Investigation of p - p and n - p Scatterings at 10 Mev by Dispersion Relation

Journal Article · Fri Mar 01 04:00:00 EST 1963 · Progress of Theoretical Physics (Kyoto)

DOI:https://doi.org/10.1143/PTP.29.422· OSTI ID:4704676

Hsieh, Shih-Hui; Miyachi, Setsuko

The dispersion relation as the function of the momentum transfer is used to calculate the nucleon-nucleon scattering amplitudes as the functions of the angle at fixed energy in nonrelativistic approximation. The one-pion and two- pion contributions including the (3, 3) resonance are derived, and some results of a previous paper are corrected. The dispersion relation is applied to 10 Mev p-p and n-p scatterings. It is shown that, the calculated results for the imaginary parts of the amplitudes are good except a few terms, the results for the real parts of the amplitudes BETA , gamma , and epsilon are also good for both of p-p and n-p scatterings, but those of alpha and delta are bad for both. Also it is indicated that, the contribution of the (3, 3) resonance is large, and the discontinuity of the spectral function appearing in the fourth order diagram gives an anomalously large contribution to the first amplitude alpha of n-p scattering. (auth)

• Research Organization: Tokyo Univ.
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-024349
• OSTI ID: 4704676
• Journal Information: Progress of Theoretical Physics (Kyoto), Journal Name: Progress of Theoretical Physics (Kyoto) Journal Issue: 3 Vol. 29; ISSN 0033-068X
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR DISTRIBUTION
CROSS SECTIONS
DISPERSION THEORY
ELEMENTARY PARTICLES
ENERGY
ENERGY RANGE
MATHEMATICS
MOMENTUM
NEUTRONS
NUCLEONS
NUMERICALS
PHYSICS
PIONS
PROTONS
QUANTUM MECHANICS
RESONANCE
SCATTERING
SPECTRAL FUNCTIONS