The forward peak of elastic hadron-hadron scattering and unitarity bounds for the differential cross-section
Journal Article
·
· Modern Physics Letters A; (Singapore)
- Gifu Univ. (Japan)
- Hiroshima Univ. (Japan). Faculty of General Education
- Hiroshima Univ. (Japan). Dept. of Physics
This paper reports that unitary bounds for the differential cross-section of high-energy elastic hadron-hadron scattering are obtained under the constraints of fixed total cross-section {sigma}{sub t}, elasticity x, real part to imaginary part ratio {rho} of the forward scattering amplitude, and forward slope b by assuming a finite interaction range. The obtained upper bound has an observed curvature structure at small momentum transfers and is nearly saturated by the experimental data of pp and {bar p}p scattering at {minus} t = 0-0.3 (GeV/c){sup 2} in the energy region sq. root s = 10-1800 GeV, if we take the interaction radius scaled as R{sub 0} {approximately} 0.43 {radical} (1 + {rho}{sup 2}){sigma}{sub t/x}.
- OSTI ID:
- 7248044
- Journal Information:
- Modern Physics Letters A; (Singapore), Journal Name: Modern Physics Letters A; (Singapore) Vol. 7:21; ISSN 0217-7323; ISSN MPLAE
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
662130 -- General Theory of Particles & Fields-- S-Matrix Theory
Relativistic Scattering Theory-- (1992-)
662210 -- Specific Theories & Interaction Models
662340* -- Hadron Interactions-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BARYON-BARYON INTERACTIONS
BOUND STATE
CONSTRAINTS
CROSS SECTIONS
DATA
DIFFERENTIAL CROSS SECTIONS
ELASTIC SCATTERING
EXPERIMENTAL DATA
FINITE-RANGE INTERACTIONS
HADRON-HADRON INTERACTIONS
INFORMATION
INTERACTIONS
MOMENTUM TRANSFER
NUCLEON-ANTINUCLEON INTERACTIONS
NUMERICAL DATA
PARTICLE INTERACTIONS
PROTON-ANTIPROTON INTERACTIONS
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
SCATTERING
SCATTERING AMPLITUDES
UNITARITY
Relativistic Scattering Theory-- (1992-)
662210 -- Specific Theories & Interaction Models
662340* -- Hadron Interactions-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BARYON-BARYON INTERACTIONS
BOUND STATE
CONSTRAINTS
CROSS SECTIONS
DATA
DIFFERENTIAL CROSS SECTIONS
ELASTIC SCATTERING
EXPERIMENTAL DATA
FINITE-RANGE INTERACTIONS
HADRON-HADRON INTERACTIONS
INFORMATION
INTERACTIONS
MOMENTUM TRANSFER
NUCLEON-ANTINUCLEON INTERACTIONS
NUMERICAL DATA
PARTICLE INTERACTIONS
PROTON-ANTIPROTON INTERACTIONS
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
SCATTERING
SCATTERING AMPLITUDES
UNITARITY