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Wormholes are speculative structures linking disparate space-time points.Their geometry can be obtained by solving Einstein equations with toleratingthe violation of null energy conditions. Recently, many researchers havestudied different wormholes according to different criteria, and they achievedremarkable results. In this paper, we investigate a series of exact solutionsof the static wormhole with smeared mass source geometry in modified $f(R)$gravity theories. In fact, we consider the Lorentzian density distributionwhich is coming from a particle-like source. To be more specific, the modifiedgravity models we consider here are some power laws. We compute resultingsolutions according to the wormhole field equations. We also specify parameterssuch as the radial pressure and transverse pressure as well as various energyconditions such as null energy conditions, weak energy conditions and strongenergy conditions. Finally, by plotting some figures, in addition toidentifying the wormhole throat, we describe the results of either theviolation or the satisfaction of the energy conditions completely.

Smeared Mass Source Wormholes in Modified $f(R)$ Gravity with the Lorentzian Density Distribution Function