Abstract
Peripheral nucleon-nucleon scattering is analyzed in the framework of an effective field theory. Distorted-wave methods are used to remove the effects of one-pion exchange. Two-pion exchange and recoil corrections to one-pion exchange are then subtracted pertubatively. This removes all contributions up to order Q3 in the chiral expansion. We have applied this to the 1D2, 1F3, and 1G 4 waves, using phase shifts from various partial-wave analyses by the Nijmegen group. In regions where these analyses agree we find no evidence for a breakdown of the chiral expansion. One of the terms in the effective short-range potential, the leading one in the 1D2 channel, is larger than might be expected, but in general these terms have momentum scales of about 300-400 MeV. We also see hints of isospin breaking in the πN couplings.
| Original language | English |
|---|---|
| Pages (from-to) | 054002-1 |
| Number of pages | 54001 |
| Journal | Physical Review C - Nuclear Physics |
| Volume | 70 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Nov 2004 |
Keywords
- Field theory (effective; effectiveness of effective field theory in peripheral nucleon-nucleon scattering with pion exchange); Nucleons Role: PEP (Physical, engineering or chemical process), PRP (Properties), PYP (Physical process), PROC (Process) (effectiveness of effective field theory in peripheral nucleon-nucleon scattering with pion exchange); Isotopic spin (isospin breaking in the pN couplings)