{delta} effects in pion-nucleon scattering and the strength of the two-pion-exchange three-nucleon interaction

Journal Article · Wed Jun 01 04:00:00 EDT 2005 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.71.064002· OSTI ID:20698726

Pandharipande, V R ^[1]; Phillips, D R ^[2]; Kolck, U van ^[3]

---

1. Department of Physics, University of Illinois, Urbana, Illinois 61801 (United States)
2. Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701 (United States)
3. Department of Physics, University of Arizona, Tucson, Arizona 85721 (United States)

We consider the relationship between p-wave {pi}N scattering and the strength of the p-wave two-pion-exchange three-nucleon interaction (TPE3NI). We explain why effective theories that do not contain the Delta resonance as an explicit degree of freedom tend to overestimate the strength of the TPE3NI. The overestimation can be remedied by higher-order terms in these 'Delta-less' theories, but such terms are not yet included in state-of-the-art chiral effective field theory calculations of the nuclear force. This suggests that these calculations can predict the strength of the TPE3NI only to an accuracy of {+-}25%.

• OSTI ID: 20698726
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 6 Vol. 71; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
CHIRALITY
DEGREES OF FREEDOM
DELTA BARYONS
NUCLEAR FORCES
NUCLEONS
P WAVES
PION-NUCLEON INTERACTIONS
PIONS
QUANTUM FIELD THEORY
SCATTERING