Quantum Monte Carlo calculations of two neutrons in finite volume

Klos, Philipp; Lynn, J. E.; Tews, Ingo; Gandolfi, Stefano; Gezerlis, Alexandros; Hammer, H.-W.; Hoferichter, Martin; Schwenk, A.

doi:10.1103/physrevc.94.054005

Cited by 22 publications

(20 citation statements)

References 40 publications

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“…The GFMC method has been used to study the ground state of light nuclei employing local chiral interactions [20][21][22][23][25][26][27][28][29]. The same potentials have been used in AFDMC calculations of pure neutron systems, ranging from few-body systems [30][31][32] to pure neutron matter [20][21][22]. More recently, the first AFDMC study of p-shell nuclei employing local chiral interactions has been reported [33].…”

Section: Introductionmentioning

confidence: 99%

Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions

et al. 2018

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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 diffusion Monte Carlo algorithm for nuclei in combination with local chiral two-and three-nucleon interactions up to next-to-next-to-leading order. We show results for the binding energy, charge radius, charge form factor, and Coulomb sum rule in nuclei with 3 ≤ A ≤ 16. Particular attention is devoted to the effect of different operator structures in the three-body force for different cutoffs. The outcomes suggest that local chiral interactions fit to few-body observables give a very good description of the ground-state properties of nuclei up to 16 O, with the exception of one fit for the softer cutoff which predicts overbinding in larger nuclei. arXiv:1802.08932v1 [nucl-th]

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Section: Introductionmentioning

confidence: 99%

Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions

et al. 2018

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“…In recent years, however, it was realized that all sources of nonlocality can be removed up to next-to-next-toleading order (N 2 LO) in the standard Weinberg power counting. This led to the development of local chiral interactions and their implementation in QMC methods [19,[24][25][26][27] and has allowed for the first QMC studies of light nuclei, neutron matter, and other light neutron systems with chiral EFT interactions at N 2 LO including 3N interactions [28][29][30][31][32]. In this paper, we provide details for the calculations of light nuclei and present additional results.…”

Section: Introductionmentioning

confidence: 99%

Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions

et al. 2017

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Local chiral effective field theory interactions have recently been developed and used in the context of quantum Monte Carlo few-and many-body methods for nuclear physics. In this work, we go over detailed features of local chiral nucleon-nucleon interactions and examine their effect on properties of the deuteron, paying special attention to the perturbativeness of the expansion. We then turn to three-nucleon interactions, focusing on operator ambiguities and their interplay with regulator effects. We then discuss the nuclear Green's function Monte Carlo method, going over both wave-function correlations and approximations for the two-and three-body propagators. Following this, we present a range of results on light nuclei: Binding energies and distribution functions are contrasted and compared, starting from several different microscopic interactions.

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“…[24][25][26]) and as two nucleons using QMC methods in Ref. [27]. These results are directly tied to the phase shifts of the neutron-neutron interaction via the Lüscher formula.…”

Section: Results For N = 3 Andmentioning

confidence: 92%

Small bits of cold dense matter

et al. 2018

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The behavior of QCD at high baryon density and low temperature is crucial to understanding the properties of neutron stars and gravitational waves emitted during their mergers. In this paper we study small systems of baryons in periodic boundary conditions to probe the properties of QCD at high baryon density. By comparing calculations based on nucleon degrees of freedom to simple quark models we show that specific features of the nuclear spectrum, including shell structure and nucleon pairing, emerge if nucleons are the primary degrees of freedom. Very small systems should also be amenable to studies in lattice QCD, unlike larger systems where the fermion sign problem is much more severe. Through comparisons of lattice QCD and nuclear calculations it should be possible to gain, at least at a semi-quantitative level, more understanding of the cold dense equation of state as probed in neutron stars.

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Quantum Monte Carlo calculations of two neutrons in finite volume

Cited by 22 publications

References 40 publications

Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions

Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions

Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions

Small bits of cold dense matter

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