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 production.
State Dependent Effective Interaction for the Hyperspherical Formalism
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abstract
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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Gaussian vs. Real Wavefunction of Nuclear Clusters and Hypernuclei
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 production.