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