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State Dependent Effective Interaction for the Hyperspherical Formalism

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arxiv nucl-th/9910062 v1 pith:FZSS5KKS submitted 1999-10-25 nucl-th

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keywords effectivehypersphericalstatedependentformalismharmonicinteractionmethod
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The method of effective interaction, traditionally used in the framework of an harmonic oscillator basis, is applied to the hyperspherical formalism of few-body nuclei (A=3-6). The separation of the hyperradial part leads to a state dependent effective potential. Undesirable features of the harmonic oscillator approach associated with the introduction of a spurious confining potential are avoided. It is shown that with the present method one obtains an enormous improvement of the convergence of the hyperspherical harmonics series in calculating ground state properties, excitation energies and transitions to continuum states.

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Cited by 3 Pith papers

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    A new variational Monte Carlo framework using neural-network wave functions and the Lorentz integral transform accurately reproduces deuteron and helium-4 photon absorption cross sections.

  2. Wigner Phase-Space Densities of Nuclear Clusters and Hypernuclei

    nucl-th 2025-08 reject novelty 4.0 of 10

    The authors calculate Wigner phase-space densities for clusters from deuteron to double-Lambda hyperhelium using hyperspherical-harmonic solutions of the Schrödinger equation.

  3. Gaussian vs. Real Wavefunction of Nuclear Clusters and Hypernuclei

    nucl-th 2026-06 unverdicted novelty 3.0 of 10

    Realistic nuclear cluster wave functions show broader spatial distributions and non-Gaussian structures than Gaussian ansätze with matching rms radius, suggesting a mechanism to address underestimation of A=4 cluster ...

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