Abstract
We use a diagrammatic method to derive the Faddeev equations of the coupled NΛΛ-ΞNN system and apply them to the bound-state problem of the channel. We use as input the nucleon-nucleon, nucleon-hyperon and hyperon-hyperon interactions obtained from a chiral constituent quark model. We explore different parametrizations of the quark-quark interacting potential. While the system alone is unbound, the full coupled channel problem NΛΛ-ΞNN may present a three-baryon bound state just below threshold. Different from double- hypernuclei with four nucleons or more, where the Pauli principle acts strongly because there is no room for more that four nucleons in S wave, in H the full interaction can act in S wave.
Original language | English |
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Article number | 095103 |
Journal | Journal of Physics G: Nuclear and Particle Physics |
Volume | 41 |
Issue number | 9 |
DOIs | |
State | Published - 1 Sep 2014 |
Keywords
- Faddeev equations
- few body systems
- non relativistic quark model