Cluster models of Lambda-Lambda-6He and Lambda-9Be hypernuclei

Abstract

Configuration space Faddeev calculations are performed for the binding energy of Lambda-Lambda-6He and Lambda-9Be bound states, here considered as alpha-Lambda-Lambda and alpha-alpha-Lambda clusters respectively, in order to study the dependence of the calculated binding energy on the alpha-Lambda potential input. For Lambda-Lambda-6He, using realistic interactions, the uncertainty in extracting the Lambda-Lambda S=L=0 interaction strength does not exceed 0.1 MeV, which is a fraction of the order of magnitude derived for other theoretical uncertainties. For Lambda-9Be, the dependence of the calculated binding energy on the alpha-Lambda potential is considerably larger, of order 1 MeV. Our results for Lambda-9Be suggest that the odd-state alpha-Lambda interaction is substantially reduced with respect to the even-state component.

16 pages, including 4 figures, typos corrected, slightly revised, accepted to Nuclear Physics A

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Cited by in corpus (11)

• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
• Strangeness S=-2 baryon-baryon interaction at next-to-leading order in chiral effective field theory
• Double-$\Lambda$ hypernuclei in the relativistic mean-field theory
• Strangeness $S=-2$ baryon-baryon interactions in relativistic chiral effective field theory
• Scattering lengths of strangeness S=-2 baryon-baryon interactions
• On mass polarization effect in three-body systems
• Bound states of ${}_{\varphi }^9$Be and ${}_{\varphi \varphi }^6$He nuclei with $\varphi$+$\alpha$+$\alpha$ and $\varphi$+$\varphi$+$\alpha$ cluster models
• Study of light $\varphi$-mesic nuclei with HAL QCD $\varphi N$ interactions
• Low-lying resonances of Be9Lambda : Faddeev calculation with Pade-approximants
• Coupled-channel calculation of bound and resonant spectra of Lambda-9Be and Lambda-13C hypernuclei
• Bound States of $\Omega$ Baryons in Light Nuclei