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

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

2006-11-07

arxiv.org/abs/nucl-th/0611018v2

Phys.Lett.B651:257-262,2007

Physics

Nuclear Physics

Nuclear Theory

Minor changes in the text. To appear in PLB

Scientific paper

10.1016/j.physletb.2007.06.011

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.

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