@article{7c21857d6bec447991a6ec1f14647ebd,
title = "Quantum Monte Carlo formalism for dynamical pions and nucleons",
abstract = "In most simulations of nonrelativistic nuclear systems, the wave functions found solving the many-body Schr{\"o}dinger equations describe the quantum-mechanical amplitudes of the nucleonic degrees of freedom. In those simulations the pionic contributions are encoded in nuclear potentials and electroweak currents, and they determine the low-momentum behavior. In this work we present an alternative quantum Monte Carlo formalism in which both relativistic pions and nonrelativistic nucleons are explicitly included in the quantum-mechanical states of the system. We report the renormalization of the nucleon mass as a function of the momentum cutoff, a Euclidean time density correlation function that deals with the short-time nucleon diffusion, and the pion cloud density and momentum distributions. In the two-nucleon sector we show that the interaction of two static nucleons at large distances reduces to the one-pion exchange potential, and we fit the low-energy constants of the contact interactions to reproduce the binding energy of the deuteron and two neutrons in finite volumes. We show that the method can be readily applied to light-nuclei.",
author = "Lucas Madeira and Alessandro Lovato and Francesco Pederiva and Kevin Schmidt",
note = "Funding Information: We thank Pietro Faccioli, Paolo Armani, Ubirajara van Kolck, and Juan Nieves for important discussions about the subject of this paper. This work was supported by the National Science Foundation under Grant No. PHY-1404405. This work used the Extreme Science and Engineering Discovery Environment (XSEDE) SuperMIC and Stampede2 through the allocation TG-PHY160027, which is supported by National Science Foundation Grant No. ACI-1548562. This research has been supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under Contract No. DE-AC02-06CH11357. Funding Information: We thank Pietro Faccioli, Paolo Armani, Ubirajara van Kolck, and Juan Nieves for important discussions about the subject of this paper. This work was supported by the National Science Foundation under Grant No. PHY-1404405. This work used the Extreme Science and Engineering Discovery Environment (XSEDE) SuperMIC and Stampede2 through the allocation TG-PHY160027, which is supported by National Science Foundation Grant No. ACI-1548562. This research has been supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under Contract No. DE-AC02-06CH11357. Publisher Copyright: {\textcopyright} 2018 American Physical Society.",
year = "2018",
month = sep,
day = "27",
doi = "10.1103/PhysRevC.98.034005",
language = "English (US)",
volume = "98",
journal = "Physical Review C",
issn = "2469-9985",
publisher = "American Physical Society",
number = "3",
}