Renormalizing chiral nuclear forces: a case study of 3P0

Journal Article · Tue Nov 01 04:00:00 EDT 2011 · Physical Review, C (Nuclear Physics)

DOI:https://doi.org/10.1103/PhysRevC.84.057001· OSTI ID:1029985

Bingwei Long, Chieh-Jen Yang

We discuss in this paper the subleading contact interactions, or counterterms, in the {sup 3}P{sub 0} channel of nucleon-nucleon scattering up to O(Q{sup 3}), where, already at leading order, Weinberg's original power counting scheme fails to fulfill cutoff independence due to the singular attraction of one-pion exchange in {sup 3}P{sub 0}. Treating the subleading interactions as perturbations and using cutoff independence as the criterion, we investigate whether Weinberg's power counting, although missing the leading order, could prescribe correct subleading counterterms. We find that the answer is negative. After establishing the correct subleading counterterms, we study the cutoffs where the subleading potential, instead of being treated as a perturbation, can be iterated together with the leading one.

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1029985
• Report Number(s): JLAB-THY-11-1401; DOE/OR/23177-1654
• Journal Information: Physical Review, C (Nuclear Physics), Journal Name: Physical Review, C (Nuclear Physics) Journal Issue: 5 Vol. 84; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
NUCLEAR FORCES
NUCLEAR PHYSICS
SCATTERING