ΛΛ4H in halo effective field theory

Shung-Ichi Ando, Ghil-Seok Yang, and Yongseok Oh
Phys. Rev. C 89, 014318 – Published 23 January 2014

Abstract

The ΛΛ4H bound state and the S-wave hypertriton(Λ3H)-Λ scattering in spin singlet and triplet channels below the hypertriton breakup momentum scale are studied in halo/cluster effective field theory at leading order by treating the ΛΛ4H system as a three-cluster (Λ-Λ-deuteron) system. In the spin singlet channel, the amplitude is insensitive to the cutoff parameter Λc introduced in the integral equation, and we find that there is no bound state. In this case, the scattering length of the hypertriton-Λ scattering is found to be a0=16.0±3.0 fm. In the spin triplet channel, however, the amplitude obtained by the coupled integral equations is sensitive to Λc, and we introduce the three-body contact interaction g1(Λc). After phenomenologically fixing g1(Λc), we find that the correlation between the two-Λ separation energy BΛΛ from the ΛΛ4H bound state and the scattering length aΛΛ of the S-wave Λ-Λ scattering is significantly sensitive to the value of Λc.

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  • Received 9 October 2013

DOI:https://doi.org/10.1103/PhysRevC.89.014318

©2014 American Physical Society

Authors & Affiliations

Shung-Ichi Ando1,*, Ghil-Seok Yang2, and Yongseok Oh2,3,†

  • 1Department of Physics Education, Daegu University, Gyeongsan, Gyeongbuk 712-714, Korea
  • 2Department of Physics, Kyungpook National University, Daegu 702-701, Korea
  • 3Asia Pacific Center for Theoretical Physics, Pohang, Gyeongbuk 790-784, Korea

  • *sando@daegu.ac.kr
  • yohphy@knu.ac.kr

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Vol. 89, Iss. 1 — January 2014

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