Chiral effective field theory and nuclear forces

Machleidt, R.; Entem, D. R.

doi:10.1016/j.physrep.2011.02.001

Cited by 1,642 publications

(2,252 citation statements)

References 229 publications

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“…The original NN interaction is the next-to-next-to-next-to-leading order (N3LO) with a cutoff Λ NN = 500 MeV/c, from Refs. [51,52]. For the 3N interactions we used the NNLO with a reduced local cutoff of Λ 3N = 400 MeV/c [43,53].…”

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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“…To 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.…”

Section: Nuclear Forcesmentioning

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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“…The power counting underlying this potential explains the phenomenological observations that the two-nucleon forces are dominant, but smaller three-body forces are required to explain e.g. the 3 H- 3 He mass difference. In such calculations, one essentially fits the appearing parameters (the low-energy constants, LECs) in systems of two or three nucleons and then performs numerically exact calculation for systems up to A = 4 using the Faddeev-Yakubowsky machinery or other well established methods.…”

Section: Introductionmentioning

confidence: 99%

“…in Refs. [2][3][4]. For going beyond light nuclei, one can either combine these forces with standard many-body methods like the no-core-shell-model, the coupled cluster approach, and so on (for some recent such works see Refs.…”

Section: Introductionmentioning

confidence: 99%