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Study on $\Lambda nn$ Bound State and Resonance
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abstract
We perform the ab initio no-core shell model (NCSM) calculation to investigate the bound state problem of the three-body $\Lambda nn$ system in chiral next-to-next-to-leading-order NN and chiral leading-order YN interactions. The calculations show that no $\Lambda nn$ bound state exists, but predict a low-lying $\Lambda nn$ resonant state near the threshold with the energy of $E_r= 0.124$ MeV and the width of about $\Gamma=1.161$ MeV. In searching for $\Lambda nn$ resonances, we extend the NCSM calculation to the continuum state by employing the J-matrix formalism in the scattering theory with the hyperspherical oscillator basis.
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Cited by 1 Pith paper
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Productions of $^3_{\Lambda}$H, $^4_{\Lambda}$H and $^4_{\Lambda}$He in different coalescence channels in Au-Au collisions at $\sqrt{s_{NN}}=3$ GeV
The predicted yield ratio of 4ΛHe to 4ΛH is sharply different depending on whether the unconfirmed neutron-lambda bound states 2Λn and 3Λn exist, making this ratio a proposed experimental probe of their existence.
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