Special Issue on Effective Field Theory in Nuclear Physics; Guest Editors: M. Pavón Valderrama and U. van KolckNo Access

Hypernuclei in halo/cluster effective field theory

Shung-Ichi Ando

Shung-Ichi Ando

Department of Information Communication and Display Engineering, Sunmoon University, Asan, Chungnam 31460, Republic of Korea

E-mail Address: sando@sunmoon.ac.kr

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https://doi.org/10.1142/S0218301316410056Cited by:7 (Source: Crossref)

Abstract

The light double $Λ$ $Λ$ hypernuclei, $_{Λ Λ}^{4} H$ $_{Λ Λ}^{4} H$ and $_{Λ Λ}^{6} He$ $_{Λ Λ}^{6} He$ , are studied as three-body $Λ Λ d$ $Λ Λ d$ and $Λ Λ α$ $Λ Λ α$ cluster systems in halo/cluster effective field theory at leading order. We find that the $Λ Λ d$ $Λ Λ d$ system in spin-0 channel does not exhibit a limit cycle whereas the $Λ Λ d$ $Λ Λ d$ system in spin-1 channel and the $Λ Λ α$ $Λ Λ α$ system in spin-0 channel do. The limit cycle is associated with the formation of bound states, known as Efimov states, in the unitary limit. For the $Λ Λ d$ $Λ Λ d$ system in the spin-0 channel we estimate the scattering length $a_{0}$ $a_{0}$ for $S$ $S$ -wave $Λ$ $Λ$ hyperon–hypertriton scattering as $a_{0} = 16.0 \pm 3.0$ $a_{0} = 16.0 \pm 3.0$ fm. We also discuss that studying the cutoff dependences in the $Λ Λ d$ $Λ Λ d$ and $Λ Λ α$ $Λ Λ α$ systems, the bound state of $_{Λ Λ}^{4} H$ $_{Λ Λ}^{4} H$ is not an Efimov state but formed due to a high energy mechanism whereas that of $_{Λ Λ}^{6} He$ $_{Λ Λ}^{6} He$ may be regarded as an Efimov state.

Keywords:

PACS: 21.45.-v, 20.80.+a, 11.10.Hi

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