Glue-Like Role of   Particle in Hypernuclei: --Revisited to Be Put on a Firmer Basis--

Multi-cluster dynamics inCΛ13and analogy to clustering in 12 C

“…69 MeV, relative to the 12 C + Λ threshold. Therefore in 13 Λ C, the 8 Be + 5 Λ He and α + 9 Λ Be thresholds, as well as the 12 C + Λ threshold, newly show up below the 3α + Λ threshold (see Fig. 1).…”

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We investigate structure of 13 Λ C and discuss the difference and similarity between the structures of 12 C and 13 Λ C by answering the questions if the linear-chain and gaslike cluster states, which are proposed to appear in 12 C, survives, or new structure states appear or not. We introduce a microscopic cluster model called, Hyper-Tohsaki-Horiuchi-Schuck-Röpke (H-THSR) wave function, which is an extended version of the THSR wave function so as to describe Λ hypernuclei.

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“…The famous Hoyle state [6,7,8] exists at 0.38 MeV above the threshold and is known to have well developed 3α cluster structure. However, the situation amazingly changes if a Λ particle joins in 12 C, namely being 13 Λ C. There appear new cluster species with the Λ particle, i.e. 5 Λ He and 9 Λ Be, which are bound by 3.12 MeV and 6.71 MeV below the α + Λ and 2α + Λ thresholds, respectively.…”

“…5 Λ He and 9 Λ Be, which are bound by 3.12 MeV and 6.71 MeV below the α + Λ and 2α + Λ thresholds, respectively. The ground state of 13 Λ C is further bound by 11. 69 MeV, relative to the 12 C + Λ threshold.…”

“…1). This situation implies that in 13 Λ C, according to the threshold rule, various cluster structures, which are not limited to the 3α + Λ clustering, play an important role in the formation of its excited states.…”