Properties of the nonlocal<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>NN</mml:mi></mml:math>interactions required for the correct triton binding energy

Doleschall, P.; Borbély, I.

doi:10.1103/physrevc.62.054004

Cited by 39 publications

(42 citation statements)

References 22 publications

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“…However, our results as well as the success of the approach of Ref. [17], clearly demonstrate that such a mechanism exists and should be studied in detail. We plan to study this with explicit N N N interactions.…”

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confidence: 91%

“…For these nuclei, an extrapolation based on the fit by a constant plus exponential function for different ω values may be useful. For 6 Li, this extrapolation results in a binding energy of 31.70 (17) MeV where the value in parenthesis is the uncertainty of the fit. A similar extrapolation for 6 He results in a binding energy of 28.89 (17) MeV which is bound with respect to the α + n + n threshold.…”

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confidence: 99%

“…For 6 Li, this extrapolation results in a binding energy of 31.70 (17) MeV where the value in parenthesis is the uncertainty of the fit. A similar extrapolation for 6 He results in a binding energy of 28.89 (17) MeV which is bound with respect to the α + n + n threshold. We note that the bare interaction results for A = 6 nuclei are very close to the effective interaction ones demonstrating a remarkable softness of the JISP16 interaction: the 6 Li and 6 He binding energies are 30.94(44) and 28.23(41) MeV respectively, the extrapolations of the bare interaction bindings produce 31.33(12) MeV for 6 Li and 28.61(12) MeV for 6 He.…”

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confidence: 99%

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Realistic nuclear Hamiltonian: Ab exitu approach

et al. 2007

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Fully-microscopic No-core Shell Model (NCSM) calculations of all stable s and p shell nuclei are used to determine a realistic N N interaction, JISP16, describing not only the two-nucleon data but the binding energies and spectra of nuclei with A ≤ 16 as well. The JISP16 interaction, providing rapid convergence of the NCSM calculations, is obtained in an ab exitu approach by phase-equivalent transformations of the JISP6 N N interaction. To complement the successful but computationally intensive 'ab initio' No-core Shell Model (NCSM) [1], we introduce the 'ab exitu' NCSM. While the former has proven very successful for light nuclei when one includes three-body (N N N ) forces [2,3], the computational complexity motivates us to introduce an approach that simultaneously minimizes N N N forces while providing more rapid convergence with a pure nucleon-nucleon (N N ) force. We invoke directly an end-goal of nuclear theory (hence the term 'ab exitu'), a successful description of nuclear properties, including the available N N data, to develop a new class of N N potentials that provide accurate descriptions of a broad range of nuclear data. PACSTo achieve this, we form a union of two recent techniques -the J-matrix inverse scattering [4,5,6] and the NCSM [1]. A major ingredient of our approach is the form of the N N interaction (a small matrix in the oscillator basis), which is chosen to provide rapid convergence of manybody observables within the NCSM. Indeed, we show below that results up through A = 16 obtained directly with the bare interaction (one that accurately describes the N N data) are close to those obtained with the effective interaction and are very useful to establish the confidence region for the binding energy.Since this is a departure from the more traditional approach, we motivate our development with observations concerning the successful ab initio approaches to light nuclei. Indeed several promising microscopic approaches have been introduced and tested extensively with realistic N N interactions (see [7] and references therein) and with realistic N N + N N N interactions [8,2,3]. Progress towards heavier nuclei appears limited only by scientific manpower and by available computers. However, all approaches face the exponentially rising computational complexity inherent in the quantum many-body problem with increasing particle number and novel schemes are needed to minimize the computational burden without sacrificing realism and precision.The earliest and most successful in reaching nuclei beyond A = 4 is the Green's-function Monte Carlo (GFMC) approach [8] whose power has been used to determine a sequence of everimproving N N N interactions [8,9,10], in conjunction with highly precise N N interactions [11] that 1

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Realistic nuclear Hamiltonian: Ab exitu approach

et al. 2007

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“…The authors of Refs. [19,20] added phenomenological non-local terms to a cut-off Yukawa tail of the realistic N N potentials. The obtained interaction reproduces the 3 H binding energy.…”

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confidence: 99%

Nucleon-nucleon interaction in theJ-matrix inverse scattering approach and few-nucleon systems

Shirokov

Mazur²,

Zaytsev³

et al. 2004

Phys. Rev. C

143

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The nucleon-nucleon interaction is constructed by means of the J-matrix version of inverse scattering theory. Ambiguities of the interaction are eliminated by postulating tridiagonal and quasi-tridiagonal forms of the potential matrix in the oscillator basis in uncoupled and coupled waves, respectively. The obtained interaction is very accurate in reproducing the N N scattering data and deuteron properties. The interaction is used in the no-core shell model calculations of 3 H and 4 He nuclei. The resulting binding energies of 3 H and 4 He are very close to experimental values.

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“…Over the past few years several studies have appeared in the literature which stress the potential importance of non-local effects for the quantitative understanding of few-body observables and, specifically, for the triton binding energy [121,[240][241][242][243][244][245]. However, the majority of these investigations [240][241][242][243][244] explore only non-localities arising from the baryonic meson-exchange picture of the Table 18. Triton binding energy, E B (E Exp = −8.49 MeV), and wave function components: P S is the L = 0 symmetric spatial probability, P S ′ the L = 0 mixed symmetric spatial probability, P P the L = 1 probability and P D the L = 2 probability.…”

Section: The Triton Binding Energymentioning

confidence: 99%

Quark-model study of few-baryon systems

et al. 2005

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Abstract. We review the application of non-relativistic constituent quark models to study one, two and three non-strange baryon systems. We present results for the baryon spectra, potentials and observables of the NN, N∆, ∆∆ and NN * (1440) systems, and also for the binding energies of three non-strange baryon systems. We make emphasis on observable effects related to quark antisymmetry and its interplay with quark dynamics.

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Properties of the nonlocalNNinteractions required for the correct triton binding energy

Cited by 39 publications

References 22 publications

Realistic nuclear Hamiltonian: Ab exitu approach

Realistic nuclear Hamiltonian: Ab exitu approach

Nucleon-nucleon interaction in theJ-matrix inverse scattering approach and few-nucleon systems

Quark-model study of few-baryon systems

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