Erratum: Antinucleon-nucleon potential

Abstract

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.

Antinucleon-nucleon interaction in chiral effective field theory

“…The antinucleon-nucleon (N N ) interaction has been studied quite extensively in the past [1][2][3][4][5][6][7][8][9], not least because of the wealth of data collected at the LEAR facility at CERN, cf. the reviews [10][11][12].…”

“…The majority of those investigations has been performed in the traditional meson-exchange framework where the G-parity transformation is exploited to connect the elastic part of theN N interaction with the dynamics in the nucleon-nucleon (N N ) system. Annihilation processes are described either by a simple optical potential (which is often assumed to be spin-as well as energy-independent) [1,2,5,7] or in terms of a coupling to a small number of effective two-body annihilation channels [3,4,9].…”

The Nijmegen Potentials

“…A large part of the efforts of the Nijmegen group in the last decennia has been concentrated on the study of the baryon-baryon [1,2,3], as well as the antibaryon-baryon interaction [4,5]. In first instance this has been the construction of potentials [6,7,8,9,10], but later also partial-wave analyses (PWA) of the experimental scattering data [11,12] were performed.…”

“…For the exchanged mesons and for the nucleons averaged iso-multiplet masses are used, such as the average pion mass m = (2m + +m 0 )/3 = 138. 4 MeV, the nucleon mass M = (M p +M n )/2 = 938.93 MeV, etc. The I = 1 part of the NN-potentials was always obtained by fitting the pp-data.…”

Determination of antiproton-neutron amplitude from elastic�p-deuteron scattering at 600 MeV/c

“…The theoretical N-N potential models [12,13,14] based on OBEP derived from the NN potentials using Gparity provide some idea about the N-N interaction. The determination of p-n interaction from the study of p-d scattering is expected to provide a test of the models and the knowledge of the isospin I= 1 state.…”