Parity-Violating Observables of Two-Nucleon Systems in Effective Field Theory

Abstract

A newly-proposed parity-violating nucleon-nucleon interaction based on effective field theory is studied in this work. It is found that at low energy, i.e., E_lab less than 90 MeV for 1S0-3P0 transitions and E_lab less than 40 MeV for 3S1-1P1 and 3S1-3P1 transitions, the parity-violating observables can be completely specified by a minimal set of six parameters. It contains 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. Selected observables in two-nucleons systems are analyzed in this framework with their dependence on these parameters being expressed in a nearly model-independent way.

arXiv comment31 pages, 5 figures (22 panels), and 6 tables

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Cited by in corpus (37)

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• The Theory of Parity Violation in Few-Nucleon Systems
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• Two parity violating asymmetries from $np\to d\gamma$ in pionless effective field theories
• First Observation of $P$-odd $\gamma$ Asymmetry in Polarized Neutron Capture on Hydrogen
• A New Paradigm for Hadronic Parity Nonconservation and its Experimental Implications
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• A chiral effective field theory study of hadronic parity violation in few-nucleon systems
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• Deuteron Magnetic Quadrupole Moment From Chiral Effective Field Theory
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• Energy dependence of the parity-violating asymmetry of circularly polarized photons in $d\vec{\gamma }\to np$ in pionless effective field theory
• Parity-violating nucleon-nucleon interaction from different approaches
• Effective Field Theory in The Study of Long Range Nuclear Parity Violation on Lattice
• Parity violation in radiative neutron capture on deuteron
• Experimental Upper Bound and Theoretical Expectations for Parity-Violating Neutron Spin Rotation in 4He
• Parity nonconserving two-pion exchange in elastic proton-proton scattering
• The Δcontribution to the parity-violating nucleon-nucleon force
• Polarization of the neutron induced from hadronic weak interactions in the photo-disintegration of the deuteron
• Parity nonconservation in deuteron photoreactions
• The old and the new of parity-violating two-pion-exchange $NN$ potential
• Hadronic weak interaction in the two-nucleon system with effective field theories
• Parity nonconserving proton-proton elastic scattering
• Faddeev-type equations for three-body symmetry violating scattering amplitudes
• Parity violation in $d\vec{\gamma }->np$ with pionless effective theory
• The n${}^3$He Experiment: Parity Violation in Polarized Neutron Capture on ${}^3$He
• Parity nonconserving cold neutron-parahydrogen interactions