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We present quantum Monte Carlo calculations of light nuclei, neutron-$\alpha$ scattering, and neutron matter using local two- and three-nucleon ($3N$) interactions derived from chiral effective field theory up to next-to-next-to-leading…

Nuclear Theory · Physics 2016-02-18 J. E. Lynn , I. Tews , J. Carlson , S. Gandolfi , A. Gezerlis , K. E. Schmidt , A. Schwenk

Monte Carlo simulations have been used to study the phase diagrams for square Ising-lattice gas models with two-body and three-body interactions for values of interaction parameters in a range that has not been previously considered. We…

Statistical Mechanics · Physics 2015-05-14 Junqi Yin , D. P. Landau

The purpose of this work is to show that within a three-body description, the complete fusion process and the target excitation by the projectile can be taken into account by introducing a three-body optical potential in the formalism. We…

Nuclear Theory · Physics 2009-11-10 M. S. Hussein , B. V. Carlson , T. Frederico , T. Tarutina

The contact interaction is often used in modeling ultracold atomic gases, although it leads to pathological behavior arising from the divergence of the many-body wavefunction when two particles coalesce. This makes it difficult to use this…

Quantum Gases · Physics 2014-12-22 P. O. Bugnion , P. López Ríos , R. J. Needs , G. J. Conduit

The shell model solve the nuclear many-body problem in a restricted model space and takes into account the restricted nature of the space by using effective interactions and operators. In this paper two different methods for generating the…

Nuclear Theory · Physics 2009-11-11 B. K. Jennings

Three-nucleon interactions are a frontier in understanding and predicting the structure of strongly-interacting matter in laboratory nuclei and in the cosmos. We present results and discuss the status of first calculations with microscopic…

Nuclear Theory · Physics 2011-04-11 A. Schwenk , J. D. Holt

We present theoretical ground state energies and their uncertainties for p-shell nuclei obtained from chiral effective field theory internucleon interactions as a function of chiral order, fitted to two- and three-body data only. We apply a…

Nuclear Theory · Physics 2023-06-01 P. Maris , H. Le , A. Nogga , R. Roth , J. P. Vary

The problem of $N$ particles interacting through pairwise central forces is notoriously intractable for $N\geq3$. Some quite remarkable specific cases have been solved in one dimension, whereas higher-dimensional exactly solved systems…

Mathematical Physics · Physics 2014-10-24 A. Botero , F. Leyvraz

We report accurate quantum Monte Carlo calculations of nuclei up to $A=16$ based on local chiral two- and three-nucleon interactions up to next-to-next-to-leading order. We examine the theoretical uncertainties associated with the chiral…

Nuclear Theory · Physics 2018-03-29 D. Lonardoni , J. Carlson , S. Gandolfi , J. E. Lynn , K. E. Schmidt , A. Schwenk , X. B. Wang

Based on the many-body theory of metals in the third order of the perturbation expansion in electron-ion interaction pseudopotential, the potentials of pair and three-ion interactions are calculated in liquid lead, aluminium and beryllium…

Materials Science · Physics 2007-05-23 E. V. Vasiliu

The problem of nonlocality in the dynamical three-body Casimir-Polder interaction between an initially excited and two ground-state atoms is considered. It is shown that the nonlocal spatial correlations of the field emitted by the excited…

Quantum Physics · Physics 2009-11-13 R. Passante , F. Persico , L. Rizzuto

Following a strong analogy with two-dimensional physics, the three-body pseudo-potential in one dimension is derived. The Born approximation is then considered in the context of ultracold atoms in a linear harmonic waveguide. In the…

Quantum Gases · Physics 2019-01-30 Ludovic Pricoupenko

A new effective field theory has been developed to describe shallow $P$-wave resonances using nonlocal, momentum-dependent two-body potentials. This approach is expected to facilitate many-body calculations and has been demonstrated to…

Nuclear Theory · Physics 2023-09-04 Qingfeng Li , Songlin Lyu , Chen Ji , Bingwei Long

The potentials $V (v)$ in the nonrelativistic (relativistic) nucleon-nucleon (NN) Schroedingerequation are related by a quadratic equation. That equation is numerically solved, thus providing phase equivalent v- potentials related for…

Nuclear Theory · Physics 2008-11-26 H. Kamada , W. Gloeckle

We develop the perturbation theory for bosons interacting via a two-body potential $V$ of vanishing mean value. We find that the leading nonpairwise contribution to the energy emerges in the third order in $V$ and represents an effective…

Quantum Gases · Physics 2021-04-07 A. Pricoupenko , D. S. Petrov

In this work, algorithms for the parallel computation of three-body interactions in molecular dynamics are developed. While traversals for the computation of pair interactions are readily available in the literature, here, such traversals…

Computational Engineering, Finance, and Science · Computer Science 2025-10-27 Jose Alfonso Pinzon Escobar , Markus Mühlhäußer , Hans-Joachim Bungartz , Philipp Neumann

In this paper, we studied a dilute quasi two-dimensional dipolar Bose-condensed with two- and three-body contact, and Coulomb interactions using the Hartree-Fock-Bogoliubov-Popov approximation. We analyze numerically the effects of…

Quantum Gases · Physics 2022-03-02 S. Mostafa Moniri , Heshmatollah Yavari , Elnaz Darsheshdar

This paper concerns the theory of direct A(d,p)B reactions and how practical 3-body models of them are related to optical model potentials describing the interaction of the deuteron's constituents and the target A. A new definition of the…

Nuclear Theory · Physics 2021-08-26 R. C. Johnson

Recently a formalism for a direct treatment of the Faddeev equation for the three-nucleon bound state in three dimensions has been proposed. It relies on an operator representation of the Faddeev component in the momentum space and leads to…

Nuclear Theory · Physics 2015-06-05 J. Golak , K. Topolnicki , R. Skibinski , W. Gloeckle , H. Kamada , A. Nogga

We have performed a calculation for the three body $\Delta \rho \pi$ system by using the fixed center approximation to Faddeev equations, taking the interaction between $\Delta$ and $\rho$, $\Delta$ and$\pi$, and $\rho$ and $\pi$ from the…

Nuclear Theory · Physics 2011-05-31 Ju-Jun Xie , A. Martinez Torres , E. Oset , P. Gonzalez