Abstract
The present work is conducted in the field of few-body methods and it concerns the extension of the Non-Symmetrized Hyperspherical Harmonics method in order to treat quantum systems with different species of particles and additional degrees of freedom, like particle mixing. The aim is to introduce it as a new tool in the ab-initio study of light hypernuclei, and, more in general, of few-body quantum systems composed by a variety of different objects. To this end precise benchmark results for light hypernuclei with A=3-5 are provided and the perspectives of applications to systems with A>5 and the employment of the most recent hypernuclear interactions are discussed.
Highlights
Despite the recent development of hypernuclear physics both in theory and experiment, the actual knowledge of the hyperon-nucleon (YN) interaction is limited and the amount of data available to define a realistic YN potential is far from being comparable to the NN case: the standard set employed in the modern hyperon-nucleon interactions comprises 35 selected Λp low energy scattering data [2] and a few YN data at higher energies, against the over 4000 NN data in the range 0÷350 MeV
Quite a variety of potential models involving hyperons exist, ranging from purely phenomenological ones [3] to models based on chiral effective field theory [4]. It is evident the necessity of testing the quality of these interactions by comparing experimental and theoretical results, like Λ separation energies of hypernuclei. For such a check ab initio calculations are fundamental, because their results only depend on the chosen interaction, leading to a clearcut conclusion about the validity of the chosen model
The non-symmetrized hyperspherical harmonics method (NSHH) method is based on the formalism developed by M
Summary
Despite the recent development of hypernuclear physics both in theory and experiment, the actual knowledge of the hyperon-nucleon (YN) interaction is limited and the amount of data available to define a realistic YN potential is far from being comparable to the NN case: the standard set employed in the modern hyperon-nucleon interactions comprises 35 selected Λp low energy scattering data [2] and a few YN data at higher energies, against the over 4000 NN data in the range 0÷350 MeV. Quite a variety of potential models involving hyperons exist, ranging from purely phenomenological ones [3] to models based on chiral effective field theory [4]. It is evident the necessity of testing the quality of these interactions by comparing experimental and theoretical results, like Λ separation energies of hypernuclei.
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