Scattering for the non-radial focusing inhomogeneous nonlinear Schr\"odinger-Choquard equation

In this paper, we study the long-time behavior of global solutions to the Schr"odinger-Choquard equation $$i{\mathrm{\partial }}_{t}u+\mathrm{\Delta }u=-(I_{\alpha }\ast \mathrm{\mid }\cdot {\mathrm{\mid }}^b\mathrm{\mid }u{\mathrm{\mid }}^p)\mathrm{\mid }\cdot {\mathrm{\mid }}^b\mathrm{\mid }u{\mathrm{\mid }}^{p-2}u\mathrm{.}$$ Inspired by Murphy, who gave a simple proof of scattering for the non-radial inhomogeneous NLS, we prove scattering theory below the ground state for the intercritical case in energy space without radial assumption.