The influence of the nuclear and atomic form factors on the muon bremsstrahlung cross section

1968 ◽  
Vol 46 (10) ◽  
pp. S377-S380 ◽  
Author(s):  
A. A. Petrukhin ◽  
V. V. Shestakov
Keyword(s):  
Form Factor ◽  
Cross Section ◽  
Born Approximation ◽  
Form Factors ◽  
Experimental Results ◽  
Simple Analytical Expression ◽  
Nuclear Form Factor ◽  
The Cross ◽  
Atomic Electrons ◽  
Bremsstrahlung Process

The cross section for the muon bremsstrahlung process is calculated as a function of the nuclear form factor in the Born approximation following the Bethe and Heitler theory. The influence of the nuclear form factor is greater than that taken by Christy and Kusaka. The simple analytical expression for the effect of the screening of the atomic electrons is found. The influence of a decrease in the cross section upon the interpretation of some experimental results is estimated.

scholarly journals Measurement of hadronic form factors at BESIII

2018 ◽  
Vol 172 ◽  
pp. 03002
Author(s):  
Haiming HU
Keyword(s):  
Form Factor ◽  
Cross Section ◽  
Center Of Mass ◽  
Polar Angle ◽  
Form Factors ◽  
Pion Form Factor ◽  
Angle Distribution ◽  
Data Set ◽  
Center Of Mass Energy ◽  
The Cross

The measurements of hadronic form factors of three modes using the data samples collected with the BESIII detector at BEPCII collider are presented. The cross section of e+e- → p p̅ at 12 energies from 2232.4 to 3671.0 MeV are measured, the electromagnetic form factor is deduced, and the ratio |GE/GM| is extracted by fitting the polar angle distribution. The preliminary results about the form factors of e+e- → ∧c+ ⊼c- will also be described. The cross section of e+e- → π+ π-between effective center-of-mass energy 600 and 900 MeV is measured by the ISR return method using the data set with the integrated luminosity of 2.93 fb-1 taken at ψ(3773) peak, the pion form factor is extracted.

THE STRANGENESS CHANGING ANTINEUTRINO REACTION ${\bar\nu}_L+P\longrightarrow\Lambda+L^+$

2005 ◽  
Vol 20 (06) ◽  
pp. 1212-1220 ◽  
Author(s):  
S. L. MINTZ
Keyword(s):  
Form Factor ◽  
Cross Section ◽  
Cross Sections ◽  
Form Factors ◽  
Tau Lepton ◽  
Electric Form Factor ◽  
G Parity ◽  
The Cross ◽  
Pseudoscalar Form Factor ◽  
Near Threshold

We obtain the cross sections for the reactions [Formula: see text] where L is a massive lepton, i.e. a muon or a tau lepton. We do this from near threshold to relativistic energies. We further obtain the contributions of various form factors and interference terms to the cross section with a view to discovering if the contributions from hard to observe form factors such as the weak pseudoscalar form factor, FP, and the weak electric form factor, FE might be obtained via these reactions. The form factor FE is particularly interesting as in the more usually observed p↔n transition it is a second class current and forbidden by G-parity. However in the p↔Λ transition it is not forbidden and it would be desirable to learn if it is present. Finally we discuss our results and prospects for these experiments.

scholarly journals Evaluation of the Compton (Incoherent) and Rayleigh (Coherent) Differential Cross Sections of Scattering for Rhodium 103Rh45 and Tantalum181Ta73 by Employing CSC model

2012 ◽  
Vol 9 (3) ◽  
pp. 554-558 ◽  
Author(s):  
Baghdad Science Journal
Keyword(s):  
Differential Cross Section ◽  
Cross Section ◽  
Cross Sections ◽  
Differential Cross ◽  
Form Factors ◽  
Differential Cross Sections ◽  
The Cross

The differential cross section for the Rhodium and Tantalum has been calculated by using the Cross Section Calculations (CSC) in range of energy(1keV-1MeV) . This calculations based on the programming of the Klein-Nashina and Rayleigh Equations. Atomic form factors as well as the coherent functions in Fortran90 language Machine proved very fast an accurate results and the possibility of application of such model to obtain the total coefficient for any elements or compounds.

A measurement of the cross-section for detachment of electrons from H – by electron impact

1967 ◽  
Vol 299 (1459) ◽  
pp. 525-537 ◽  
Keyword(s):  
Cross Section ◽  
Born Approximation ◽  
Theoretical Calculations ◽  
Functional Dependence ◽  
Incident Electron ◽  
Incident Electron Energy ◽  
Measured Cross Section ◽  
Neutral Particles ◽  
Beam Method ◽  
The Cross

A crossed beam method has been used to measure the cross-section for the production of neutral particles in single collisions of electrons with H - ions at incident electron energies from 9 to 500 eV. The measured cross-section reaches a maximum of 50 Å 2 at an energy of 14 eV, and may be represented by the function Q = (1-1.6/( E log 10 E ) ½ )950/ E log 10 E /0·92, where the cross-section Q is in units of Å 2 and the incident electron energy E in units of electronvolts. The magnitude and functional dependence of the cross-section agree well with theoretical calculations based on the Bethe-Born approximation at energies above 20 eV.

