# Ground-State Properties of $^{4}$He and $^{16}$O Extrapolated from Lattice QCD with Pionless EFT

## TL;DR

This paper extends Pionless EFT to predict ground-state properties of helium-4 and oxygen-16 nuclei, using lattice QCD data and advanced quantum Monte Carlo methods, revealing insights into nuclear stability and quark mass sensitivity.

## Contribution

It introduces a novel application of Pionless EFT combined with lattice QCD inputs and a linear optimization in quantum Monte Carlo to study nuclear ground states.

## Key findings

- Helium-4 binding energy matches experimental and lattice results.
- No stable oxygen-16 state found at leading order.
- Method improves trial wave functions with many variational parameters.

## Abstract

We extend the prediction range of Pionless Effective Field Theory with an analysis of the ground state of $^{16}$O in leading order. To renormalize the theory, we use as input both experimental data and lattice QCD predictions of nuclear observables, which probe the sensitivity of nuclei to increased quark masses. The nuclear many-body Schr\"odinger equation is solved with the Auxiliary Field Diffusion Monte Carlo method. For the first time in a nuclear quantum Monte Carlo calculation, a linear optimization procedure, which allows us to devise an accurate trial wave function with a large number of variational parameters, is adopted. The method yields a binding energy of $^{4}$He which is in good agreement with experiment at physical pion mass and with lattice calculations at larger pion masses. At leading order we do not find any evidence of a $^{16}$O state which is stable against breakup into four $^4$He, although higher-order terms could bind $^{16}$O.