MULTIPARTICLE PRODUCTION FROM THE COHERENT SUPERPOSITION OF STRING-LIKE ENTITIES OVER THE IMPACT-PARAMETER PLANE

1987 ◽  
Vol 02 (09) ◽  
pp. 693-697 ◽  
Author(s):  
SAUL BARSHAY
Keyword(s):  
Impact Parameter ◽  
Particle Production ◽  
Multiplicity Distribution ◽  
Parameter Plane ◽  
Minimum Length ◽  
Natural Feature ◽  
Large Numbers ◽  
New Interpretation ◽  
Energy Dependent ◽  
The Impact

We construct a coherent-model amplitude for n-particle production, which gives rise to the multiplicity distribution <n>Pn = KK/Γ(K)(n/<n>K−1e−K(n/<n>). A natural feature is a new interpretation of the parameter K in terms of an energy-dependent minimum length for a multitude of string-like entities which are stretched forward and backward along the collision direction, over the entire impact-parameter plane. The continuous decrease of K with increasing [Formula: see text] corresponds to the appearance of strings of decreasing length, which leads directly to a continuous broadening of the multiplicity distribution through the emission, with significant probability, of large numbers of, presumably soft, particles.

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.

INTRINSIC MULTIPLICITY IN HADRON-HADRON COLLISIONS AND ITS IMPACT-PARAMETER DEPENDENCE

1989 ◽  
Vol 04 (11) ◽  
pp. 1079-1083 ◽  
Author(s):  
T.T. CHOU
Keyword(s):  
Impact Parameter ◽  
Multiplicity Distribution ◽  
Parameter Dependence ◽  
Large Fluctuation ◽  
Geometrical Description ◽  
Large Spread ◽  
The Impact

As an improvement on the geometrical description of multiparticle emission in hadron-hadron collisions, a concept of intrinsic multiplicity n0 at fixed impact parameter is introduced. The observed large fluctuation in multiplicity distribution is attributed to (i) the large spread in the intrinsic multiplicity n0, and (ii) the Poissonian fluctuation about n0 for each b. The dependence of the intrinsic multiplicity on the impact-parameter is estimated for [Formula: see text] collisions at 540 GeV.

Poles in the impact parameter plane

1969 ◽  
Vol 62 (2) ◽  
pp. 604-614 ◽  
Author(s):  
N. W. Dean
Keyword(s):  
Impact Parameter ◽  
Parameter Plane ◽  
The Impact

scholarly journals On the transverse size of hadrons at asymptotically high energies

2020 ◽  
Vol 35 (38) ◽  
pp. 2050314
Author(s):  
M. L. Nekrasov
Keyword(s):  
Transverse Momentum ◽  
Impact Parameter ◽  
Momentum Space ◽  
Parameter Plane ◽  
Square Root ◽  
Transverse Size ◽  
High Energies ◽  
The Impact ◽  
Logarithmic Growth

We show that Gribov diffusion of the partons in the impact parameter plane, which leads to the square-root-of-logarithmic growth of the transverse size of the hadrons, can occur only simultaneously with a similar diffusion in the transverse-momentum space. At the same time, a restriction of the partons in the transverse momenta entails an increase in their propagation in the impact parameter plane. Ultimately this leads to a logarithmic growth of the transverse size of hadrons at asymptotically high energies.

Regge-like poles in the impact parameter plane

1967 ◽  
Vol 52 (4) ◽  
pp. 1129-1151 ◽  
Author(s):  
N. W. Dean
Keyword(s):  
Impact Parameter ◽  
Parameter Plane ◽  
The Impact

Compound multiplicity in the collisions of 4.1 A GeV/c 22Ne nuclei with nuclear emulsion

2002 ◽  
Vol 80 (2) ◽  
pp. 109-117 ◽  
Author(s):  
Z Abou-Moussa
Keyword(s):  
Impact Parameter ◽  
Linear Dependence ◽  
Nuclear Emulsion ◽  
Mass Number ◽  
Multiplicity Distribution ◽  
Charged Particles ◽  
Heavy Charged Particles ◽  
Target Mass ◽  
Compound Multiplicity ◽  
The Impact

This work displays a study of the compound multiplicity characteristics of 4.1 A GeV/c 22Ne–emulsion interactions, where the number of shower and grey particles taken together is termed as compound multiplicity, Nc. The present data are compared with the corresponding ones obtained for other projectiles at nearly the same momentum per nucleon. It is observed that while the average compound multiplicity depends on the mass number of the projectile, Ap, the value of the ratio <Nc>/D(Nc) seems to be independent of Ap. The impact parameter is found to affect the shape of the compound multiplicity distribution. A positive linear dependence of the compound multiplicity on both the black and heavy charged particles is also noted. Finally, the results indicate that the value of <Nc> depends also on the target mass number. PACS No.: 25.70

Impact Parameter Representation of the Scattering Amplitude

1971 ◽  
Vol 49 (14) ◽  
pp. 1885-1898 ◽  
Author(s):  
M. Razavy
Keyword(s):  
Elastic Scattering ◽  
Phase Shift ◽  
Differential Cross Section ◽  
Cross Section ◽  
Impact Parameter ◽  
Differential Cross ◽  
Scattering Amplitude ◽  
Potential Methods ◽  
Energy Dependent ◽  
The Impact

From the Lippmann–Schwinger equation, the exact and different approximate relations for the impact parameter form of the total scattering amplitude on- and off-the-energy shell are derived. The relation between the impact parameter phase shift and the range of potential is studied, and several methods of determining the potential from the impact parameter phase shift for local, nonlocal, and energy dependent interactions are obtained in Blankenbecler and Goldberger's approximation. By considering solvable examples it is shown that the Glauber's approximation, in certain cases, may be valid for all scattering angles. Finally for completely elastic scattering or for a purely absorptive potential, methods of finding the impact parameter phase shift from the differential cross section for scattering are given.

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