Renormalization group analysis of nuclear current operators

Abstract

A Wilsonian renormalization group (WRG) equation for nuclear current operators in two-nucleon systems is derived. Nuclear current operators relevant to low-energy Gamow-Teller transitions are analyzed using the WRG equation. We employ the axial two-body current operators from phenomenological models and heavy-baryon chiral perturbation theory, which are quite different from one another in describing small scale physics. After reducing the model space of the operators using the WRG equation, we find that there still remains a significant model dependence at Λ= 200 MeV, where Λis the sharp cutoff specifying the size of the model space. A model independent effective current operator is found at a rather small cutoff value, Λ= 70 MeV. By simulating the effective current operator at Λ=70 MeV, we obtain a current operator based on a pionless theory, thereby arguing an equivalence relation between nuclear current operators of phenomenological models and those of effective field theories.

26 pages, 11 figures

References in corpus (5)

• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Radiative neutron capture on a proton at BBN energies
• How low-energy weak reactions can constrain three-nucleon forces and the neutron-neutron scattering length
• Wilsonian RG and Redundant Operators in Nonrelativistic Effective Field Theory
• Projection Operator Formalisms and the Nuclear Shell Model

Cited by in corpus (9)

• Power Counting of Contact-Range Currents in Effective Field Theory
• Proton-proton fusion in pionless effective theory
• Pions are neither perturbative nor nonperturbative: Wilsonian renormalization group analysis of nuclear effective field theory including pions
• Bridging over p-wave pi-production and weak processes in few-nucleon systems with chiral perturbation theory
• Proposal of a gauge-invariant treatment of l=0,1-mode perturbations on Schwarzschild Background Spacetime
• Gauge invariance in the presence of a cutoff
• On the Wilsonian renormalization group equation for nuclear current operators
• Renormalisation-group analysis of electromagnetic couplings in the pionless effective field theory
• Consistency between renormalization group running of chiral operator and counting rule -- Case of chiral pion production operator --