THE FORWARD PEAK OF ELASTIC HARDON-HADRON SCATTERING AND UNITARITY BOUNDS FOR THE DIFFERENTIAL CROSS-SECTION

1992 ◽  
Vol 07 (21) ◽  
pp. 1905-1913 ◽  
Author(s):  
M. KAWASAKI ◽  
T. MAEHARA ◽  
M. YONEZAWA

Unitarity bounds for the differential cross-section of high-energy elastic hadron-hadron scattering are obtained under the constraints of fixed total cross-section σt, elasticity x, real part to imaginary part ratio ρ of the forward scattering amplitude, and forward slope b by assuming a finite interaction range. The obtained upper bound has an observed curvature structure at small momentum transfers and is nearly saturated by the experimental data of pp and [Formula: see text] scattering at −t=0−0.3 (GeV/c)2 in the energy region [Formula: see text] , if we take the interaction radius scaled as [Formula: see text].

2015 ◽  
Vol 30 (14) ◽  
pp. 1550076 ◽  
Author(s):  
F. Nemes ◽  
T. Csörgő ◽  
M. Csanád

The Bialas–Bzdak model of elastic proton–proton scattering assumes a purely imaginary forward scattering amplitude, which consequently vanishes at the diffractive minima. We extended the model to arbitrarily large real parts in a way that constraints from unitarity are satisfied. The resulting model is able to describe elastic pp scattering not only at the lower ISR energies but also at [Formula: see text] in a statistically acceptable manner, both in the diffractive cone and in the region of the first diffractive minimum. The total cross-section as well as the differential cross-section of elastic proton–proton scattering is predicted for the future LHC energies of [Formula: see text], 14, 15 TeV and also to 28 TeV. A nontrivial, significantly nonexponential feature of the differential cross-section of elastic proton–proton scattering is analyzed and the excitation function of the nonexponential behavior is predicted. The excitation function of the shadow profiles is discussed and related to saturation at small impact parameters.


2009 ◽  
Vol 23 (20n21) ◽  
pp. 2573-2584 ◽  
Author(s):  
A. R. MKRTCHYAN ◽  
A. A. SAHARIAN ◽  
V. V. PARAZIAN

In the present paper, we investigate coherent bremsstrahlung of high energy electrons moving in a periodically deformed single crystal with a complex base. The formula for corresponding differential cross-section is derived for an arbitrary deformation field. The conditions are discussed under which the influence of the deformation is important. The case is considered in detail when the electron enters into the crystal at small angles with respect to a crystallographic axis. It is shown that in dependence of the parameters, the presence of the deformation can either enhance or reduce the bremsstrahlung cross-section.


2001 ◽  
Vol 87 (10) ◽  
Author(s):  
E. C. Schulte ◽  
A. Ahmidouch ◽  
C. S. Armstrong ◽  
J. Arrington ◽  
R. Asaturyan ◽  
...  

1988 ◽  
Vol 03 (12) ◽  
pp. 1199-1203 ◽  
Author(s):  
XIAO-GANG HE ◽  
H. LEW

In models with physical charged Higgs bosons, the angular distribution of dū→γH− exhibits a factorization property. The differential cross section has a zero at the scattering cos -1(-⅓) in the γH− C.M. frame. The processes [Formula: see text] are also studied. It is found, at high energies, that the contribution of the sea quarks are significant enough to wash the zero away.


1989 ◽  
Vol 67 (6) ◽  
pp. 545-561
Author(s):  
W. Del Bianco ◽  
M. Carignan

The dependence of the bremsstrahlung perpendicular and parallel triple differential cross sections and the linear polarization on the angles and energies of the incident and scattered electron and of the emitted gamma-ray has been studied in the high-energy small-angle hypothesis. The expression used for the bremsstrahlung triple differential cross section is valid in the Born approximation and for an unscreened Coulomb potential of the nucleus.


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