Rising cross-section and the real part of the forward amplitude in proton-proton scattering

1973 ◽  
Vol 7 (15) ◽  
pp. 745-749 ◽  
Author(s):  
P. Kroll
Author(s):  
C. BOURRELY ◽  
J. SOFFER ◽  
N. N. KHURI ◽  
ANDRÉ MARTIN ◽  
T. T. WU

2007 ◽  
Vol 16 (09) ◽  
pp. 2910-2914
Author(s):  
MÁRCIO JOSÉ MENON ◽  
REGINA FONSECA ÁVILA

We discuss novel dispersion relations in differential form, connecting real and imaginary parts of elastic scattering amplitudes and formally valid at any energy above the physical threshold. By means of fits to total cross section data from proton-proton and antiproton-proton scattering, we evaluate the corresponding ratio ρ between the real and imaginary parts of the forward amplitudes. We show that the results are exactly the same as those obtained through standard integral dispersion relations.


In proton-proton scattering, when both incident and target protons have polarizations of P 1 and P 2 respectively in a direction normal to the plane of scattering, the differential cross-section, σ, at angle θ is given by σ( θ ) = σ 0 ( θ ) {1 + ( P 1 + P 2 ) P 3 ( θ ) + P 1 P 2 C NN ( θ )}. P 3 ( θ ) and C NN ( θ ) are the polarization and spin-correlation parameters of proton-proton scattering, and are functions of incident proton energy and scattering angle. The Harwell synchrocyclotron provides a choice of two proton beams at an energy of 142MeV ( a ) high intensity P 1 = 0, and ( b ) low intensity P 1 = ±0.48. P 3 ( θ ) is a well-known quantity, and the two remaining unknowns, P 2 and C NN ( θ ) can be obtained by comparing differential cross-sections measured with beams ( a ) and ( b ). Somewhat higher precision is obtainable in such a measurement of the target polarization P 2 than by either of the existing solid-state methods (Schmugge & Jeffries 1962; Abragam, Borghini & Chapellier 1962).


1963 ◽  
Vol 28 (5) ◽  
pp. 943-951 ◽  
Author(s):  
W. K. McFarlane ◽  
R. J. Homer ◽  
A. W. O’Dell ◽  
E. J. Sacharidis ◽  
G. H. Baton

The main features of the C. E. R. N. Intersecting Storage Rings (I. S. R.) are reviewed, together with results obtained in 1971 and 1972 on elastic scattering and total cross-sections. The main result is a 10% increase of the total proton-proton cross-section in the I. S. R. energy range. The simplest picture of high energy proton-proton scattering which emerges from this and the other data, is briefly discussed.


1967 ◽  
Vol 17 (10) ◽  
pp. 830-832 ◽  
Author(s):  
P. Grossmann ◽  
Z. Korbel ◽  
L. Rob

1968 ◽  
Vol 4 (4) ◽  
pp. 353-373 ◽  
Author(s):  
G.F. Cox ◽  
G.H. Eaton ◽  
C.P. Van Zyl ◽  
O.N. Jarvis ◽  
B. Rose

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