Structure of neutron-rich He <math><mi mathvariant="normal">Λ</mi></math> hypernuclei using the cluster orbital shell model - INSPIRE

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Structure of neutron-rich He $Λ$ hypernuclei using the cluster orbital shell model

Takayuki Myo
(
- Osaka Inst. Tech. and
- Osaka U., Res. Ctr. Nucl. Phys.
)
,
Emiko Hiyama
(
- Tohoku U. and
- Nishina Ctr., RIKEN
)

Apr 15, 2023

6 pages

Published in:

Phys.Rev.C 107 (2023) 5, 054302

Published: May 3, 2023

e-Print:

2304.07662 [nucl-th]

DOI:

10.1103/PhysRevC.107.054302 (publication)

View in:

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Abstract: (APS)

We calculated the energy spectra of the neutron-rich He

Λ

hypernuclei with

A

= 6 to 9 within the framework of an

α + Λ + X n

(

X

= 1–4) cluster model using the cluster orbital shell model. The employed constituent particles reproduce their observed properties. For resonant states of core nuclei such as

{}^{5}{He}

,

{}^{6}{He}

, and

{}^{7}{He}

, the complex scaling method is employed to obtain energies and decay widths. The calculated ground states of

{}_{Λ}^{6}{He}

and

{}_{Λ}^{7}{He}

are in good agreement with published data. The energy levels of

{}_{Λ}^{8}{He}

and

{}_{Λ}^{9}{He}

are predicted. In

{}_{Λ}^{9}{He}

, we find one deeply bound state and two excited resonant states, which are proposed to be produced at the Japan proton accelerator research complex (J-PARC) by the double-charge-exchange reaction

(π^{-}, K^{+})

using a

{}^{9}{Be}

target.

Note:

6 pages, 4 figures, typos corrected

scaling: complex
energy spectrum: calculated
model: cluster
decay: width
shell model
hypernucleus
ground state
energy levels
J-PARC Lab
nucleus

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Figures(4)

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