Electromagnetic Currents and Magnetic Moments in $$\chi$$EFT
A two-nucleon potential and consistent electromagnetic currents are derived in chiral effective field theory ($$\chi$$EFT) at, respectively, $$Q^{\, 2}$$ (or N$^2$LO) and $$e\, Q$$ (or N$^3$LO), where $$Q$$ generically denotes the low-momentum scale and $$e$$ is the electric charge. Dimensional regularization is used to renormalize the pion-loop corrections. A simple expression is derived for the magnetic dipole ($M1$) operator associated with pion loops, consisting of two terms, one of which is determined, uniquely, by the isospin-dependent part of the two-pion-exchange potential. This decomposition is also carried out for the $M1$ operator arising from contact currents, in which the unique term is determined by the contact potential. Finally, the low-energy constants (LEC's) entering the N$^2$LO potential are fixed by fits to the $np$ S- and P-wave phase shifts up to 100 MeV lab energies. Three additional LEC's are needed to completely specify the $M1$ operator at N$^3$L
- 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:
- 978471
- Report Number(s):
- JLAB-THY-09-1007; DOE/OR/23177-0755
- Journal Information:
- Phys. Rev. C, Journal Name: Phys. Rev. C Journal Issue: 3 Vol. 80; ISSN 0556-2813; ISSN PRVCAN
- Country of Publication:
- United States
- Language:
- English
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