# 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 the one-pion exchange at the leading order and the two-pion exchange and two-nucleon contact terms at the 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 its implication for the determination of the weak pion-nucleon coupling constant and how the uncertainty can be reduced.
Document type :
Journal articles

http://hal.in2p3.fr/in2p3-00113689
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Submitted on : Tuesday, November 14, 2006 - 11:12:52 AM
Last modification on : Thursday, November 19, 2020 - 12:58:38 PM

### Citation

C.H. Hyun, S. Ando, B. Desplanques. Hadronic parity violation in $\vec{n} p \to d \gamma$ with effective field theory. Physics Letters B, Elsevier, 2007, 651, pp.257-262. ⟨10.1016/j.physletb.2007.06.011⟩. ⟨in2p3-00113689⟩

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