A Survey for High-redshift Gravitationally Lensed Quasars and Close Quasars Pairs. I. the Discoveries of an Intermediately-lensed Quasar and a Kpc-scale Quasar Pair at $z\sim 5$

We present the first results from a new survey for high-redshift $(z\gtrsim 5)$ gravitationally lensed quasars and close quasar pairs. We carry out candidate selection based on the colors and shapes of objects in public imaging surveys, then conduct follow-up observations to confirm the nature of high-priority candidates. In this paper, we report the discoveries of J0025–0145 ($z=5.07$) which we identify as an {intermediately-lensed quasar, and J2329–0522 ($z=4.85$) which is a kpc-scale close quasar pair. The {\em Hubble Space Telescope (HST)} image of J0025–0145 shows a foreground lensing galaxy located $0^{\mathrm{\prime }\mathrm{\prime }}6$ away from the quasar. However, J0025–0145 does not exhibit multiple lensed images of the quasar, and we identify J0025–0145 as an intermediate lensing system (a lensing system that is not multiply imaged but has a significant magnification). The spectrum of J0025–0145 implies an extreme Eddington ratio if the quasar luminosity is intrinsic, which could be explained by a large lensing magnification. The {\em HST} image of J0025–0145 also indicates a tentative detection of the quasar host galaxy in rest-frame UV, illustrating the power of lensing magnification and distortion in studies of high-redshift quasar host galaxies. J2329–0522 consists of two resolved components with significantly different spectral properties, and a lack of lensing galaxy detection under sub-arcsecond seeing. We identify it as a close quasar pair, which is the highest confirmed kpc-scale quasar pair to date. We also report four lensed quasars and quasar pairs at $2<z<4$, and discuss possible improvements to our survey strategy.