THEORY OF $pi$-N SCATTERING IN THE STRIP APPROXIMATION TO THE MANDELSTAM REPRESENTATION

Journal Article · Tue Aug 15 00:00:00 EDT 1961 · Physical Review (U.S.) Superseded in part by Phys.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.123.1487· OSTI ID:4841479

Singh, V; Udgaonkar, B M

The strip approximation to the Mandelstam representation is applied to the pi --N problem, and the basic equations given. The asymptotic behavior of the invariant amplitudes in the physical regions is discussed in terms of the unitarity condition on partial-wave amplitudes, the constancy of highpnergy scattering cross sections, and the Pomeranchuk theorem, and it is shown to imply that no subtractions should be necessary except in the J = 1/2 wave of the pi -- N channel and the J = 0 wave of the pi + pi -- N + N channel. This obviates the difficulties encountered by earlier workers when they subtracted higher waves. (auth)

• Research Organization: Univ. of California, Berkeley
• NSA Number: NSA-15-028381
• OSTI ID: 4841479
• Report Number(s): UCRL-9561; 0031-899X
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 123; ISSN PHRVA
• Country of Publication: United States
• Language: English

Related Subjects

CROSS SECTIONS
DIFFERENTIAL EQUATIONS
FIELD THEORY
INTERACTIONS
MANDELSTAM REPRESENTATION
NUCLEONS
NUMERICALS
P-WAVE
PHYSICS
PIONS
QUANTUM MECHANICS
SCATTERING
STRIP APPROXIMATION