Lattice Effective Field Theory Calculations for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn></mml:math>, 4, 6, 12 Nuclei

Epelbaum, E.; Krebs, H.; Lee, Dean; Meißner, Ulf‐G.

doi:10.1103/physrevlett.104.142501

Cited by 96 publications

(101 citation statements)

References 40 publications

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“…The first non-trivial predictions are then the momentum dependence of the pp 1 S 0 partial wave, which agrees nicely with the Nijmegen PWA result [11] and the binding energy difference of the triton and 3 He. We find E( 3 He) − E( 3 H) = 0.78(5) MeV [12], in good agreement with the empirical value of 0.76 MeV.…”

Section: -P2supporting

confidence: 88%

Nuclear lattice simulations: Status and perspectives

Meißner

2014

EPJ Web of Conferences

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Abstract. I review the present status of nuclear lattice simulations. This talk is dedicated to the memory of Gerald E. Brown. Prologue: In memoriam of Gerald E. BrownJust a few days before this talk, my beloved teacher Gerry Brown passed away in the age of 86. Not only me but also the nuclear physics community owes him a lot. We will always remember him as a superb physicist, a gifted teacher and a wonderful (hu)man. Thank you, Gerry! IntroductionThis talk is a natural extension of my presentation at INPC 2004, where I gave a plenary talk titled "Modern theory of nuclear forces" [1]. There, I presented the developments of the chiral effective field theory (EFT) approach to the nuclear force problem initiated by Steven Weinberg in 1990 [2]. This scheme allows for a consistent and accurate description of the forces between two, three and four nucleons, based on the symmetries of QCD, with controllable theoretical errors and a systematic scheme to improve the precision. Much progress has been made in the applications and tests of these forces in few-nucleon systems, for a cornucopia of bound state or scattering calculations, see e.g. the recent reviews [3,4] and also the talk by Machleidt at this conference. It is therefore natural to ask how to address the properties of nuclei with A > 4. There are essentially two ways of doing that. On the one hand, one can combine standard many-body techniques like the (no-core) shell model or coupled cluster approaches with these forces as discussed e.g by Bacca [5] and Roth [6] (often using a low-momentum a.k.a. soft representation of the forces). On the other hand, one can try to devise a new approach to tackle the many-body problem that is tailored to the chiral EFT approach. This novel scheme, that combines the EFT description of the few-nucleon forces with Monte-Carlo simulation techniques, will be discussed here. It is called nuclear lattice simulations and was introduced for atomic nuclei in Ref. [7] and subsequently developed in few-nucleon systems (see the review by Lee that contains references to earlier related and pioneering work [8]). Here, I will discuss the progress made in the description of nuclei that has been made in the last years, particularly with respect to the spectrum and structure of 12 C and other α-cluster type nuclei.⋆ Lecture sponsored by The European Physical Journal A -Hadrons and Nuclei a

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Section: -P2supporting

confidence: 88%

Nuclear lattice simulations: Status and perspectives

Meißner

2014

EPJ Web of Conferences

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“…be fixed from two three-nucleon observables. The first non-trivial prediction is then the binding mass difference E( 3 He) − E( 3 H) = 0.76(5) MeV [20], which agrees nicely with the empirical value of 0.76 MeV. We have mostly addressed α-cluster nuclei so far since these pose some unresolved mysteries and are also most accessible to the simulations because the sign oscillations are strongly suppressed.…”

Section: Resultssupporting

confidence: 66%

Structure of Nuclei from Lattice Simulations

Meißner¹

2015

Proceedings of the Conference on Advances in Radioactive Isotope Science (ARIS2014)

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“…now is the recent advent of lattice QCD calculations of light nuclei [11][12][13] and corresponding calculations in nuclear effective field theory on the lattice [14][15][16][17]. In order to fully exploit these advances, a formalism is needed to translate the "raw" lattice results into physical observables like cross sections into various two-and three-body channels, etc.…”

Section: Jhep09(2017)109mentioning

confidence: 99%

Three-particle quantization condition in a finite volume: 1. The role of the three-particle force

Hammer

Pang²,

Rusetsky³

2017

J. High Energ. Phys.

175

213

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Using non-relativistic effective Lagrangians in the particle-dimer picture, we rederive the expression for the energy shift of a loosely bound three-particle bound state of identical bosons in the unitary limit. The effective field theory formalism allows us to explicitly investigate the role of the three-particle force. Moreover, we discuss relaxing the unitary limit of infinite scattering length and demonstrate a smooth transition from the weakly bound three-particle state to a two-particle bound state of a particle and a deeply bound dimer.

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Lattice Effective Field Theory Calculations forA=3, 4, 6, 12 Nuclei

Abstract: We present lattice results for the ground state energies of tritium, helium-3, helium-4, lithium-6, and carbon-12 nuclei. Our analysis includes isospin breaking, Coulomb effects, and interactions up to next-to-next-to-leading order in chiral effective field theory.

Cited by 96 publications

References 40 publications

Nuclear lattice simulations: Status and perspectives

Nuclear lattice simulations: Status and perspectives

Structure of Nuclei from Lattice Simulations

Three-particle quantization condition in a finite volume: 1. The role of the three-particle force

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