Renormalizing Chiral Nuclear Forces: Triplet Channels

Journal Article · Thu Mar 01 04:00:00 EST 2012 · Phys. Rev. C

DOI:https://doi.org/10.1103/PhysRevC.85.034002· OSTI ID:1053010

Bingwei Long, Chieh-Jen Yang

We discuss the subleading contact interactions, or counterterms, of the triplet channels of nucleon-nucleon scattering in the framework of chiral effective field theory, with S and P waves as the examples. The triplet channels are special in that it allows the singular attraction of one-pion exchange to modify Weinberg's original power counting (WPC) scheme. With renormalization group invariance as the constraint, our power counting for the triplet channels can be summarized as a modified version of naive dimensional analysis that, when compared with WPC, the subleading counterterms are enhanced as much as the leading one. More specifically, this means that WPC needs no modification in {sup 3}S{sub 1}-{sup 3}D{sub 1} and {sup 3}P{sub 1} whereas a two-order enhancement is necessary in both {sup 3}P{sub 0} and {sup 3}P{sub 2} - {sup 3}F{sub 2}.

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC05-06OR23177; FG02-04ER41338
• OSTI ID: 1053010
• Report Number(s): JLAB-THY-11-1464; DOE/OR/23177-1911; arXiv:1111.3993; NSF Grant PHYS-0854912
• Journal Information: Phys. Rev. C, Journal Name: Phys. Rev. C Journal Issue: 03 Vol. 85
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS