scholarly journals Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances

2019 ◽  
Vol 69 (1) ◽  
pp. 279-305 ◽  
Author(s):  
J.E. Lynn ◽  
I. Tews ◽  
S. Gandolfi ◽  
A. Lovato
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Nuclear Physics ◽  
Degrees Of Freedom ◽  
Effective Field ◽  
Binding Energies ◽  
Neutron Matter ◽  
Light Nuclei ◽  
Medium Mass ◽  
Recent Developments

In recent years, the combination of precise quantum Monte Carlo (QMC) methods with realistic nuclear interactions and consistent electroweak currents, in particular those constructed within effective field theories (EFTs), has led to new insights in light and medium-mass nuclei, neutron matter, and electroweak reactions. For example, with the same chiral interactions, QMC calculations can reproduce binding energies and radii for light nuclei, n–α scattering phase shifts, and the neutron matter equation of state. This compelling new body of work has been made possible both by advances in QMC methods for nuclear physics, which push the bounds of applicability to heavier nuclei and to asymmetric nuclear matter, and by the development of local chiral EFT interactions up to next-to-next-to-leading order and minimally nonlocal interactions including Δ degrees of freedom. In this review, we discuss these recent developments and give an overview of the exciting results for nuclei, neutron matter and neutron stars, and electroweak reactions.

Pseudopotential Portability in the Qmc Framework

1992 ◽  
Vol 291 ◽  
Author(s):  
M. Menchi ◽  
A. Bosin ◽  
F. Meloni ◽  
G. B. Bachelet
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Single Particle ◽  
Quantum Monte Carlo ◽  
Effective Field ◽  
Binding Energies ◽  
Many Body ◽  
Particle Theory ◽  
Quantum Monte Carlo Method

ABSTRACTWe have calculated the binding energies of several two-electron pseudoions using the Diffusion Quantum Monte Carlo method. The comparison between our results and the experiment suggests that HSC pseudopotentials are portable from the original single particle theory (DFT-LDA) to the “exact” many body one. Moreover we are able to evaluate the degree of portability of each effective field.

scholarly journals Spin Susceptibility in Neutron Matter from Quantum Monte Carlo Calculations

Particles ◽  
2020 ◽  
Vol 3 (4) ◽  
pp. 706-718
Author(s):  
Luca Riz ◽  
Francesco Pederiva ◽  
Diego Lonardoni ◽  
Stefano Gandolfi
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Finite Size ◽  
Effective Field ◽  
Spin Susceptibility ◽  
Neutron Matter ◽  
Chiral Effective Field Theory ◽  
Spin Asymmetries ◽  
Monte Carlo Calculations ◽  
Wide Range

The spin susceptibility in pure neutron matter is computed from auxiliary field diffusion Monte Carlo calculations over a wide range of densities. The calculations are performed for different spin asymmetries, while using twist-averaged boundary conditions to reduce finite-size effects. The employed nuclear interactions include both the phenomenological Argonne AV8′ + UIX potential and local interactions that are derived from chiral effective field theory up to next-to-next-to-leading order.

scholarly journals Recent Developments in Nuclear Physics

1993 ◽  
Vol 46 (1) ◽  
pp. 15
Author(s):  
Torleif EO Ericson
Keyword(s):  
Nuclear Physics ◽  
Degrees Of Freedom ◽  
Pion Mass ◽  
Effective Field ◽  
Collective State ◽  
Exchange Reactions ◽  
Propagation Of Light ◽  
Recent Developments ◽  
Virtual Pion ◽  
Model Independent

Nuclei exhibit features that are described in superficially contradictory terms according to the different degrees of freedom that are excited by probes of different scale in space and in time. After giving some examples I concentrate on the hadron degrees of freedom such as the nucleon, the pion and the .6. isobar. These are the effective degrees of freedom on the level of intermediate resolution: about 0�5-1 fm in distance and correspondingly in time. A prime example is the deuteron :which has a nearly model-independent description in terms of pion physics to very high precision. In nuclear matter the pion propagates in close analogy to the propagation of light in a dielectric. This permits the explanation of a number of features in nuclei related to the chiral symmetry limit in which the pion mass vanishes. A consequence of this description is the analogy of the equations for the pion and its effective field with the Maxwell equations for a dielectric. A pionic collective mode should appear strongly and with characteristic properties for a well chosen probe. It is difficult to explore its properties directly and in particular physical pions are not useful for this purpose. I will discuss different alternatives involving 'virtual pion beams'. There is recent evidence for such a collective state in forward charge exchange reactions throughout the periodic system.

scholarly journals Quantum Monte Carlo calculations of neutron matter

2003 ◽  
Vol 68 (2) ◽  
Author(s):  
J. Carlson ◽  
J. Morales ◽  
V. R. Pandharipande ◽  
D. G. Ravenhall
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Neutron Matter ◽  
Monte Carlo Calculations

A quantum Monte Carlo study on electron correlation effects in small aluminum hydride clusters

2015 ◽  
Vol 39 (3) ◽  
pp. 2195-2201 ◽  
Author(s):  
J. Higino Damasceno ◽  
J. N. Teixeira Rabelo ◽  
Ladir Cândido
Keyword(s):  
Monte Carlo ◽  
Electron Correlation ◽  
Quantum Monte Carlo ◽  
Aluminum Hydride ◽  
Monte Carlo Study ◽  
Binding Energies ◽  
Electron Interaction ◽  
Correlation Effects ◽  
Ionic Clusters ◽  
Electron Correlation Effects

Using accurate methods we calculate binding energies to discuss the electron–electron interaction in the formation of AlnHm ionic clusters.

Quantum Monte Carlo binding energies for silicon hydrides

1997 ◽  
Vol 106 (15) ◽  
pp. 6412-6417 ◽  
Author(s):  
C. W. Greeff ◽  
W. A. Lester, Jr.
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Binding Energies ◽  
Silicon Hydrides

scholarly journals Neutron matter with Quantum Monte Carlo: chiral 3N forces and static response

2016 ◽  
Vol 702 ◽  
pp. 012014
Author(s):  
M Buraczynski ◽  
S Gandolfi ◽  
A Gezerlis ◽  
A Schwenk ◽  
I Tews
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Neutron Matter ◽  
Static Response

NUCLEAR FORCES AND FEW NUCLEON SYSTEMS IN CHIRAL EFFECTIVE FIELD THEORY

2009 ◽  
Vol 24 (11n13) ◽  
pp. 921-930
Author(s):  
HERMANN KREBS
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Degrees Of Freedom ◽  
Effective Field ◽  
Chiral Expansion ◽  
Light Nuclei ◽  
Nuclear Forces ◽  
Chiral Effective Field Theory ◽  
Promising Tool ◽  
Many Body Systems

Using chiral effective field theory (EFT) with explicit Δ degrees of freedom we calculated nuclear forces up to next-to-next-to-leading order (N2LO). We find a much improved convergence of the chiral expansion in all peripheral partial waves. We also present a novel lattice EFT method developed for systems with larger number of nucleons. Combining Monte Carlo lattice simulations with EFT allows one to calculate the properties of light nuclei, neutron and nuclear matter. Accurate description of two-nucleon phase-shifts and ground state energy ratio of dilute neutron matter up to corrections of higher orders show that lattice EFT is a promising tool for quantitative studies of low-energy few- and many-body systems.

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