In this study, we used differential geometry to develop an effective field theory study the behavior of light propagation in distorted photonic crystals (DPCs) averagely homogeneous refractive index media. To light-ray trajectories DPCs, derived a geodesic equation based on principle least action by defining metric tensor terms lattice-position distortion. The implies that distortion can curve ...

An effective field theory (EFT) for a nuclear reaction at low energies is studied. The astrophysical $S$-factor of radiative $\alpha$ capture on $^{12}$C the Gamow-peak energy, $T_G=0.3$ MeV, fundamental quantity in nuclear-astrophysics, and we construct an EFT reaction. To fix parameters appearing Lagrangian, applied to study three reactions: elastic $\alpha$-$^{12}$C scattering energies, $E1$...

Since the pioneering work of Weinberg, Chiral Effective Field Theory ($\chi$EFT) has been widely and successfully utilized in nuclear physics to study many-nucleon interactions associated electroweak currents. Nuclear $\chi$EFT now developed into an intense field research is applied light medium mass nuclei. In this contribution, we focus on development currents from present applications select...