Structure of ^<10>_ΛBe and ^<10>_ΛB Hypernuclei Studied with the Four-Body Cluster Model(Nuclear Physics)

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The structure of the isodoublet hypernuclei, ^<10>_ΛB and ^<10>_ΛBe 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, and ααN subsystems. Furthermore, the two-body ΛN interaction is adjusted to reproduce the 0^+-1^+ splitting of ^4_ΛH. The Λ binding energies of ^<10>_ΛB and ^<10>_ΛBe are 8.76 MeV and 8.94 MeV, respectively. The energy splitting of the 1^--2^- levels in ^<10>_ΛB is 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 -0.1 MeV) in ^<10>_ΛBe (^<10>_ΛB). We discuss a possibility that an odd-state CSB interaction improves the fitting to the experimental data of A = 10 double Λ hypernuclei.
2012-07-25