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We calculate RPA-BCS based spin resonance spectra of newly discoverediron-selenide superconductor using two orbitals tight-binding (TB) model. Theslightly squarish electron pocket Fermi surfaces (FSs) at$(\pi,0)/(0,\pi)-$momenta produce leading interpocket nesting instability atincommensurate vector $q\sim(\pi,0.5\pi)$ in the normal state staticsusceptibility, pinning a strong stripe-like spin-density wave (SDW) orantiferromagnetic (AFM) order at some critical value of $U$. The same nestingalso induces $d_{x^2-y^2}-$pairing. The superconducting (SC) gap is nodelessand isotropic on the FSs as they are concentric to the four-fold symmetry pointof the $d-$wave gap maxima, in agreement with various measurements. Thisinduces an slightly incommensurate spin resonance with `hour-glass'-likedispersion feature, in close agreement with neutron data of chalcogenides. Wealso calculate $T$ pendence of the SC gap solving BCS gap equations and findthat the spin resonance follows the same $T$ evolution of $\Delta(T)$ both inenergy and intensity, suggesting that an itinerant weak or intermediate paircoupling theory is relevant in this system.

Stripes, spin resonance and $d_{x^2-y^2}-$pairing symmetry in FeSe-based layered superconductors