Hadronic parity violation in $\vec{n}p\to d\gamma$ with effective field theory

Abstract

The parity-violating nucleon-nucleon (NN) potential is considered up to next-to-next-to leading order in heavy-baryon chiral perturbation theory. We include one-pion exchange at leading order and the two-pion exchange and two-nucleon contact terms at next-to-next-to-leading order. The effects of intermediate (two-pion exchange) and short-range (two-nucleon contact) terms are probed by calculating the photon asymmetry $A_{\gamma }$ in $\vec{n}p\to d\gamma$ employing Siegert's theorem and an accurate phenomenological potential for the parity-conserving NN interaction. We explore in detail the uncertainties due to the parameters that control the contribution of the short-range interaction. We obtain about 20% uncertainty in the value of $A_{\gamma }$ up to the next-to-next-to leading order. We discuss the implication of this uncertainty for the determination of the weak pion-nucleon coupling constant and how the uncertainty can be reduced.

arXiv commentMinor changes in the text. To appear in PLB

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• An effective-field-theory analysis of low-energy parity-violation in nucleon-nucleon scattering
• The Time-Reversal- and Parity-Violating Nuclear Potential in Chiral Effective Theory
• The Theory of Parity Violation in Few-Nucleon Systems
• 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 chiral effective field theory study of hadronic parity violation in few-nucleon systems
• Parity-violating polarization in $np\to d\gamma$ with a pionless effective field theory
• Parity-violating two-pion exchange nucleon-nucleon interaction
• Parity violation in neutron capture on the proton: determining the weak pion-nucleon coupling
• Parity-violating nucleon-nucleon interaction from different approaches
• Parity nonconserving two-pion exchange in elastic proton-proton scattering
• Polarization of the neutron induced from hadronic weak interactions in the photo-disintegration of the deuteron
• Parity-violating asymmetry in $\gamma d\to \vec{n}p$ with a pionless effective theory
• Hadronic weak interaction in the two-nucleon system with effective field theories
• Parity nonconservation in deuteron photoreactions
• Parity-violating $\pi NN$ coupling constant from the flavor-conserving effective weak chiral Lagrangian
• Parity nonconserving cold neutron-parahydrogen interactions