Container structure of alpha-alpha-Lambda clusters in 9-Lambda-Beryrium
Abstract
A new concept of clustering is discussed in Λ hypernuclei using a new-type microscopic cluster model wave function, which has a structure in which constituent clusters are confined in a container, whose size is a variational parameter and which we refer to as a hyper-Tohsaki-Horiuchi-Schuck-Röpke (hyper-THSR) wave function. By using the hyper-THSR wave function, the 2α + Λ-cluster structure in {{^9_Λ}{Be}} is investigated. We show that full microscopic solutions in the 2α + Λ-cluster system, which are given as 2α + Λ Brink-GCM (generator coordinate method) wave functions, are almost perfectly reproduced by the single configurations of the hyper-THSR wave function. The squared overlaps between both wave functions are calculated to be 99.5%, 99.4%, and 97.7% for J^π =0^+ , 2^+ , and 4^+ states, respectively. We also simulate the structural change by adding the Λ particle, by varying the Λ N interaction artificially. With the increase of the Λ N interaction, the Λ particle gets to move more deeply inside the core and strongly invokes the spatial core shrinkage. Accordingly, distinct localized 2α clusters appear in the nucleonic intrinsic density, though, in the {^8Be} nucleus, a gaslike 2α-cluster structure is shown. The origin of the localization is associated with the strong effect of the Pauli principle. We conclude that the container picture of the 2α and Λ clusters is essential in understanding the cluster structure in {^9_ΛBe}, in which the very compact spatial localization of clusters is shown in the density distribution.
- Publication:
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Progress of Theoretical and Experimental Physics
- Pub Date:
- November 2014
- DOI:
- arXiv:
- arXiv:1405.6067
- Bibcode:
- 2014PTEP.2014k3D01F
- Keywords:
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- D10;
- D11;
- D14;
- Nuclear Theory
- E-Print:
- 14 pages, 4 figures, 3 tables, submitted to PTEP