Zero-Parameter Model of theN−NPotential

Abstract

We present a theoretical N-N potential containing, in addition to the one-pion-exchange contribution, vector-meson-exchange terms and contributions due to the inelastic interactions iV+iV->iVH-A(1236) and iV+iV-> A(1236)+A(1236). There are no adjustable parameters in this calculation, which otherwise, however, suffers from most of the usual shortcomings and difficulties of few-particle-exchange models for strong-interaction processes. The vector-meson coupling constants are fixed by electromagnetic form factors and backward vector-meson production data, while the phenomenological constants in the inelastic contributions to the potentials have been fixed by the experimental data on the inelastic reactions themselves. Our results are found to be in qualitative agreement with phenomenological potentials obtained by Reid from the N-N scattering data. We also calculate the vector-meson-exchange potentials for all B-B and B-B states with /<2. Our results indicate that the B-B interaction will contain a short-range repulsion in all states of practical interest aside fromjhe r= 1 S-iV state which is discussed. We find strong attractions in most of the SU(3) singlet and octet B-B states.

Effective field theory of nuclear forces

“…First, there are short-range corrections; they come from one-loop pion dressing of the lowest-order contact interactions, and from four-nucleon contact interactions with two derivatives or two powers of the pion mass, displayed in Eqs. (92) and (103). It is easy to show that the result of loop diagrams amount to a simple shift of the contact parameters.…”

“…Note, however, that the amplitude to this order can be written as a function of C 0 + m 2 π C 2qm for it is this combination that appears in the potential (92)+ (103). Only at higher orders will C 2qm contribute new terms through pion loops.…”

“…Chiral symmetry is particular influential in the TPE piece. The latter includes a particular form of terms previously considered by Brueckener and Watson [102], Sugawara and von Hippel [103], and Sugawara and Okubo [104], plus a few new terms. Those terms involving the B i 's and the deltas provide the only form of correlated TPE to this order, as graphs where pions interact in flight appear only in next order and should thus be relatively small.…”

Few-nucleon forces and systems in chiral effective field theory

“…We further emphasize that a significant part of the NLO 2PE contributions was considered much earlier in the context of meson theory of nuclear forces, see e.g. [157,158,159,160]. At N 2 LO one has to take into account the contributions of the triangle and football graphs in the second line of Fig.…”

“…#18 These contributions were reconsidered by Kaiser #18 Certain contributions to the potential were considered much earlier, see e.g. [160]. et al [205] using the Feynman graph technique.…”