Behavior of porosity in billet during rolling process of rail

2019 ◽  
Vol 116 (6) ◽  
pp. 607 ◽  
Author(s):  
Rong Cheng ◽  
Jiongming Zhang ◽  
Liangjin Zhang ◽  
Haitao Ma
Keyword(s):  
Simulation Model ◽  
Cross Section ◽  
Rolling Process ◽  
Experimental Results ◽  
Short Cracks ◽  
Industrial Experiments ◽  
Isosceles Trapezoid ◽  
The Cross

Unlike traditional rolling processes, reduction of rolling process of rail is along two vertical directions and the broadening of rolled piece is controlled. In this study, industrial experiments and a simulation model of the rolling process of rail were conducted to investigate the behaviors of porosities in billet during the rolling process of rail. The experimental and simulated results revealed that porosities moved toward the center on the cross section of the rolled piece and the porosities region reduced from a rectangle with the size (76.7 × 93.3 mm) to an isosceles trapezoid with the size {(12.8 + 18.5 mm) × 47.2 mm} during the rolling process of rail. The shapes of the porosities changed from circles with the diameters smaller than 6 mm to short cracks with the lengths shorter than 10 mm on the cross section. The two vertical reduction directions and the controlled broadening of rolled piece both counted against the closure of porosity. The simulated results were mostly in agreement with the experimental results.

An Improved Calculation of the Multiphoton Bremsstrahlung Process in the Presence of a Laser Beam

1977 ◽  
Vol 30 (1) ◽  
pp. 33
Author(s):  
Rama Acharya ◽  
Man Mohan
Keyword(s):  
Laser Beam ◽  
Cross Section ◽  
Coulomb Field ◽  
Final States ◽  
The Cross ◽  
Bremsstrahlung Process

It has been noted previously that analyses of free-free transitions in the presence of an ion are appreciably affected by neglecting the Coulomb field of the ion at infinity. We have therefore made here an improved calculation of the cross section for the multiphoton bremsstrahlung process by taking account of the Coulomb field in the initial and final states.

The Scattering of Positrons by Helium: Total Cross Sections up to 270 eV

1975 ◽  
Vol 53 (10) ◽  
pp. 962-967 ◽  
Author(s):  
B. Jaduszliwer ◽  
A. Nakashima ◽  
D. A. L. Paul
Keyword(s):  
Energy Range ◽  
Cross Section ◽  
Cross Sections ◽  
Born Approximation ◽  
Reasonable Agreement ◽  
Experimental Results ◽  
Formation Cross Section ◽  
Sum Rule ◽  
Total Cross Sections ◽  
High Energies

The total cross sections for the scattering of positrons by helium have been measured by the method of transmission in the 16 to 270 eV energy range. The experimental results are higher than those of Canter et al. but are in reasonable agreement with recent results of Griffith et al., and at high energies tend towards Born approximation calculations. The integral of the cross section over positron momentum is smaller than the sum rule estimate made by Bransden et al. A tentative value of (0.034 ± 0.017)πa02 is assigned to the positronium formation cross section at threshold.

scholarly journals Sudakov Form Factors in Leptoproduction of Vector Mesons

1997 ◽  
Vol 12 (35) ◽  
pp. 2717-2723
Author(s):  
I. M. Dremin
Keyword(s):  
Cross Section ◽  
Form Factors ◽  
Model Parameters ◽  
Vector Mesons ◽  
Large Size ◽  
Color Dipole ◽  
Order Of Magnitude ◽  
The Cross ◽  
Qcd Inspired Model

It is shown that Sudakov form factors for a color dipole in a QCD-inspired model of leptoproduction of vector mesons reduce the value of the cross-section of the process by an order of magnitude. They suppress the large size quark–antiquark pairs and unequal sharing of energy among the components of the dipole. Some freedom in the choice of the model parameters is also discussed.

Gaussian deconvolution: a useful method for a form-free modeling of scattering data from mono- and multilayered planar systems

2012 ◽  
Vol 45 (6) ◽  
pp. 1278-1286 ◽  
Author(s):  
Cristiano L. P. Oliveira ◽  
Barbara B. Gerbelli ◽  
Emerson R. T. Silva ◽  
Frédéric Nallet ◽  
Laurence Navailles ◽  
...  
Keyword(s):  
Form Factor ◽  
Electron Density ◽  
Cross Section ◽  
Density Profile ◽  
Structure Factor ◽  
Electron Density Profile ◽  
Scattering Data ◽  
Planar Systems ◽  
The Cross ◽  
Section Structure

A new method for analysis of scattering data from lamellar bilayer systems is presented. The method employs a form-free description of the cross-section structure of the bilayer and the fit is performed directly to the scattering data, introducing also a structure factor when required. The cross-section structure (electron density profile in the case of X-ray scattering) is described by a set of Gaussian functions and the technique is termed Gaussian deconvolution. The coefficients of the Gaussians are optimized using a constrained least-squares routine that induces smoothness of the electron density profile. The optimization is coupled with the point-of-inflection method for determining the optimal weight of the smoothness. With the new approach, it is possible to optimize simultaneously the form factor, structure factor and several other parameters in the model. The applicability of this method is demonstrated by using it in a study of a multilamellar system composed of lecithin bilayers, where the form factor and structure factor are obtained simultaneously, and the obtained results provided new insight into this very well known system.

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