  Infinite nuclear matter is studied by resuming the series of ladder diagrams
based on the results developed by us in Ann. Phys. 437, 168741 (2022). The
master formula for the energy density is explicitly solved for the case of
contact interactions, within a pionless description of the nucleon-nucleon
interactions. Renormalized results are obtained which are directly expressed in
terms of the nucleon-nucleon phase shifts and mixing angles in partial-wave
amplitudes up to an including $G$ waves, with convergence reached under the
inclusion of higher partial waves. The energy per particle, density and sound
velocity resulting from the ladder series are given for symmetric and neutron
matter. This resummation of the ladder diagrams provides a rigorous result that
may be used as low-density reference for other parameterizations of
$\bar{\cal{E}}$ for higher densities.

Nuclear Theory;Quantum Gases;High Energy Physics - Phenomenology