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We present a high-performance evaluation method for 4-center 2-particleintegrals over Gaussian atomic orbitals with high angular momenta ($l\geq4$)and arbitrary contraction degrees on graphical processing units (GPUs) andother accelerators. The implementation uses the matrix form ofMcMurchie-Davidson recurrences. Evaluation of the 4-center integrals over four$l=6$ ($i$) Gaussian AOs in the double precision (FP64) on an NVIDIA V100 GPUoutperforms the reference implementation of the Obara-Saika recurrences (${\ttLibint}$) running on a single Intel Xeon core by more than a factor of 1000,easily exceeding the 73:1 ratio of the respective hardware peak FLOP rateswhile reaching almost 50\% of the V100 peak. The approach can be extended tosupport AOs with even higher angular momenta; for lower angular momenta($l\leq3$) additional improvements will be reported elsewhere. Theimplementation is part of an open-source ${\tt LibintX}$ library feelyavailable at https://github.com/ValeevGroup/LibintX.

High-performance evaluation of high angular momentum 4-center Gaussian integrals on modern accelerated processors