scholarly journals s-Channel Resonance and Energy Dependence of the Forward Peak of High Energy Elastic Scattering

1971 ◽  
Vol 45 (3) ◽  
pp. 810-817
Author(s):  
Noboru Hiroshige ◽  
Masao Shiohara
1971 ◽  
Vol 34 (5) ◽  
pp. 431-434 ◽  
Author(s):  
J.V. Allaby ◽  
A.N. Diddens ◽  
R.W. Robinson ◽  
A. Klovning ◽  
J. Litt ◽  
...  

2019 ◽  
Vol 34 (32) ◽  
pp. 1950259 ◽  
Author(s):  
S. M. Troshin ◽  
N. E. Tyurin

We comment briefly on relations between the elastic and inelastic cross-sections valid for the shadow and reflective modes of the elastic scattering. Those are based on the unitarity arguments. It is shown that the redistribution of the probabilities of the elastic and inelastic interactions (the form of the inelastic overlap function becomes peripheral) under the reflective scattering mode can lead to increasing ratio of [Formula: see text] at the LHC energies. In the shadow scattering mode, the mechanism of this increase is a different one, since the impact parameter dependence of the inelastic interactions probability is central in this mode. A short notice is also given on the slope parameter and the leading contributions to its energy dependence in both modes.


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.


1959 ◽  
Vol 21 (6) ◽  
pp. 879-901 ◽  
Author(s):  
Yoshiyuki Sakamoto ◽  
Tatuya Sasakawa

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