Investigation of traversable wormhole solutions in modified $$f(R)$$ gravity with scalar potential

Abstract The objective of this manuscript is to investigate the traversable wormhole solutions in background $$f(R, \phi )$$ f ( R , ϕ ) theory gravity, where R Ricci scalar and $$\phi $$ potential respectively. For reason, we use Karmarkar criterion for static geometry create a shape function. suggested function creates that links two asymptotically flat spacetime regions meets necessary requirements. embedding diagram three-dimensional Euclidean space also discussed order demonstrate configurations. our current analysis, choose suitable values free parameters gravity models discuss geometry. It can be observed proposed provides with less amount exotic matter. noticed energy conditions especially null are violated all considered models. violation indicates existence matter concluded acquired through technique yields validated configurations even correlating chosen