scholarly journals Calculation of the triple and double cross sections in the proton-hydrogen impact at the ionization channel by removing singularity in the scattering amplitudes

2019 ◽  
Vol 19 (3) ◽  
2013 ◽  
Vol 28 (12) ◽  
pp. 1330008 ◽  
Author(s):  
ROBERTO FRANCESCHINI

Recent results on the application of the method of the effective quanta to the case of WW scattering are reviewed. In particular, it is reviewed how effective W bosons can be used to compute scattering amplitudes in a generalized Effective W Approximation (gEWA). The physical origin and the expected size of the discrepancy between the exact computation and the gEWA computation are discussed. Particular attention is devoted to the peculiarities of the formulation of the gEWA for processes that involve longitudinal W bosons. These formal results are checked through explicit numerical calculations of both scattering amplitudes and scattering cross-sections. Furthermore, the use of the gEWA for the interpretation and for the presentation of the measurement of WW scattering at the LHC is briefly discussed.


1988 ◽  
Vol 48 (1) ◽  
pp. 79-98 ◽  
Author(s):  
George Dassios ◽  
Vassilis Kostopoulos

The neutron velocity selector of the Cavendish Laboratory has been used to measure the scattering cross-sections of ortho- and para -hydrogen for slow neutrons. The triplet and singlet scattering amplitudes of the neutron-proton interaction may be deduced from these cross-sections. The values obtained are a t = (0·537 ± 0·004) x 10 -12 cm, a s = -(2·373 ±0·007) x 10 -12 cm, where a t and a s are the triplet and singlet scattering amplitudes respectively. The values of the coherent scattering amplitude ƒ = 2(3/4 a +1/4 a ), and of the free proton cross-section σ ƒ = 4π(3/4 a 2 t + 1/4 a 2 s given by the above values of a t and a s , are ƒ = -(0·380 ± 0·005) x 10 -12 cm, σ ƒ = (20·41 ± 0·14) x 10 -24 cm 2 .


1989 ◽  
Vol 49 (4) ◽  
pp. 1283-1284 ◽  
Author(s):  
George Dassios ◽  
Vassilis Kostopoulos

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