In this paper, we investigate spin-polarized muonium-muonium and spin-polarized hydrogen-hydrogen scattering for total orbital angular momentum $L=0$ using the non-Born-Oppenheimer confined variational method combined with explicitly correlated Gaussian basis functions. Our approach yielded accurate $S$-wave phase shifts and elastic cross sections at scattering momenta below $0.6a_0^{-1}$, where $a_0$ is the Bohr radius. By utilizing the effective range formula, we determined the $S$-wave scattering lengths to be $3.70a_0$ and $1.35a_0$ for spin-polarized muonium-muonium and spin-polarized hydrogen-hydrogen scattering, respectively.

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• Scattering of atoms, molecules, clusters & ions