Parity-violating observables of two-nucleon systems in effective field theory

A newly-proposed parity-violating nucleon-nucleon interaction based on effective field theory is studied in this work. Using the hybrid effective field theory treatment, it is found that the parity-violating phenomena at low energy, where $S\text{−}P$ transitions dominate, can be well specified by a set of six parameters. This includes five low-energy constants, which are equivalent to the Danilov parameters, and an additional parameter that characterizes the long-range one-pion exchange and is proportional to the parity-violating pion-nucleon coupling constant $h_{\pi }^1$. Selected observables in two-nucleon systems are analyzed, with their dependences on these parameters being determined by employing high-quality wave functions.