Light-Nuclei Spectra from Chiral Dynamics

Piarulli, M.; Baroni, Alessandro; Girlanda, L.; Kievsky, A.; Lovato, Alessandro; Lusk, Ewing L.; Marcucci, L. E.; Pieper, Steven C.; Schiavilla, R.; Viviani, M.; Wiringa, R. B.

doi:10.1103/physrevlett.120.052503

Cited by 147 publications

(199 citation statements)

References 69 publications

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“…[67] for the two-nucleon, and in Refs. [1,68] for the thee-nucleon interaction. The two-nucleon models are labeled NVIa, NVIIa, NVIb and NVIIb depending on the cutoff value and the maximum laboratory energy of the considered N N database.…”

Section: Selected Resultsmentioning

confidence: 99%

“…We briefly outline the fitting procedure in order to better understand the results, and we refer to Refs. [1,68,69] for more details. The 3 H and 3 He ground state wave functions are calculated using a given two-and three-nucleon potential, and the corresponding LECs c D and c E are determined by fitting the A = 3 experimental binding energies, corrected for a small contribution (+7 keV in 3 H and −7 keV in 3 He), due to the n − p mass difference [36], since in the present HH method this effect is neglected.…”

Section: A a = 3 4 Bound Statesmentioning

confidence: 99%

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The Hyperspherical Harmonics Method: A Tool for Testing and Improving Nuclear Interaction Models

et al. 2020

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The Hyperspherical Harmonics (HH) method is one of the most accurate techniques to solve the quantum mechanical problem for nuclear systems with A ≤ 4. In particular, by applying the Rayleigh-Ritz or Kohn variational principle, both bound and scattering states can be addressed, using either local or non-local interactions. Thanks to this versatility, the method can be used to test the two-and three-nucleon components of the nuclear interaction.In the present review we introduce the formalism of the HH method, both for bound and scattering states. In particular, we describe the implementation of the method to study the A = 3 and 4 scattering problem. Second, we present a selected choice of results of the last decade, most representative of the latest achievements. Finally, we conclude with a discussion of what we believe will be the most significant developments within the HH method for the next five-to-ten years.on Monte Carlo techniques, as the variational Monte Carlo (VMC) or the Green's function Monte Carlo (GFMC) methods (see Ref. [7], and references therein). There are then the methods linked to the shell model, as the no-core shell model (NCSM) or the realistic shell model (RSM), see Refs. [8] and [9,10], respectively. All these methods are quite powerful to study medium-mass nuclear bound states, but less accurate, apart from the GFMC and NCSM, for very light nuclei, as those with A = 3, 4. Furthermore, their extension to the scattering systems is not so trivial, and, in some cases, still not at reach.Restricting ourselves to the A = 3, 4 nuclear systems, both bound and scattering states, we have at hand very few accurate ab-initio methods, i.e. the Faddeev (Faddeev-Yakubovsky for A = 4) equations (FE) technique, solved in coordinate-or in momentum-space, the method based on the Alt-Grassberger-Sandhas (AGS) equations solved in momentum space, and the Hyperspherical Harmonics (HH) method presented here. We refer the reader to Refs. [11, 12] for the FE method in coordinate space, to Refs. [13,14] for the FE method in momentum space, to Refs. [15,16] for recent reviews on the AGS method. Clearly, each method has advantages and drawbacks. For instance, the FE method in momentum space can be applied to A = 3, 4 bound and scattering states in a wide energy range. However, the inclusion of the Coulomb interaction for charged particle scattering states is quite problematic. The FE method in coordinate space can handle the Coulomb interaction, but it has not yet been applied to scattering problems at very low-energy, and it has been applied only recently to study systems with larger A values [17]. It is though a method with in principle great possibilities of extension [12]. The AGS method, although working in momentum space, can handle the Coulomb interaction, and can be applied to a large variety of A = 3, 4 scattering states, in a wide energy range. However, the very low energy range, that of interest for nuclear astrophysics, i.e. below ∼ 100 keV, is still not accessible with the AGS method. The method has ...

