Rearrangement collisions: two-particle exchange

1964 ◽  
Vol 277 (1369) ◽  
pp. 206-213 ◽  
Keyword(s):  
Energy Dependence ◽  
Cross Section ◽  
Born Approximation ◽  
High Energy ◽  
Electron Exchange ◽  
Final States ◽  
Particle Exchange ◽  
Exchange Cross Section

It is shown that the first Bom approximation for the exchange of two uncorrelated electrons should vanish. A formalism for the T matrix is presented which has this property. The high-energy result for the two-electron exchange cross-section previously calculated in first Born approximation behaves like E -7 . This result is in error due to a lack of orthogonality of initial and final states. When this is corrected the result for uncorrelated electrons has an energy dependence E -11 . The introduction of correlation gives terms behaving like E -10 which cannot be calculated unam biguously.

SEL Cross Section Energy Dependence Impact on the High Energy Accelerator Failure Rate

2014 ◽  
Vol 61 (6) ◽  
pp. 2936-2944 ◽  
Author(s):  
Ruben Garcia Alia ◽  
Ewart W. Blackmore ◽  
Markus Brugger ◽  
Salvatore Danzeca ◽  
Veronique Ferlet-Cavrois ◽  
...  
Keyword(s):  
Energy Dependence ◽  
Cross Section ◽  
Failure Rate ◽  
High Energy ◽  
High Energy Accelerator

Bremsstrahlung linear polarization

1989 ◽  
Vol 67 (6) ◽  
pp. 545-561
Author(s):  
W. Del Bianco ◽  
M. Carignan
Keyword(s):  
Differential Cross Section ◽  
Cross Section ◽  
Cross Sections ◽  
Linear Polarization ◽  
Differential Cross ◽  
Born Approximation ◽  
Gamma Ray ◽  
High Energy ◽  
Scattered Electron ◽  
Triple Differential Cross Section

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.

Hadron reactions study with the CMD-3 detector in e+e− collisions

2016 ◽  
Vol 31 (33) ◽  
pp. 1630038
Author(s):  
E. P. Solodov ◽  
A. N. Amirkhanov ◽  
A. V. Anisenkov ◽  
V. M. Aulchenko ◽  
V. S. Banzarov ◽  
...  
Keyword(s):  
Energy Range ◽  
Invariant Mass ◽  
Energy Dependence ◽  
Cross Section ◽  
Cross Sections ◽  
Final States ◽  
Preliminary Results ◽  
Mass Distributions ◽  
Electron Positron ◽  
Intermediate States

The CMD-3 detector has been taking data since December 2010 at the VEPP-2000 electron–positron collider. The collected data sample corresponds to about 60 inverse picobarn of integrated luminosity in the c.m. energy range from 0.32 GeV to 2.0 GeV. Preliminary results of the analysis of various hadronic cross-sections, in particular, [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], 3[Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] are presented. The processes with multi-hadron final states have several intermediate states which have to be taken into account to correctly describe the angular and invariant mass distributions, as well as cross-section energy dependence.

The absorption of high-energy photons in matter

1958 ◽  
Vol 244 (1237) ◽  
pp. 245-258 ◽  
Keyword(s):  
Pair Production ◽  
Cross Section ◽  
Cross Sections ◽  
Born Approximation ◽  
Liquid Scintillation ◽  
Scintillation Counter ◽  
High Energy ◽  
A Value ◽  
Peak Energy ◽  
Better Than

Total absorption cross-sections of hydrogen, carbon, copper, silver, lead and uranium have been measured for photons of mean energy 94 MeV. The method was to measure the transmission through an absorber of photons from the Oxford synchrotron, using a biased liquid scintillation counter to select photons of energy near the peak energy of the machine. The experimental data for hydrogen have been used to deduce a value for the cross-section for pair production in the field of the electron of 4.7 ± 0.4 millibarn. The relative cross-sections for the heavier elements have been determined to better than ± 0.2 %, and confirm the most recent calculations of the correction to the Born approximation in the theory of pair production.

CORRELATED NUCLEON EMISSION IN PERIPHERAL RELATIVISTIC HEAVY ION COLLISIONS

1993 ◽  
Vol 08 (13) ◽  
pp. 2287-2296
Author(s):  
L. L. BARZ ◽  
A. F. R. de TOLEDO PIZA
Keyword(s):  
Cross Section ◽  
Born Approximation ◽  
Heavy Ion Collisions ◽  
Short Range ◽  
Heavy Ion ◽  
Relativistic Heavy Ion Collisions ◽  
Final States ◽  
Ion Collisions ◽  
Nucleon Emission ◽  
Short Range Correlations

The effects of short range correlations for two nucleon emission in peripheral relativistic heavy ion collisions are investigated. The cross section is calculated in Born approximation with properly orthogonalized initial and final states.

Resonance charge transfer between H(1s) and H + calculated by means of an approximation based on an expansion in atomic eigenfunctions

1961 ◽  
Vol 264 (1319) ◽  
pp. 547-557 ◽  
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Atomic Hydrogen ◽  
High Energy ◽  
Wave Functions ◽  
Final States ◽  
Energy Limit ◽  
Full Account ◽  
The Cross ◽  
Resonance Charge

An expression for the cross-section describing electron capture by protons in atomic hydrogen is derived from an expansion based on atomic wave functions. Full account is taken of momentum transfer and of the non-orthogonality of the wave functions of the initial and final states by the method due to Bates. The cross-sections have been computed for proton energies from 100 to 1 MeV. In the low energy limit, the results agree with the p.s.s. calculations of Dalgarno & Yadav and in the high energy limit with the calculations of Brinkm an & Kramers.

Second Born approximation to the Bremsstrahlung differential cross-section

1959 ◽  
Vol 253 (1272) ◽  
pp. 103-120 ◽  
Keyword(s):  
Differential Cross Section ◽  
Pair Production ◽  
Cross Section ◽  
Coulomb Potential ◽  
Differential Cross ◽  
Born Approximation ◽  
Yukawa Potential ◽  
Final States ◽  
The Cross ◽  
Cross Section Differential

In this paper we calculate the second Born approximation contribution to the Bremsstrahlung cross-section differential in both the photon and electron angles. This is divergent if a Coulomb potential is considered, but it is found, on following the idea of Dalitz (1951), that all observable quantities turn out to be finite when we perform the calculation for a Yukawa potential and take the limit of zero screening. It is shown that this is true to order Z 3 in the differential cross-section before it is averaged over spins, and the cross-section is calculated explicitly for the case of an unpolarized beam when the final states of polarization are not observed. Further, it is pointed out that the same methods can be applied satisfactorily in the case of pair production.

Energy Dependence of the 180°π−pCharge-Exchange Cross section

1969 ◽  
Vol 22 (12) ◽  
pp. 618-621 ◽  
Author(s):  
V. Kistiakowsky ◽  
R. K. Yamamoto ◽  
R. D. Klem ◽  
P. Marcato ◽  
I. A. Pless ◽  
...  
Keyword(s):  
Energy Dependence ◽  
Cross Section ◽  
Exchange Cross Section
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