Collinearly improved kernel suppresses Coulomb tails in the impact-parameter dependent Balitsky-Kovchegov evolution

Abstract We first revisit impact-parameter dependent collisions of ultra-relativistic particles in quantum field theory. Two conditions sufficient for defining an impact-parameter dependent cross section are given, which could be violated in proton-proton collisions. By imposing these conditions, a general formula for the impact-parameter dependent cross section is derived. Then, using soft-collinear effective theory, we derive a factorization formula for the impact-parameter dependent cross section for inclusive hard processes with only colorless final-state products in hadron and nuclear collisions. It entails defining thickness beam functions, which are Fourier transforms of transverse phase-space parton distribution functions. By modelling non-perturbative modes in thickness beam functions of large nuclei in heavy-ion collisions, the factorization formula confirms the cross section in the Glauber model for hard processes. Besides, the factorization formula is verified up to one loop in perturbative QCD for the inclusive Drell-Yan process in quark-antiquark collisions at a finite impact parameter.

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Interpretation of the impact parameter of acid-base status and electrolytes in blood gas analysis in the pulmonary system using artificial intelligence techniques

Computer Science and Systems Engineering ◽

10.2495/csse140691 ◽

2015 ◽

Author(s):

E. Beganović ◽

Z. Avdagić ◽

S. Omanović

Keyword(s):

Artificial Intelligence ◽

Impact Parameter ◽

Blood Gas Analysis ◽

Gas Analysis ◽

Blood Gas ◽

Acid Base ◽

Artificial Intelligence Techniques ◽

Pulmonary System ◽

Acid Base Status ◽

The Impact

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A note on the relations between elastic and inelastic interactions and increasing ratio σel(s)/σtot(s) at the LHC

Modern Physics Letters A ◽

10.1142/s0217732319502596 ◽

2019 ◽

Vol 34 (32) ◽

pp. 1950259 ◽

Cited By ~ 5

Author(s):

S. M. Troshin ◽

N. E. Tyurin

Keyword(s):

Elastic Scattering ◽

Energy Dependence ◽

Impact Parameter ◽

Cross Sections ◽

Parameter Dependence ◽

Slope Parameter ◽

Short Notice ◽

Inelastic Interactions ◽

The Impact ◽

Mode A

We comment briefly on relations between the elastic and inelastic cross-sections valid for the shadow and reflective modes of the elastic scattering. Those are based on the unitarity arguments. It is shown that the redistribution of the probabilities of the elastic and inelastic interactions (the form of the inelastic overlap function becomes peripheral) under the reflective scattering mode can lead to increasing ratio of [Formula: see text] at the LHC energies. In the shadow scattering mode, the mechanism of this increase is a different one, since the impact parameter dependence of the inelastic interactions probability is central in this mode. A short notice is also given on the slope parameter and the leading contributions to its energy dependence in both modes.

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SOME CHARACTERISTICS OF THE COMPOUND MULTIPLICITY IN HIGH-ENERGY NUCLEUS–NUCLEUS INTERACTIONS

International Journal of Modern Physics E ◽

10.1142/s0218301311019532 ◽

2011 ◽

Vol 20 (08) ◽

pp. 1735-1754 ◽

Cited By ~ 8

Author(s):

M. MOHERY ◽

M. ARAFA

Keyword(s):

Experimental Data ◽

Impact Parameter ◽

Mass Number ◽

Multiplicity Distribution ◽

High Energy ◽

Projectile Nucleus ◽

Target Mass ◽

Compound Multiplicity ◽

Multiplicity Distributions ◽

The Impact

The present paper deals with the interactions of 22 Ne and 28 Si nuclei at (4.1–4.5)A GeV /c with emulsion. Some characteristics of the compound multiplicity nc given by the sum of the number of shower particles ns and grey particles ng have been investigated. The present experimental data are compared with the corresponding ones calculated according to modified cascade evaporation model (MCEM). The results reveal that the compound multiplicity distributions for these two reactions are consistent with the corresponding ones of MCEM data. It can also be seen that the peak of these distributions shifts towards a higher value of nc with increasing projectile mass. It may further be seen that the compound multiplicity distributions becomes broader with increasing target size and its width increases with the size of the projectile nucleus. In addition, it has been found that the MCEM can describe the compound multiplicity characteristics of the different projectile, target and the correlation between different emitted particles. The values of average compound multiplicity increase with increasing mass of the projectile. Furthermore, it is observed that while the value of 〈nc〉 depends on the mass number of the projectile Ap and the target mass number At, the value of the ratio 〈nc〉/D(nc) seems to be independent of Ap and At. The impact parameter is found to affect the shape of the compound multiplicity distribution. Finally, the dependence of the average compound multiplicity on the numbers of grey and black particles, and the sum of them, is obvious. The values of the slope have been found to be independent of the projectile nucleus.

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