Nonrelativistic lattice study of stoponium

Abstract

We calculate the bound state properties of stoponium using lattice formulation of nonrelativistic effective field theory for stop which is moving nonrelativistically in the rest frame of stoponium. Our calculation method is similar to that employed in lattice nonrelativistic quantum chromodynamics (NRQCD) studies for charmonium and bottominum. Using $16^3\times 256$ quenched lattice gauge field configurations at $a^{-1}=50(1)\mathrm{GeV}$, we obtain the stopoinium mass and the lattice matrix element which is related to the wavefunction at the origin for the $1S$ state and find that the lattice $|R_{1S}(0){|}^2/M_{1S}^3$ is $3.5\sim 4$ larger than that from a potential model calculation for $200\mathrm{GeV}\le M_{1S}\le 800\mathrm{GeV}$.

Comments: 7 pages, 4 figures