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Prog. Theor. Phys. Vol. 128 No. 1 (2012) pp. 105-124
Structure of 10ΛBe and 10ΛB Hypernuclei Studied with the Four-Body Cluster Model
Emiko Hiyama and
Yasuo Yamamoto
Nishina Center for Accelerator-Based Science,
Institute for Physical and Chemical Research (RIKEN), Wako 351-0198, Japan
(Received March 17, 2012; Revised April 29, 2012)
Abstract:
The structure of the isodoublet hypernuclei, 10ΛB
and 10ΛBe 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 4ΛH.
The Λ binding energies of 10ΛB
and 10ΛBe are 8.76 MeV and 8.94 MeV, respectively.
The energy splitting of the 1--2- levels in
10ΛB 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 10ΛBe (10ΛB).
We discuss a possibility that an odd-state CSB
interaction improves the fitting to the experimental data
of A = 10 double Λ hypernuclei.
Subject Index :
214
URL :
http://ptp.ipap.jp/link?PTP/128/105/
DOI : 10.1143/PTP.128.105
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