APPLICATION OF DISPERSION RELATIONS TO MESON-NUCLEON SCATTERING

Journal Article · Thu Sep 01 04:00:00 EDT 1960 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.119.1786· OSTI ID:4137055

Finn, A C

Relativistic nonforward scattering dispersion relations are used to obtain information about low-energy mesonnucleon scattering. It is determined which of the s-, p-, and d-wave phase shifts are predicted by dispersion theory. Charge independence is assumed. The form of the dispersion relations used is justified by relating the asymptotic energy dependence of the dispersion relation amplitudes to the assumption of a finite range of interaction and to the choice of a particular meson current and the usual equal time commutation relations. The relevence of the analytic properties of the scattering amplitude as a function of momentum transfer is discussed in connection with the partial wave expansion of the dispersion amplitudes. The contribution to the dispersion integrals from energies above the 33 resonance is estimated. (auth)

• Research Organization: Massachusetts Inst. of Tech., Cambridge
• NSA Number: NSA-14-024794
• OSTI ID: 4137055
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 119; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DISPERSION RELATIONS
ELECTRIC CHARGES
ELEMENTARY PARTICLES
FIELD THEORY
INTERACTIONS
MESONS
MOMENTUM
NUCLEONS
PHYSICS
RELATIVITY THEORY
RESONANCE
SCATTERING
SPECTRAL SHIFT