Photon asymmetries in $nd\to$ ${}^{3}H\gamma$ using EFT($\pi /!/!/!/$) approach

Abstract

The parity-violating Lagrangian of the weak nucleon-nucleon ($NN$) interaction in the pionless effective field theory (EFT($//!/!/!/pi$)) approach contains five independent unknown low-energy coupling constants (LECs). The photon asymmetry with respect to neutron polarization in $np\to$ $d\gamma$ $A_{\gamma }^{np}$, the circular polarization of outgoing photon in $np\to$ $d\gamma$ $P_{\gamma }^{np}$, the neutron spin rotation in hydrogen $\frac{1}{\rho }\frac{d{\varphi }^{np}}{dl}$, the neutron spin rotation in deuterium $\frac{1}{\rho }\frac{d{\varphi }^{nd}}{dl}$ and the circular polarization of $\gamma$-emission in $nd\to$ ${}^{3}H\gamma$ $P_{\gamma }^{nd}$ are the parity-violating observables which have been recently calculated in terms of parity-violating LECs in the EFT($//!/!/!/pi$) framework. We obtain the LECs by matching the parity-violating observables to the Desplanques, Donoghue, and Holstein (DDH) best value estimates. Then, we evaluate photon asymmetry with respect to the neutron polarization $a_{\gamma }^{nd}$ and the photon asymmetry in relation to deuteron polarization $A_{\gamma }^{nd}$ in $nd\to$ ${}^{3}H\gamma$ process. We finally compare our EFT($//!/!/!/pi$) photon asymmetries results with the experimental values and the previous calculations based on the DDH model.

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• Improving the Convergence of NN Effective Field Theory
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• Neutron spin rotation in \vec{n}-d scattering
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Cited by in corpus (1)

• Nuclear effective field theory: status and perspectives