ISOTOPIC SPIN OF EXCHANGED SYSTEMS

Journal Article · Wed May 15 04:00:00 EDT 1963 · Physical Review (U.S.) Superseded in part by Phys.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.130.1585· OSTI ID:4726700

Foldy, L L; Peierls, R F

It is demonstrated that any scattering amplitude can formally be expressed as a sum of terms each corresponding to the exchange of a particular isotopic spin without requiring the concept of crossing. Employing only the optical theorem and invariance under isotopic spin rotations the following theorem is proved: The contribution to the imaginary part of the forward scattering ampiitude arising from the exchange of zero isotopic spin cannot be arbitrarily small compared to contributions from the exchange of any other isotopic spin or spins. From the same argument follows a second theorem: If the total cross section for two particles is independent of their isotopic spin state, then only the exchange of isotopic spin zero contributes to the imaginary part of the forward scattering amplitude. In combination with the hypothesis that high-energy scattering is dominated by the exchange of a sinkle Regge pole, it follows that the Pomeranchuk-pole must have isotopic spin zero. The relation to the Pomeranchuk-Okun' rule is discussed. (auth)

• Research Organization: Case Inst. of Tech., Cleveland
• NSA Number: NSA-17-022481
• OSTI ID: 4726700
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 130; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CROSS SECTIONS
ELEMENTARY PARTICLES
FIELD THEORY
ISOSPIN
OPTICAL THEOREM
PARTICLE MODELS
PHYSICS
QUANTUM MECHANICS
REGGE POLES
SCATTERING
SCATTERING AMPLITUDE