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No-core shell model in an effective-field-theory framework

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arxiv nucl-th/0609023 v1 pith:K6QN6QA4 submitted 2006-09-11 nucl-th

I. Stetcu , B. R. Barrett , U. van Kolck This is my paper · ORCID
classification nucl-th
keywords modelexperimentalncsmstatecalculationseffectiveenergyexcited
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We present a new approach to the construction of effective interactions suitable for many-body calculations by means of the no-core shell model (NCSM). We consider an effective field theory (EFT) with only nucleon fields directly in the NCSM model spaces. In leading order, we obtain the strengths of the three contact terms from the condition that in each model space the experimental ground-state energies of 2H, 3H and 4He be exactly reproduced. The first (0^+;0) excited state of 4He and the ground state of 6Li are then obtained by means of NCSM calculations in several spaces and frequencies. After we remove the harmonic-oscillator frequency dependence, we predict for 4He an energy level for the first (0^+;0) excited state in remarkable agreement with the experimental value. The corresponding 6Li binding energy is about 70% of the experimental value, consistent with the expansion parameter of the EFT.

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Cited by 2 Pith papers

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  1. Hypernuclei with Neural Network Quantum States

    nucl-th 2025-07 conditional novelty 6.0 of 10

    Neural network quantum states, extended to include Lambda hyperons, reproduce hypernuclear separation energies to within roughly 9% and predict the observed proton-radius shrinkage in 7ΛLi.

  2. Coulomb Corrections to Three-Nucleon Moments

    nucl-th 2026-05 unverdicted novelty 4.0 of 10

    Pionless EFT calculations find unexpectedly small O(alpha) Coulomb corrections to three-nucleon magnetic moments and GT matrix elements, yielding a fitted prediction for the proton-proton fusion reduced matrix element...

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