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In the last years, chiral effective field theory has been successfully developed for and applied to systems with few nucleons. Here, I present a new approach for ab initio calculations of nuclei that combines these precise and systematic…

Nuclear Theory · Physics 2015-05-27 Ulf-G. Meißner

We discuss lattice simulations of light nuclei at leading order in chiral effective field theory. Using lattice pion fields and auxiliary fields, we include the physics of instantaneous one-pion exchange and the leading-order S-wave contact…

Nuclear Theory · Physics 2008-11-26 Bugra Borasoy , Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner

The Monte Carlo shell model is a powerful technique for computational nuclear structure. Only a certain class of nuclear interactions, however, such as pairing and quadrupole, are free of the numerical noise known as the sign problem.This…

Nuclear Theory · Physics 2009-10-31 C. W. Johnson , D. J. Dean

Lattice effective field theory applies the principles of effective field theory in a lattice framework where space and time are discretized. Nucleons are placed on the lattice sites, and the interactions are tuned to replicate the observed…

Nuclear Theory · Physics 2025-10-07 Dean Lee

The shell model Monte Carlo (SMMC) method is a powerful method for calculating exactly (up to statistical errors) thermal observables and statistical properties of atomic nuclei. However, its application has been limited by a sign problem…

Nuclear Theory · Physics 2025-01-08 Y. Alhassid , P. Fanto , C. Özen

Quantum Monte Carlo (QMC) methods offer exact solutions for quantum many-body systems but face severe limitations in fermionic systems like atomic nuclei due to the sign problem. While sign-problem-free QMC algorithms exist and provide…

Nuclear Theory · Physics 2026-01-06 Zhong-Wang Niu , Bing-Nan Lu

We present a method to extrapolate nuclear binding energies from known values for neighbouring nuclei. We select four specific mass relations constructed to eliminate smooth variation of the binding energy as function nucleon numbers. The…

Nuclear Theory · Physics 2014-08-27 D. Hove , A. S. Jensen , K. Riisager

We present variational Monte Carlo calculations of the neutron matter equation of state using chiral nuclear forces. The ground-state wavefunction of neutron matter, containing non-perturbative many-body correlations, is obtained from…

Nuclear Theory · Physics 2014-11-06 G. Wlazłowski , J. W. Holt , S. Moroz , A. Bulgac , K. J. Roche

A non-zero signal $A_\gamma^\mathrm{np}=(-3.0\pm1.4\pm0.2)\times 10^{-8}$ of the gamma-ray asymmetry in the neutron-proton capture was recently reported by the NPDGamma Collaboration which provides the first determination of the $\Delta…

Nuclear Theory · Physics 2019-01-18 Feng-Kun Guo , Chien-Yeah Seng

We present an overview of the extension of Nuclear Lattice Effective Field Theory simulations to the regime of medium-mass nuclei. We focus on the determination of the ground-state energies of the alpha nuclei $^{16}$O, $^{20}$Ne, $^{24}$Mg…

Nuclear Theory · Physics 2014-08-20 Timo A. Lähde , Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner , Gautam Rupak

How does nuclear binding emerge from first principles? Our current best understanding of nuclear forces is based on a systematic low-energy expansion called chiral effective field theory. However, recent {\it ab initio} calculations of…

Nuclear Theory · Physics 2019-09-20 Bing-Nan Lu , Ning Li , Serdar Elhatisari , Dean Lee , Evgeny Epelbaum , Ulf-G. Meißner

We study the three-nucleon system at next-to-next-to-next-to-leading order ($\mathrm{N^3LO}$) in the framework of chiral effective field theory (EFT) on the lattice. Our calculations do not rely on a perturbative treatment of subleading…

Nuclear Theory · Physics 2024-12-02 Lukas Bovermann , Evgeny Epelbaum , Hermann Krebs , Dean Lee

Lattice QCD is rapidly progressing toward being able to reliably compute the electric dipole moment of the neutron as a function of the strong CP-violating parameter theta. Present day calculations are performed at unphysical values of the…

High Energy Physics - Lattice · Physics 2014-11-17 Donal O'Connell , Martin J. Savage

Nuclear lattice effective field theory (NLEFT) is an efficient \textit{ab initio} tool for solving nuclear many-body systems using the imaginary-time projection technique, where the preparation of trial states is essential for substantially…

Nuclear Theory · Physics 2025-12-29 Teng Wang , Xu Feng , Bing-Nan Lu

We present an \textit{ab initio} calculation of nuclear $\beta$ decay within the framework of nuclear lattice effective field theory (NLEFT), employing auxiliary-field quantum Monte Carlo methods to solve the nuclear many-body problem. Our…

Nuclear Theory · Physics 2026-01-06 Teng Wang , Xu Feng , Bing-Nan Lu

The nuclear force acting between protons and neutrons is studied in the Monte Carlo simulations of the fundamental theory of the strong interaction, the quantum chromodynamics defined on the hypercubic space-time lattice. After a brief…

High Energy Physics - Phenomenology · Physics 2009-07-09 S. Aoki , T. Hatsuda , N. Ishii

Lattice simulations are the only viable way to obtain ab-initio Quantum Chromodynamics (QCD) predictions for low energy nuclear physics. These calculations are done, however, in a finite box and therefore extrapolation is needed to get the…

Nuclear Theory · Physics 2020-11-04 Moti Eliyahu , Betzalel Bazak , Nir Barnea

We study nuclear and neutron matter by combining chiral effective field theory with non-perturbative lattice methods. In our approach nucleons and pions are treated as point particles on a lattice. This allows us to probe larger volumes,…

Nuclear Theory · Physics 2009-11-10 Dean Lee , Bugra Borasoy , Thomas Schaefer

Nuclear clustering describes the appearance of structures resembling smaller nuclei such as alpha particles (4He nuclei) within the interior of a larger nucleus. While clustering is important for several well-known examples, much remains to…

The shell model Monte Carlo (SMMC) approach provides a powerful method for the microscopic calculation of statistical and collective nuclear properties in model spaces that are many orders of magnitude larger than those that can be treated…

Nuclear Theory · Physics 2015-06-11 Y. Alhassid , A. Mukherjee , H. Nakada , C. Özen
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