Scattering amplitude representation in the complex impact-parameter plane

1975 ◽  
Vol 25 (2) ◽  
pp. 289-302 ◽  
Author(s):  
F. Paccanoni
Keyword(s):  
Impact Parameter ◽  
Scattering Amplitude ◽  
Parameter Plane

Impact Parameter Representations

1972 ◽  
Vol 50 (16) ◽  
pp. 1862-1875 ◽  
Author(s):  
A. N. Kamal
Keyword(s):  
Wave Function ◽  
Impact Parameter ◽  
Momentum Space ◽  
Scattering Amplitude ◽  
Function Approach ◽  
Coordinate Space ◽  
Energy Shell ◽  
Parameter Representation ◽  
The Relationship

A discussion of the Glauber and Blankenbecler–Goldberger impact parameter representation for the scattering amplitude is presented with emphasis on the wave function approach. The treatment makes clear the relationship between the approximations made to derive either of the two amplitudes. Both on-energy-shell and off-energy-shell scatterings are treated. A derivation of the two representations in momentum space is presented bringing out the relationship between the approximations in a coordinate space treatment and the momentum space treatment.

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.

On the possibility of gluon number fluctuations in diffractive deep inelastic scattering data with impact parameter

2016 ◽  
Vol 31 (33) ◽  
pp. 1650186
Author(s):  
Z. Hu ◽  
W. Xiang ◽  
S. Cai
Keyword(s):  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Impact Parameter ◽  
Scattering Amplitude ◽  
Global Analysis ◽  
High Energy ◽  
Scattering Data ◽  
Deep Inelastic Scattering Data ◽  
Saturation Exponent ◽  
The Impact

A global analysis of the latest diffractive deep inelastic scattering (DIS) data with gluon number fluctuations and impact parameter is performed. The impact parameter is introduced into the scattering amplitude by saturation scale with a Gaussian b-dependence. The results show that the description of the diffractive DIS data is improved once the gluon number fluctuations and impact parameter are included, with [Formula: see text]/d.o.f = 0.878, [Formula: see text]/d.o.f = 0.928 and [Formula: see text]/d.o.f = 0.897 in different sets of free parameters. Moreover, we find that the impact parameter ([Formula: see text] 0.1) is possibly compressed by the gluon number fluctuations, which leads to the value of saturation exponent returning to [Formula: see text] 0.2. This outcome is compatible with the prediction that the saturation exponent is dominated by the fluctuations at sufficiently high energy, which may indicate the possibility of gluon number fluctuations in diffractive DIS data.

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.

Real part of scattering amplitude at ultrahigh energies

2015 ◽  
Vol 30 (30) ◽  
pp. 1550188 ◽  
Author(s):  
V. V. Anisovich ◽  
V. A. Nikonov ◽  
J. Nyiri
Keyword(s):  
Impact Parameter ◽  
Parameter Space ◽  
Scattering Amplitude ◽  
Black Disk ◽  
Asymptotic Regime ◽  
The Real ◽  
Impact Parameter Space ◽  
The Impact

On the basis of requirements of unitarity and analyticity we analyze the real and imaginary parts of the scattering amplitude at recent ultrahigh energies, [Formula: see text]. The predictions for the region [Formula: see text] and [Formula: see text] are given supposing the black disk asymptotic regime. It turns out that the real part of the amplitude is concentrated in the impact parameter space at the border of the black disk.

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