelastic overlap functions. These correspond to saturation of the black disk limit (BEL effect) and to the unitarity saturation (REL effect) at $s\to\infty$. Relation of the REL effect to increase of the ratio $σ_{el}(s)/σ_{tot}(s)$ and emergence of black ring picture at the LHC is underlined.

hep-ph↗

Rational form of amplitude and its asymptotic factorization

We provide arguments for the use of the rational form of unitarization, its relation with the diffraction peak shrinkage and asymptotics of the inelastic cross--section. The particular problems of the Regge model and the exponential form of unitarization with a factorized eikonal are discussed as well. Central role belongs to the asymptotic amplitude factorization resulting from Mandelstam analyticity and its symmetry over the scattering variables.

hep-ph↗

Direct-channel option of the forward slope increase

The LHC data on the elastic scattering indicate that the forward slope increase is not consistent with the contributions of the simple Regge poles only with the linear Regge trajectories. The dynamics might be associated with unitarization in the direct channel of reaction. We discuss the problems of the Regge model and provide a respective illustration of the direct-channel option.

hep-ph↗

Central elastic scattering

We comment on phase selection of the scattering amplitude, emphasizing that the elastic overlap function should have a central impact parameter profile at high energies and highlighting the role of the reflective scattering mode at the LHC energies. Emerging problems with the use of peripheral impact parameter dependence of the elastic overlap function are explicitly indicated. Their solution is an elimination of the phases connected to peripheral form of the elastic overlap function. Contrary, we adhere to a relative peripheral form of the {\it inelastic} overlap function with an additional new feature of a maximum at nonzero value of the impact parameter at the highest energies. Phenomenologically, the dynamics of hadron scattering is motivated by a hadron structure with a hard central core presence.

hep-ph↗

Increasing effective intensity of soft strong interactions

We suggest definition of effective interaction intensity for soft hadron collisions and discuss its energy dependence in the preasymptotic region. Practical importance of this quantity consists in separation of rising interaction radius from effective interaction intensity increase both contributing to the total cross--section growth. It would be helpful for understanding the origin of this growth at the accelerator energies. The essential feature is that the effective interaction intensity is an experimentally measurable quantity.

hep-ph↗

Reflective scattering at the LHC and two--scale structure of a proton

We discuss interpretation of the reflective scattering mode connecting its appearance with a resolution of a two--scale structure of a proton revealed in the DVCS process at Jefferson laboratory and in the differential cross--section of elastic $pp$--scattering at the LHC at the energy of $\sqrt{s}=13$ TeV.

hep-ph↗

Centrality in hadron collisions

In hadron interactions at the LHC energies, the reflective scattering mode starts to play a role which is expected to be even a more significant beyond the energies of the LHC. This new but still arguable phenomenon implies a peripheral dependence of the inelastic probability distribution in the impact parameter space and asymptotically evolving to the black ring. As a consequence, the straightforward extension to hadrons of the centrality definition adopted for nuclei needs to be modified.

hep-ph↗