Asymmetry in $\vec{n} + p -> d + γ$

Details Asymmetry in $\vec{n} + p -> d + γ$ Asymmetry in $\vec{n} + p -> d + γ$

2001-01-20

arxiv.org/abs/nucl-th/0101043v2

Phys.Lett.B516:321-326,2001

Physics

Nuclear Physics

Nuclear Theory

Discussions are extensively refined. To appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(01)00917-0

Heavy-baryon chiral perturbation theory (HBChPT) is applied to the asymmetry $A_\gamma$ in $\vec{n} + p \to d + \gamma$ at threshold, which arises due to the weak parity non-conserving interactions. Instead of appealing to Siegert's theorem, transition operators up to next-to-leading chiral order are derived and the corresponding amplitudes are evaluated with the Argonne $v_{18}$ wavefunctions. In addition to the impulse contribution, both parity-conserving and parity-non-conserving two-body one-pion-exchange diagrams appear up to this order. Our prediction for the asymmetry is $A_\gamma = - 0.10 \hpiNN$, which is close to the Siegert's theorem based result, $A_\gamma \simeq -0.11 \hpiNN$. This illustrates that HBChPT is effective in the parity-non-conserving physics.

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