Lattice calculation of the Sn isotopes near the proton dripline

Abstract

We present the first $\text{ab initio}$ lattice calculations of the proton-rich tin isotopes ${}^{99}$Sn to ${}^{102}$Sn using nuclear lattice effective field theory with high-fidelity two- and three-nucleon forces. For a given set of three-nucleon couplings, we reproduce binding energies with $\sim 1\%$ accuracy for the even-even systems, and obtain energy splitting and two-nucleon separation energies in agreement with experiment. Our results confirm the $N=50$ shell closure and reveal that the binding energy of ${}^{99}$Sn lies below values extrapolated from heavier isotopes.

6 pages, 2 figures