Model-independent result for the imaginary part of forward πHe4 scattering amplitude in unphysical region

1976 ◽  
Vol 26 (11) ◽  
pp. 1262-1270
Author(s):  
S. Dubnička ◽  
V. A. Meshcheryakov
Keyword(s):  
Imaginary Part ◽  
Scattering Amplitude ◽  
Unphysical Region ◽  
Model Independent

FERMION-BOSON SCATTERING IN LADDER APPROXIMATION

1993 ◽  
Vol 08 (03) ◽  
pp. 237-243
Author(s):  
R.G. JAFAROV ◽  
S.A. HADJIEV
Keyword(s):  
Imaginary Part ◽  
Mass Shell ◽  
Scattering Amplitude ◽  
Scalar Particle ◽  
Ladder Approximation ◽  
Forward Scattering ◽  
Forward Scattering Amplitude

A method of calculating the forward scattering amplitude for fermions and scalar bosons with the exchange of scalar particle is suggested. The Bethe-Salpeter ladder equation for the imaginary part of the amplitude is constructed and a solution in Regge asymptotical form is found and the corrections to the amplitude due to the exit from mass shell are calculated.

scholarly journals FORWARD PHYSICS AT THE LHC: ELASTIC SCATTERING

2009 ◽  
Vol 24 (14) ◽  
pp. 2551-2599 ◽  
Author(s):  
R. FIORE ◽  
L. JENKOVSZKY ◽  
R. ORAVA ◽  
E. PREDAZZI ◽  
A. PROKUDIN ◽  
...  
Keyword(s):  
Cross Section ◽  
Scattering Amplitude ◽  
Energy Scale ◽  
Forward Physics ◽  
Black Disk ◽  
Limiting Behavior ◽  
Pion Threshold ◽  
Model Independent ◽  
Ultimate Limit ◽  
Small Period

The following effects in the nearly forward ("soft") region of the LHC are proposed to be investigated: • At small |t| the fine structure of the cone (Pomeron) should be scrutinized: (a) a break of the cone near t ≈ -0.1 GeV 2, due to the two-pion threshold, and required by t-channel unitarity, and (b) possible small-period oscillations between t = 0 and the dip region. • In measuring the elastic pp scattering and total pp cross-section at the LHC, the experimentalists are urged to treat the total cross-section σt, the ratio ρ of real to imaginary part of the forward scattering amplitude, the forward slope B and the luminosity [Formula: see text] as free parameters, and to publish model-independent results on dN/dt. • Of extreme interest are the details of the expected diffraction minimum in the differential cross-section. Its position, expected in the interval 0.4 < -t < 1 GeV 2 at the level of about 10-2 mb · GeV -2–10-1 mb · GeV -2, cannot be predicted unambiguously, and its depth, i.e. the ratio of dσ/dt at the minimum to that at the subsequent maximum (about -t = 5 GeV 2, which is about 5) is of great importance. • The expected slow-down with increasing |t| of the shrinkage of the second cone (beyond the dip-bump), together with the transition from an exponential to a power decrease in -t, will be indicative of the transition from "soft" to "hard" physics. Explicit models are proposed to help in quantifying this transition. • In a number of papers a limiting behavior, or saturation of the black disk limit (BDL), was predicted. This controversial phenomenon shows that the BDL may not be the ultimate limit, instead a transition from shadow to antishadow scattering may by typical of the LHC energy scale.

Measurement of the ratio between the real and the imaginary part of the K−p forward scattering amplitude at 14.3 GeV/c

1976 ◽  
Vol 106 ◽  
pp. 125-135 ◽  
Author(s):  
R.J. de Boer ◽  
P.H.A. Van Dam ◽  
R.W. Meijer ◽  
A.G. Tenner ◽  
H. Winzeler
Keyword(s):  
Imaginary Part ◽  
Scattering Amplitude ◽  
Forward Scattering ◽  
Forward Scattering Amplitude ◽  
The Real

Optisches Potential für hohe Energien

1968 ◽  
Vol 23 (12) ◽  
pp. 1888-1893
Author(s):  
M. Weigel ◽  
D. Mack
Keyword(s):  
Numerical Calculation ◽  
Autocorrelation Function ◽  
Imaginary Part ◽  
Optical Potential ◽  
Scattering Amplitude ◽  
Density Fluctuations ◽  
The Real ◽  
Elementary Derivation ◽  
High Energies

An elementary derivation of the optical potential for high energies is given. For the determination of the optical potential only the knowledge of the scattering amplitude for free nucleons and of the autocorrelation function for density fluctuations is necessary. The numerical calculation of the real- and imaginary part of the optical potential was performed using the Tabakin potential.

scholarly journals PROTON PROFILE FUNCTION AT 52.8 GeV

2007 ◽  
Vol 16 (09) ◽  
pp. 2923-2926 ◽  
Author(s):  
GEOVANNA LUIZ PEREIRA DA SILVA ◽  
MÁRCIO JOSÉ MENON ◽  
REGINA FONSECA ÁVILA
Keyword(s):  
Error Propagation ◽  
Scattering Amplitude ◽  
Profile Function ◽  
Proton Proton ◽  
Section Data ◽  
Elastic Proton ◽  
Model Independent ◽  
Impact Parameter Space ◽  
The Impact ◽  
Novel Model

We present the results of a novel model-independent fit to elastic proton-proton differential cross section data at [Formula: see text]. Taking into account the error propagation from the fit parameters, we determine the scattering amplitude in the impact parameter space (the proton profile function) and its statistical uncertainty region. We show that both the real and imaginary parts of the profile are consistent with two dynamical contributions, one from a central dense region, up to roughly 1 fm and another from a peripheral evanescent region from 1 to 3 fm.

The ratio, ρ, of the real to the imaginary part of the forward elastic scattering amplitude at  TeV

2002 ◽  
Vol 537 (1-2) ◽  
pp. 41-44 ◽  
Author(s):  
C Avila ◽  
W.F Baker ◽  
R DeSalvo ◽  
D.P Eartly ◽  
C Guss ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Imaginary Part ◽  
Scattering Amplitude ◽  
The Real ◽  
Elastic Scattering Amplitude
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