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Section: Selected Resultsmentioning

confidence: 99%

Section: A a = 3 4 Bound Statesmentioning

confidence: 99%

The Hyperspherical Harmonics Method: A Tool for Testing and Improving Nuclear Interaction Models

et al. 2020

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“…In recent years local, configuration-space chiral interactions, well suited for use in QMC calculations of lightnuclei spectra and neutron-matter properties, have been derived by two groups [37,63,64,[66][67][68][69]. In this paper, we will base our calculations on high-quality local potentials derived from a χEFT that explicitly includesin addition to nucleons and virtual pions-virtual ∆'s as degrees of freedom [58,59,69,70]. The two-nucleon part (NN ) of such local interactions is written as the sum of an electromagnetic interaction component, v EM 12 , (as in Ref.…”

Section: Nuclear Interactionsmentioning

confidence: 99%

Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions

et al. 2020

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We report benchmark calculations of the energy per particle of pure neutron matter as a function of the baryon density using three independent many-body methods: Brueckner-Bethe-Goldstone, Fermi hypernetted chain/single-operator chain, and auxiliary-field diffusion Monte Carlo. Significant technical improvements are implemented in the latter two methods. The calculations are made for two distinct families of realistic coordinate-space nucleon-nucleon potentials fit to scattering data, including the standard Argonne v18 interaction and two of its simplified versions, and four of the new Norfolk ∆-full chiral effective field theory potentials. The results up to twice nuclear matter saturation density show some divergence among the methods, but improved agreement compared to earlier work. We find that the potentials fit to higher-energy nucleon-nucleon scattering data exhibit a much smaller spread of energies.

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“…Note that these observables have been calculated with hyperspherical-harmonics (HH) expansion methods [5] as described in Refs. [93,96].…”

Section: With Delta Isobarsmentioning

confidence: 99%

“…Left: Spectra of light nuclei up to12 C obtained with GFMC with chiral interactions obtained in the delta-full approach (red) compared to experimental data (green) and GFMC calculations with phenomenological interactions (blue). Figure taken from Ref [93]. under the Creative Commons CCBY license.…”

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confidence: 99%

Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory

Piarulli¹,

Tews

2020

Front. Phys.

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To obtain an understanding of the structure and reactions of nuclear systems from first principles has been a long-standing goal of nuclear physics. In this respect, few-and many-body systems provide a unique laboratory for studying nuclear interactions. During the past decades, the development of accurate representations of the nuclear force has undergone substantial progress. Particular emphasis has been devoted to chiral effective field theory (EFT), a low-energy effective representation of quantum chromodynamics (QCD). Within chiral EFT, many studies have been carried out dealing with the construction of both the nucleon-nucleon (NN ) and three-nucleon (3N ) interactions. The aim of the present article is to give a detailed overview of the chiral interaction models that are local in configuration space, and show recent results for nuclear systems obtained by employing these local chiral forces. Keywords: nuclear interactions, chiral effective field theory, local interactions, three-body forces, ab-initio calculations arXiv:2002.00032v1 [nucl-th] 31 Jan 2020 Piarulli et al. Local chiral interactionsIn fact, chiral symmetry is broken twofold. First, it is broken spontaneously, leading to the formation of Goldstone bosons, that can be identified with the pions. Second, chiral symmetry is also explicitly broken by the finite quark masses, which leads to the pion being pseudo-Goldstone bosons with finite but small mass. In contrast, isospin symmetry remains a good symmetry, because the ratio (m d − m u )/Λ QCD is very small, where m u 2.4 MeV and m d 4.8 MeV.These symmetries only allow certain operator structures for nuclear interactions. Galilean invariance, for instance, implies that nuclear interactions depend only on relative momenta between two nucleons, p = p i − p j , while symmetry under parity transformations implies that nuclear interactions cannot be Frontiers

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Light-Nuclei Spectra from Chiral Dynamics

Cited by 147 publications

References 69 publications

The Hyperspherical Harmonics Method: A Tool for Testing and Improving Nuclear Interaction Models

The Hyperspherical Harmonics Method: A Tool for Testing and Improving Nuclear Interaction Models

Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions

Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory

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