Probing ΛΛ potential

C. J. Yoon, H. Akikawa, K. Aoki, Y. Fukao, H. Funahashi, M. Hayata, K. Imai, K. Miwa, H. Okada, N. Saito, H. D. Sato, K. Shoji, H. Takahashi, K. Taketani, J. Asai, M. Kurosawa, M. Ieiri, T. Hayakawa, T. Kishimoto, A. SatoY. Shimizu, K. Yamamoto, T. Yoshida, T. Hibi, K. Nakazawa, Jung Keun Ahn, B. H. Choi, S. J. Kim, S. H. Kim, B. D. Park, I. G. Park, J. S. Song, C. S. Yoon, K. Tanida, A. Ohnishi

Research output: Contribution to journalArticle

Abstract

We determined scattering length and effective range of ΛΛ scattering for the ΛΛ relative energy (MΛΛ-2MΛ) from ΛΛ threshold to 30 MeV/c2. Phase shift of the ΛΛ wave function which described by scattering length and effective range was determined by fitting the ΛΛ mass spectrum. The obtained scattering length -0.10+1.37 -1.56± 0.04, and effective range 13.90+0.37 -9.13± 10.53, fm is the most consistent with the values predicted by using a series of the Nijmegen soft core models NSC97's. However the predicted values by using the Nijmegen hard core model ND (G-matrix), the extended soft core model ESC00, and the Kyoto-Niigata FSS are out of three standard deviations from the determined scattering parameters. Further, we determine ΛΛ potential by fitting the ΛΛ invariant mass spectrum using numerically solved ΛΛ wave function with two-Gaussian shaped potential well. The ΛΛ scattering parameters derived from the wave function are found to be scattering length -0.09, and effective range 29.34 fm with a maximum hase shift of 2.4 deg.

Original languageEnglish
Pages (from-to)1003-1006
Number of pages4
JournalJournal of the Korean Physical Society
Volume59
Issue number23
DOIs
Publication statusPublished - 2011 Aug 1
Externally publishedYes

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Keywords

  • ΛΛ
  • Effective range
  • Interaction
  • Scattering length

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Yoon, C. J., Akikawa, H., Aoki, K., Fukao, Y., Funahashi, H., Hayata, M., Imai, K., Miwa, K., Okada, H., Saito, N., Sato, H. D., Shoji, K., Takahashi, H., Taketani, K., Asai, J., Kurosawa, M., Ieiri, M., Hayakawa, T., Kishimoto, T., ... Ohnishi, A. (2011). Probing ΛΛ potential. Journal of the Korean Physical Society, 59(23), 1003-1006. https://doi.org/10.3938/jkps.59.1003