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We here present a method of performing integrals of products of sphericalBessel functions (SBFs) weighted by a power-law. Our method, which begins withdouble-SBF integrals, exploits a differential operator $\hat{D}$ defined viaBessel's differential equation. Application of this operator raises thepower-law in steps of two. We also here display a suitable base integralexpression to which this operator can be applied for both even and odd cases.We test our method by showing that it reproduces previously-known solutions.Importantly, it also goes beyond them, offering solutions in terms of singulardistributions, Heaviside functions, and Gauss's hypergeometric,$\;_2{\rm F}_1$for $all$ double-SBF integrals with positive semi-definite integer power-lawweight. We then show how our method for double-SBF integrals enables evaluating$arbitrary$ triple-SBF overlap integrals, going beyond the cases currently inthe literature. This in turn enables reduction of arbitrary quadruple,quintuple, and sextuple-SBF integrals and beyond into tractable forms.

On a General Method for Resolving Integrals of Multiple Spherical Bessel Functions Against Power Laws into Distributions