Local three-nucleon interaction from chiral effective field theory

Navrátil, Petr

doi:10.1007/s00601-007-0193-3

Cited by 286 publications

(226 citation statements)

References 42 publications

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“…[51,52]. For the 3N interactions we used the NNLO with a reduced local cutoff of Λ 3N = 400 MeV/c [43,53]. This includes the two-pion exchange contribution that was originally proposed by Fujita and Miyazawa [54].…”

Section: Calculationsmentioning

confidence: 99%

Chiral three-nucleon forces and the evolution of correlations along the oxygen isotopic chain

2015

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Background: Three-nucleon forces (3NFs) have non trivial implications on the evolution of correlations at extreme proton-neutron asymmetries. Recent ab initio calculations show that leading order chiral interactions are crucial to obtain the correct binding energies and neutron driplines along the O, N, and F chains, Ref.[A. Cipollone, C. Barbieri, P. Navrátil, Phys. Rev. Lett 111, 062501 (2013)].Purpose: Here, we discuss the impact of 3NFs along the oxygen chain for other quantities of interest, such has the spectral distribution for attachment and removal of a nucleon, spectroscopic factors and radii. The objective is to better delineate the general effects of 3NFs on nuclear correlations. Methods:We employ self-consistent Green's function (SCGF) theory which allows a comprehensive calculation of the single particle spectral function. For the closed subshell isotopes, 14 O, 16 O, 22 O, 24 O and 28 O, we perform calculations with the Dyson-ADC(3) method which is fully non-perturbative and is the state of the art for both nuclear physic and quantum chemistry applications. The remaining open shell isotopes are studied using the newly developed Gorkov-SCGF formalism up to second order. Results:We produce complete plots for the spectral distributions. The spectroscopic factors for the dominant quasiparticle peaks are found to depend very little on the leading order (NNLO) chiral 3NFs. The latters have small impact on the calculated matter radii, which, however are consistently obtained smaller than experiment. Similarly, single particle spectra tend to be too spread with respect to the experiment. This effect might hinder, to some extent, the onset of correlations and screen the quenching of calculated spectroscopic factors. The most important effect of 3NFs is thus the fine tuning of the energies for the dominant quasiparticle states, which governs the shell evolution and the position of driplines.Conclusions: Although present chiral NNLO 3NFs interactions do reproduce the binding energies correctly in this mass region, the details of the nuclear spectral function remain at odd with the experiment showing too small radii and a too spread single particle spectrum, similar to what already pointed out for larger masses. This suggests a lack of repulsion in the present model of NN+3N interactions which is mildly apparent already for masses in the A=14-28 range.

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Section: Calculationsmentioning

confidence: 99%

Chiral three-nucleon forces and the evolution of correlations along the oxygen isotopic chain

2015

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“…[11]. However, significant variations of the 2 P 3/2 and 2 P 1/2 phase shifts at low-energy as a function of the number of states (the first seven) used to describe the 4 He nucleus did not allow for definitive conclusions on the ability of the present Hamiltonian to reproduce the observed 5 He properties. As shown in Fig.…”

Section: Three-nucleon Forces and Continuummentioning

confidence: 77%

“…The unbound 5 He nucleus is an excellent testing ground for such an endeavor. Earlier studies of its g.s.…”

