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The parity-violating Lagrangian of the weak nucleon-nucleon ($NN$)interaction in the pionless effective field theory (EFT($//!/!/!/pi$)) approachcontains five independent unknown low-energy coupling constants (LECs). Thephoton asymmetry with respect to neutron polarization in $np\rightarrow$$d\gamma$ $A^{np}_\gamma$, the circular polarization of outgoing photon in$np\rightarrow$ $d\gamma$ $P^{np}_\gamma$, the neutron spin rotation inhydrogen $\frac{1}{\rho}\frac{d\phi^{np}}{dl}$, the neutron spin rotation indeuterium $\frac{1}{\rho}\frac{d\phi^{nd}}{dl}$ and the circular polarizationof $\gamma$-emission in $nd\rightarrow$ $^3H\gamma$ $P^{nd}_\gamma$ are theparity-violating observables which have been recently calculated in terms ofparity-violating LECs in the EFT($//!/!/!/pi$) framework. We obtain the LECs bymatching the parity-violating observables to the Desplanques, Donoghue, andHolstein (DDH) best value estimates. Then, we evaluate photon asymmetry withrespect to the neutron polarization $a^{nd}_\gamma$ and the photon asymmetry inrelation to deuteron polarization $A^{nd}_\gamma$ in $nd\rightarrow$$^3H\gamma$ process. We finally compare our EFT($//!/!/!/pi$) photonasymmetries results with the experimental values and the previous calculationsbased on the DDH model.

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