Abstract
Abstract We present binding energies and properties of wave functions for the light hypernuclei H Λ 3 , H Λ 4 , and He Λ 4 based on realistic hyperon–nucleon and nucleon–nucleon interactions including Λ – Σ conversion. For the solution, the non-relativistic Schrodinger equation is rewritten into Faddeev or Yakubovsky equations which are solved in momentum space. The accuracy of the numerical calculations is discussed. Based on first leading and next-to-leading order chiral interactions, we discuss the possibility to constrain the hyperon–nucleon interactions by hypernuclear binding energies. Finally, we predict the charge-symmetry breaking of the Λ separation energies of H Λ 4 / He Λ 4 .
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