Section: Three-nucleon Forces and Continuummentioning

confidence: 99%

Toward a Fundamental Understanding of Nuclear Reactions and Exotic Nuclei

Quaglioni¹,

Hupin²,

Langhammer³

et al. 2015

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

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Nuclear systems near the drip lines offer an exciting opportunity to advance our understanding of the interactions among nucleons, which has so far been mostly based on the study of stable nuclei. However, this is not a goal devoid of challenges. From a theoretical standpoint, it requires the capability to address within an ab initio framework not only bound, but also resonant and scattering states, all of which can be strongly coupled. In recent years, significant progress has been made in ab initio nuclear structure and reaction calculations based on input from Quantum Chromodynamics employing Hamiltonians constructed within chiral effective field theory. In this contribution, we present a brief overview of one of such methods, the ab initio no-core shell model with continuum, and its applications to nucleon and deuterium scattering on light nuclei. The first investigation of the low-lying continuum spectrum of 6 He within an ab initio framework that encompasses the 4 He+n+n three-cluster dynamics characterizing its lowest particle-decay channel will also be briefly presented.KEYWORDS: ab initio calculations, exotic nuclei, low-energy reactions Ab initio nuclear theory including the continuumLight exotic nuclei offer an exciting opportunity to test our understanding of nuclear properties in terms of forces emerging from the underlying theory of Quantum Chromodynamics (QCD). This is not a goal devoid of challenges. Experimentally, the study of rare nuclei is challenged by their short half lives and minute production cross sections. A major stumbling block in nuclear theory has to deal with the low breakup thresholds, which can lead to multi-particle emissions, and can cause bound, resonant and scattering states to be strongly coupled. Even worse, many of the systems we are interested in are simply unbound. Hence, to achieve a fundamental understanding of exotic nuclei we need both advanced experimental techniques and an ab initio nuclear theory including the continuum. In the following we briefly outline the elements of one of such theories, the ab initio no-core shell model with continuum (NCSMC). Nuclear forcesTo develop such an ab initio theory, we start from nuclear interactions grounded in the underlying theory of Quantum Chromodynamics via chiral effective field theory [1][2][3], where nucleons and pions are the only explicit degrees of freedom and the strong interaction is systematically expanded in terms of positive powers of small momenta Q (the generic momentum in the nuclear process or the pion mass) over the chiral symmetry breaking scale Λ ∼ 1 GeV. The nuclear forces emerging from such a procedure order by order are schematically represented by the diagrams of Fig. 1. In particular, we 1

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“…For comparison, we include in the first and second column the excitation energies obtained 4 . Experimental data taken from [30].…”

Section: Pos(cd12)015mentioning

confidence: 99%

“…The most advanced nuclear Hamiltonian from chiral EFT available in terms of matrix elements at the moment consists of a high-precision two-nulceon (NN) interaction at N 3 LO [1,2] along with a chiral three-nucleon (3N) force at N 2 LO [3,4]. Computations are underway to provide matrix elements of the 3N force consistently at order N 3 LO [5,6].…”

Section: Introductionmentioning

confidence: 99%

From Chiral EFT interactions to nuclear structure and reactions

Roth¹,

Langhammer²,

Calci³

et al. 2013

Proceedings of the 7th International Workshop on Chiral Dynamics — PoS(CD12)

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Chiral effective field theory provides nuclear interactions rooted in Quantum Chromodynamics in a systematic and consistent manner. To assess the quality and predictive power of chiral twonucleon (NN) and three-nucleon (3N) interactions, ab initio calculations of a variety of nuclear observables are crucial. However, the inclusion of chiral 3N interactions into exact many-body calculations is demanding and computationally expensive. Recently, we completed a number of key developments which permit ab initio calculations of ground and low-lying excited states of pand sd-shell nuclei with full 3N interactions in the Importance-Truncated No-Core Shell Model using consistent Similarity Renormalization Group transformations of the NN+3N Hamiltonian. The explicit treatment of 3N interactions without approximations allows for first studies of the dependence of nuclear-structure observables on the details of chiral interactions. We present first results of sensitivity studies with respect to variations of the low-energy constants and the chiral cutoff of the chiral 3N interactions. Our results hint at missing operator structures in the leading chiral 3N interactions which seem to be necessary to describe certain excited states in p-shell nuclei properly.

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Local three-nucleon interaction from chiral effective field theory

Cited by 286 publications

References 42 publications

Chiral three-nucleon forces and the evolution of correlations along the oxygen isotopic chain

Chiral three-nucleon forces and the evolution of correlations along the oxygen isotopic chain

Toward a Fundamental Understanding of Nuclear Reactions and Exotic Nuclei

From Chiral EFT interactions to nuclear structure and reactions

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