A multi-energy phase shift analysis of all published proton-proton (pp) scattering data in the energy range T lab ≤ 30 MeV is presented. In the description of all partial waves the well-known long range interaction is included: the improved Coulomb, the vacuum polarization, and the one-pion-exchange potential. In the lower partial waves the energy-dependent analysis uses a P-matrix parametrization for the short range interaction. Special attention is paid to the electric interaction, the definition of the phase shifts and the selection of the data. The fit to the final data set comprising 360 scattering observables results in χ 2 /N df = 1.0, where N df is the number of degrees of freedom. The ppπ 0-coupling constant is determined to be g 2 ppπ 0 /4π = 14.5 ± 1.2, but there are several indications for a lower value. The optimum value for the P-matrix radius b ≈ 1.4 fm is satisfying. Single-energy phase shifts with second derivative matrices, and effective range parameters are given.
To the potential VD has to be added the nonlocal central potential where Mp is the proton mass and V 2 is the Lapiacian. Contributions to 4 ( r ) come from the vector mesons p , w, and 4 and from the scalar meson E . Each of the vector mesons contribute to r$(r) the term where V$e is the central, purely electric vector-meson potential of model D, and p is the meson mass. The scalar meson E contributes where V , is the central potential due to the scalar meson in model D. Like the rest of the potential VD, the function +(r) is cut off linearly in the inner region. Using the method described by M. M. Nagels, T. A. Rijken, and J. J, de Swart [Phys. Rev. D 17, 768 (197811, the momentum-dependent potential V is converted into a local, but energy-dependent, potential. Erratum: General CP properties of neutrino mass eigenstates [Phys. Rev. D 29, 2535 (198411 S. P. RosenThe phrase "C and CP" should be replaced by " C and P" in the following two places: (i) the line immediately below Eq. (3) and (ii) eleven lines above the end of the second column on p. 2536. This correction affects neither the arguments nor the conclusions of the paper.
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