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Nuclear Lattice Effective Field Theory is a new many-body approach that is firmly rooted in the symmetries of QCD. In particular, it allows for truly ab initio calculations of nuclear structure and reactions. In this talk, I focus on the…

Nuclear Theory · Physics 2015-09-29 Ulf-G. Meißner

The shell-model Monte Carlo (SMMC) technique transforms the traditional nuclear shell-model problem into a path-integral over auxiliary fields. We describe below the method and its applications to four physics issues: calculations of sdpf-…

Nuclear Theory · Physics 2009-10-31 D. J. Dean , J. A. White

A $\theta$ term in lattice field theory causes the sign problem in Monte Carlo simulations. This problem can be circumvented by Fourier-transforming the topological charge distribution $P(Q)$. This strategy, however, has a limitation,…

High Energy Physics - Lattice · Physics 2016-09-01 Masahiro Imachi , Yasuhiko Shinno , Hiroshi Yoneyama

Quantum Monte Carlo methods have recently been employed to study properties of nuclei and infinite matter using local chiral effective field theory interactions. In this work, we present a detailed description of the auxiliary field…

Nuclear Theory · Physics 2018-05-02 D. Lonardoni , S. Gandolfi , J. E. Lynn , C. Petrie , J. Carlson , K. E. Schmidt , A. Schwenk

The computational cost required to calculate nuclear correlation functions grows factorially in the number of quarks, making the study of large nuclei inaccessible to ab initio study using lattice QCD at the present time. However, the…

High Energy Physics - Lattice · Physics 2022-01-13 Nabil Humphrey , William Detmold , Ross D. Young , James M. Zanotti

In ab initio nuclear structure theory, accurately predicting electromagnetic observables, such as moments and transition rates, is essential for a comprehensive understanding of nuclear properties. However, computational limitations and…

Nuclear Theory · Physics 2025-12-22 Marco Knöll , Marc L. Agel , Tobias Wolfgruber , Pieter Maris , Robert Roth

Exploring nuclear physics through the fundamental constituents of the strong force -- quarks and gluons -- is a formidable challenge. While numerical calculations using lattice quantum chromodynamics offer the most promising approach for…

High Energy Physics - Lattice · Physics 2024-12-19 Debsubhra Chakraborty , Piyush Srivastava , Arpith Kumar , Nilmani Mathur

Variational Monte Carlo and Green's function Monte Carlo are powerful tools for calculations of properties of light nuclei using realistic two-nucleon and three-nucleon potentials. Recently the GFMC method has been extended to multiple…

Nuclear Theory · Physics 2009-11-10 Steven C. Pieper

We report a quantum Monte Carlo calculation of the equation of state of symmetric nuclear matter using local interactions derived from chiral effective field theory up to next-to-next-to-leading order fit to few-body observables only. The…

Nuclear Theory · Physics 2020-05-13 D. Lonardoni , I. Tews , S. Gandolfi , J. Carlson

We present recent results on lattice simulations using chiral effective field theory. In particular we discuss lattice simulations for dilute neutron matter at next-to-leading order and three-body forces in light nuclei at…

Nuclear Theory · Physics 2009-06-25 Dean Lee

We calculate electric and magnetic form factors of protons and neutrons in quenched Monte Carlo lattice QCD on a $16^3\times 24$ lattice at $\beta = 6.0$ using Wilson fermions. We employ a method which characterizes one of the nucleon…

High Energy Physics - Lattice · Physics 2008-11-26 Walter Wilcox , Terrence Draper , Keh-Fei Liu

While the shell model Monte Carlo approach has been successful in the microscopic calculation of nuclear state densities, it has been difficult to calculate accurately state densities of odd-even heavy nuclei. This is because the projection…

Nuclear Theory · Physics 2013-04-30 C. Özen , Y. Alhassid , H. Nakada

Low-energy tests of fundamental symmetries are extremely sensitive probes of physics beyond the Standard Model, reaching scales that are comparable, if not higher, than directly accessible at the energy frontier. The interpretation of…

High Energy Physics - Lattice · Physics 2019-01-01 Emanuele Mereghetti

Lattice QCD at finite baryon chemical potential has the infamous sign problem which hinders Monte Carlo simulations. This can be remedied by a dual representation that makes the sign problem mild. In the strong coupling limit, the dual…

High Energy Physics - Lattice · Physics 2022-12-07 Jangho Kim , Pratitee Pattanaik , Wolfgang Unger

The mean-field approximation predicts pairing and shape phase transitions in nuclei as a function of temperature or excitation energy. However, in the finite nucleus the singularities of these phase transitions are smoothed out by quantal…

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

It has been argued that the leading scalar-isoscalar WIMP-nucleus interactions receive parametrically enhanced contributions in the context of nuclear effective field theories. These contributions arise from meson-exchange currents (MECs)…

High Energy Physics - Phenomenology · Physics 2015-03-19 S. R. Beane , S. D. Cohen , W. Detmold , H. -W. Lin , M. J. Savage

We present a practical solution to the "sign problem" in the auxiliary field Monte Carlo approach to the nuclear shell model. The method is based on extrapolation from a continuous family of problem-free Hamiltonians. To demonstrate the…

Nuclear Theory · Physics 2008-11-26 Y. Alhassid , D. J. Dean , S. E. Koonin , G. Lang , W. E. Ormand

We introduce a novel method within the shell model Monte Carlo approach to calculate the ground-state energy of a finite-size system with an odd number of particles by using the asymptotic behavior of the imaginary-time single-particle…

Nuclear Theory · Physics 2015-06-03 Abhishek Mukherjee , Y. Alhassid

We calculate the ground-state energy of 4He, 8He, 16O, and 40Ca using the auxiliary field diffusion Monte Carlo method in the fixed phase approximation and the Argonne v6' interaction which includes a tensor force. Comparison of our light…

Nuclear Theory · Physics 2008-11-26 S. Gandolfi , F. Pederiva , S. Fantoni , K. E. Schmidt

We extend Nuclear Lattice Effective Field Theory (NLEFT) to medium-mass nuclei, and present results for the ground states of alpha nuclei from $^4$He to $^{28}$Si, calculated up to next-to-next-to-leading order (NNLO) in the EFT expansion.…

Nuclear Theory · Physics 2014-04-11 Timo A. Lähde , Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner , Gautam Rupak