A chiral effective field theory study of hadronic parity violation in few-nucleon systems

Abstract

We reconsider the derivation of the nucleon-nucleon parity-violating (PV) potential within a chiral effective field theory framework. We construct the potential up to next-to-next-to-leading order by including one-pion-exchange, two-pion-exchange, contact, and 1/M (M being the nucleon mass) terms, and use dimensional regularization to renormalize the pion-loop corrections. A detailed analysis of the number of independent low-energy constants (LEC's) entering the potential is carried out. We find that it depends on six LEC's: the pion-nucleon PV coupling constant $h_{\pi }^1$ and five parameters multiplying contact interactions. We investigate PV effects induced by this potential on several few-nucleon observables, including the $\vec{p}$-$p$ longitudinal asymmetry, the neutron spin rotation in $\vec{n}$-$p$ and $\vec{n}$-$d$ scattering, and the longitudinal asymmetry in the ${}^3$He$(\vec{n},p{)}^3$H charge-exchange reaction. An estimate for the range of values of the various LEC's is provided by using available experimental data.

31 pages, 7 figures, submitted to Physical Review C

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• Towards order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory
• The parity-violating nucleon-nucleon force in the 1/N_c expansion
• Particle Physics at the European Spallation Source
• A study of the parity-odd nucleon-nucleon potential
• Parity violation in neutron capture on the proton: determining the weak pion-nucleon coupling
• First Precision Measurement of the Parity Violating Asymmetry in Cold Neutron Capture on ${}^3$He
• Towards a unified treatment of $\Delta S=0$ parity violation in low-energy nuclear processes
• Parity-violating $\pi NN$ coupling constant from the flavor-conserving effective weak chiral Lagrangian
• Fundamental Neutron Physics: a White Paper on Progress and Prospects in the US
• The n${}^3$He Experiment: Parity Violation in Polarized Neutron Capture on ${}^3$He