Structure of 10ΛBe and 10ΛB Hypernuclei Studied with the Four-Body Cluster Model

Abstract

The structure of the isodoublet hypernuclei, 10 Ba nd 10 Be within the framework of an α + α + Λ + N four-body cluster model is studied. Interactions between the constituent subunits are determined to reproduce reasonably well the observed low-energy properties of the αα, αN , αΛ, ααΛ ,a ndααN subsystems. Furthermore, the two-body ΛN interaction is adjusted to reproduce the 0 + -1 + splitting of 4H. The Λ binding energies of 10 Ba nd 10 Be are 8.76 MeV and 8.94 MeV, respectively. The energy splitting of the 1 − -2 − levels in 10 Bi s 0.08 MeV, which does not contradict the experimental report in BNL-E930. An even-state ΛN charge symmetry breaking (CSB) interaction determined from the A = 4 systems works repulsively by +0.1 MeV (attractively by �0. 1M eV) in 10 Be ( 10 B). We discuss a possibility that an odd-state CSB interaction improves the fitting to the experimental data of A =1 0 double Λ hypernuclei. Subject Index: 214