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THEORY OF NUCLEON-NUCLEON SCATTERING IN THE STRIP APPROXIMATION TO THE MANDELSTAM REPRESENTATION

Technical Report ·
OSTI ID:4708484
; ;
The nucleon-nucleon scattering amplitude is discussed within the framework of the strip approximation. Asymptotic bounds to the behavior of the amplitudes are derived and are applied to limit the number of allowed single spectral functions to six and correspondingly to limit the types of dynamically independent one-particle states. In particular, it is found thnt the pion is in this sense allowed, while the deuteron is not. The unitarity equations, in which only two-particle intercalated states are retained, are explicitiy derived in both the N-N and N-N channels. The N-N equations express a portion of the double epectral functions in terms of the pi -N amplitudes; the N-N equations express another portion of these functions through coupled integral equations. (auth)
Research Organization:
California. Univ., Berkeley. Lawrence Radiation Lab.; Brown Univ., Providence; California. Univ., La Jolla
DOE Contract Number:
W-7405-ENG-48
NSA Number:
NSA-17-011498
OSTI ID:
4708484
Report Number(s):
UCRL-10028
Country of Publication:
United States
Language:
English

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Related Subjects

DEUTERONS
DIFFERENTIAL EQUATIONS
FIELD THEORY
MANDELSTAM REPRESENTATION
MATHEMATICS
NUCLEONS
NUMERICALS
PARTICLES
PHYSICS
PIONS
SCATTERING
SCATTERING AMPLITUDE
SPECTRA
SPECTRAL FUNCTIONS
STRIP APPROXIMATION