MESON-MESON SCATTERING TERM AND LOW-ENERGY PION-NUCLEON SCATTERING

Journal Article · Thu Sep 15 04:00:00 EDT 1960 · Physical Review (U.S.) Superseded in part by Phys.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.119.2074· OSTI ID:4136969

Sugawara, M; Kanazawa, A

The modified Chew-Low integral equation for the pionnucleon P-wave scattering amplitudes was derived using the Chew-Low-Wick formalism and assuming a general static interaction Hamiltonian plus the meson-meson scattering term. Essentially the same result was shown to follow from dispersion relations in the no-nucleon-recoil approximation if it was assumed that the almost-forward elastic scattering amplitude became a finite real number at large incident pion energy. If it was further presumed that the meson-meson scattering term alone was responsible for this asymptotic behavior, it could be shown that the extra term to be introduced into the Chew-Low integral equation was just the zero-energy limit of the corresponding term, which was energy dependent in the previous derivation. The modified effective-range expansion of the P-wave phase shift is compared with the data. The S-wave integral equations are also given; they are formally much simpler than those obtained previously in the static model calculation. (auth)

• Research Organization: Purdue Univ., Lafayette, Ind.
• NSA Number: NSA-14-024800
• OSTI ID: 4136969
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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

CHEW-LOW METHOD
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY
FIELD THEORY
MESONS
NUCLEONS
P-WAVE
PHYSICS
PIONS
QUANTUM MECHANICS
SCATTERING
SPECTRAL SHIFT