MODIFIED ANALYSIS OF NUCLEON-NUCLEON SCATTERING. I. THEORY AND p-p SCATTERING AT 310 Mev

Journal Article · Fri May 01 04:00:00 EDT 1959 · Physical Review (U.S.) Superseded in part by Phys.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.114.880· OSTI ID:4225652

Cziffra, P; MacGregor, M H; Moravcsik, M J; Stapp, H P

A modified method of analyzing nucleon-nucleon scattering is discussed and applied to proton-proton scattering experiments at 310 Mev. The modified scheme is based on an explicit inclusion in all higher angular-momentum states of the terms contributed by the one-pion exchange process. This procedure is suggested by Chew's conjecture that the singularities of the scattering amplitude in the cos THETA plane ( THETA being the scattering angle in the center-of-mass system) that are closest to the physical region are due to the one-pion exchange process and are given by the Born approximation. Or, alternatively, in terms of ranges, the one-pion exchange contribution has the longest range of the forces contributing to the nucleon-nucleon interaction and hence should be primarily responsible for the contributions to the scattering amplitude in the high angular- momentum states. Since the only parameter in the Born approximation is the pion- nucleon coupling constant, the modified scheme can also provide a determination of this coupling constant. The application of the modified scheme to p-p scattering at 310 Mev indicates that the first two of the five best solutions of the conventional phase-shift analysis are more satisfactory than the others for two reasons. Firstly, their goodness-of-fit parameters improve markedly when the higher angular-momentum contributions are added, whereas those of the others remain essentially unchanged. Secondly, as a function of the coupling constant, the goodness-of-fit parameters of the first two solutions show minima close to the accepted value of the coupling constant. (auth)

• Research Organization: Univ. of California, Berkeley; Livermore
• NSA Number: NSA-13-017272
• OSTI ID: 4225652
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 114; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
BINDING ENERGY
BORN APPROXIMATION
ENERGY RANGE
EXCHANGE MODEL
MEV RANGE
MOMENTUM
NUCLEAR MODELS
NUCLEAR THEORY
NUCLEONS
PARTICLE MODELS
PERTURBATION THEORY
PHYSICS AND MATHEMATICS
PIONS
PROTON BEAMS
PROTONS
SCATTERING
SPECTRAL SHIFT