scholarly journals Analytic Property of Impact Parameter Amplitude

1966 ◽  
Vol 35 (3) ◽  
pp. 576-578 ◽  
Author(s):  
Toshimi Adachi ◽  
Tsuneyuki Kotani
Keyword(s):  
Impact Parameter ◽  
Analytic Property

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

2019 ◽  
Vol 34 (32) ◽  
pp. 1950259 ◽  
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.

scholarly journals Distinguishing hadronic cascades from hydrodynamic models inPb(160A GeV)+Pbreactions by impact parameter variation

1999 ◽  
Vol 59 (4) ◽  
pp. R1844-R1845 ◽  
Author(s):  
M. Bleicher ◽  
M. Reiter ◽  
A. Dumitru ◽  
J. Brachmann ◽  
C. Spieles ◽  
...  
Keyword(s):  
Impact Parameter ◽  
Parameter Variation ◽  
Hydrodynamic Models

scholarly journals Estimation of impact parameter and transverse spherocity in heavy-ion collisions at the LHC energies using machine learning

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Neelkamal Mallick ◽  
Sushanta Tripathy ◽  
Aditya Nath Mishra ◽  
Suman Deb ◽  
Raghunath Sahoo
Keyword(s):  
Machine Learning ◽  
Impact Parameter ◽  
Heavy Ion Collisions ◽  
Heavy Ion ◽  
Ion Collisions

Impact parameter dependence ofK-shell excitation probabilities in Ar ? Ar-collisions

1982 ◽  
Vol 304 (2) ◽  
pp. 177-183 ◽  
Author(s):  
H. Schmidt-B�cking ◽  
H. Baumann ◽  
K. Bethge ◽  
A. Gruppe ◽  
W. Schadt ◽  
...  
Keyword(s):  
Impact Parameter ◽  
Parameter Dependence

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

2011 ◽  
Vol 20 (08) ◽  
pp. 1735-1754 ◽  
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.

Molecular models for recombination and disproportionation of radicals

1983 ◽  
Vol 61 (5) ◽  
pp. 881-887 ◽  
Author(s):  
Sidney W. Benson
Keyword(s):  
Long Range ◽  
Impact Parameter ◽  
Ad Hoc ◽  
Active Surface ◽  
Weakly Bound ◽  
Range Interaction ◽  
Surface Areas ◽  
Long Range Interaction ◽  
Increasing Temperature ◽  
Radical Disproportionation

The modified Gorin model of recombination as a long range interaction of weakly bound radicals, constrained only by steric forces, is rederived to give a collision impact parameter 11% larger than rmax, the separation at the centrifugal maximum. This larger impact parameter resolves some of the earlier difficulties with secondary and tertiary radicals. By imposing a new constraint, that the orientation of the radicals be such as to permit exchange forces to act, a new model is developed in which kr = 1/4 Zr α, where a represents the product of fractions of active surface areas of each radical available for bonding. Excellent agreement is obtained in estimating values of kr.Analysis of disproportionation is made to show that it cannot be described by the tight transition state but must also be governed by similar, long range exchange forces between the bond being attacked and the same "active surface" of the abstracting radical. Using an ad hoc radius for [Formula: see text]equal to 4 Å it is possible to reproduce the data on alkyl radical disproportionation to within ± 10%.The model predicts a small decrease in rate of recombination with increasing temperature. This decrease is more pronounced for bulkier radicals and at higher temperatures (> 900 K).

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