Universal fit to p-p elastic diffraction scattering from the Lorentz-contracted geometrical model. [s=6 to 4000 (GeV)/sup 2/, differential cross sections]

Journal Article · Wed Jun 01 04:00:00 EDT 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.15.3287· OSTI ID:7323436

Hansen, P H; Krisch, A D

We examine the prediction of the Lorentz-contracted geometrical model for proton-proton elastic scattering at small angles. The model assumes that, when two high-energy particles collide, each behaves as a geometrical object which has a Gaussian density and is spherically symmetric except for the Lorentz contraction in the incident direction. It predicted that dsigma/dt should be independent of energy when plotted against the variable ..beta../sup 2/P/sub perpendicular//sup 2/sigma/sub tot/(s)/(38.3 mb). Thus the energy dependence of the diffraction-peak slope (b in an e/sub -b abs. value (t)/ plot) is given by b(s) = A/sup 2/..beta../sup 2/sigma/sub tot/(s)/(38.3 mb), where ..beta.. is the proton's c.m. velocity and A is its radius. We used recently measured values of sigma/sub tot/(s), and obtained an excellent fit to the elastic slope in both t regions (-t < 0.1 (GeV/c)/sup 2/ and 0.1 < -t < 0.4 (GeV/c)/sup 2/) at all energies from s = 6 to 4000 (GeV)/sup 2/.

• Research Organization: The Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, Denmark
• OSTI ID: 7323436
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 15:11; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645207* -- High Energy Physics-- Particle Interactions &amp; Properties-Theoretical-- Strong Interactions
Baryon No. Greater than 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BARYON-BARYON INTERACTIONS
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
DIFFRACTION MODELS
ELASTIC SCATTERING
ENERGY RANGE
GEV RANGE
GEV RANGE 01-10
GEV RANGE 10-100
HADRON-HADRON INTERACTIONS
INTERACTIONS
LORENTZ TRANSFORMATIONS
MATHEMATICAL MODELS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PROTON-NUCLEON INTERACTIONS
PROTON-PROTON INTERACTIONS
SCATTERING
SPIN
TOTAL CROSS SECTIONS
TRANSFORMATIONS