Investigation of the lightest double- Lambda hypernuclei structure by using Gaussian bases expansion method

Document Type : Full length research Paper

Authors

1 Department of Physics, Faculty of Basis Sciences, Shahrekord University, Shahrekord 

2 Department of Physics, Faculty of Basic Sciences, Shahrekord University, Shahrekord 115

Abstract

In the present work, to improve the knowledge of and interactions better, the existence possibility of a bound state for the double-hyperonic three-body system ( Lambda - Lambda - proton, Lambda - Lambda - neutron ) has investigated in the computational point of view. To study the structure of these three-body systems, Nijmegen group ND, NF, NS, ESC models and Julich group JA, JB interactions, that coupling effect are explicitly considered for potential, and a pseudo-OBE model for interaction, have been used. Minimum energy value of system for the seven interaction models are obtained in range of  to MeV and therefore no any bound state is found for these system.

Keywords

References

[1] B. Bhowmick, A. Bhattacharyya, G. Gangopadhyay, Strange baryons, nuclear dripline and shrinkage: A Relativistic Mean Field study, International Journal of Modern Physics E 22 3 (2013) 1350012.
[2] E. Hiyama, M. Kamimura, K. Miyazaki, T. Motoba, γ transitions in A=7 hypernuclei and a possible derivation of hypernuclear size, Physical Review C 59 (1999) 2351.
[3] K. Miagava, H. Kamada, W. Glokle, V. Stoks, Properties of the bound  system and hyperon-nucleon interaction, Physical Review C 51 (1995) 2905.
[4] C. Rappold et al., Search for evidence of  by observing  and final states in the reaction of  at 2A GeV, Physical Review C 88 (2013) 041001(R).
[5] E. Hiyama, S. Ohnishi, B.F. Gibson, Th.A. Rijken, Three-body structure of the  system with coupling, Physical Review C 89 (2014)   061302(R).
[6] H. Takahashi et al, Observation of a Double Hypernucleuse, Physical Review Letters 87 (2002) 212502.
[7] k. Nakazawa, H. Takahashi, Experimental Study of Double-L Hypernuclei with Nuclear Emulsion, Progress of Theoretical Physics Supplement 185  (2010) 335.
[8] A. Ohnishi, Y. Hirata, Y. Nara, Sh. Shinmura, Y. Akaishi, Can we extract lambda-lambda interaction from two particle momentum correlation?, Nuclear Physics A  670 (2000) 297c.
[9] M.M. Nagels, Th.A. Rijken, J.J. de swart, Baryon-baryon scattering in a one-boson-exchange-potential approach. II. Hyperon-nucleon scattering, Physical Review D 15   (1977)  2547.
[10] P.M.M. Maessen, Th.A. Rijken, J.J. de swart, Extended-soft-core baryon-baryon model. II. Hyperon-Nucleon interaction, Physical Review C 40 (1989)  2226.
[11] B. Holzenkamp, K. Holinde, J. Speth, A meson exchange model for the hyperon-nucleon interaction, Nuclear Physics A500 (1989)  485.
[12] A. Reuber, K. Holdine, J. speth, The Julich hyperon-nucleon interaction models, Czechoslovak Journal of Physics 42 (1992) 1115.
[13] J. Rozynek, J. Dabrowski, Binding energy of a  particle in nuclear matter with Nijmegen baryon-baryon interaction, Physical Review C   20 (1979)  1612 (R).
[14] Y. Yamamoto, T. Motoba, H. Himeno, K. Ikeda, and S. Nagata, Hyperon-Nucleon and Hyperon-Hyperon Interactions in nuclei, Progress of Theoretical Physics117  (1994) 361.
[15] E. Hiyama, M. Kamimura, T. Motoba, T. Yamada, Y. Yamamoto, Three-and Four-Body cluster Models of Hypernuclei Using the G-Matrix  Interaction, Progress of Theoretical Physics97 (1997) 881.
[16] D.J. Prowse,  Double Hyperfragment, Physical Review Letters 17 (1966) 782.
[17] M. Danysz et al., The identification of a double hypperfragment, Nuclear Physics 49 (1963) 121.
[18] E. Hiyama, Y. Kino, M. Kamimura, Gaussian Expansion Method for Few-Body, Progress in Particle and Nuclear Physics 51 (2003) 223.
[19] E. Hiyama, Gaussian expansion method for few-body systems and its applications to atomic and nuclear physics, Progress of Theoretical and Experimental Physics (2012) 01A6.
[20] Y. Akaishi and et al., Kaonic nuclear systems  and  as decaying states, Proceedings of the Japan Academy, Series B 84 (2008) 264.
[21] Y. Ikeda, T. Sato, Resonance energy of the  system, Physical Review C 79 (2009) 035201.
[22] J. Esmaili et al., Investigation of  interaction effects on system using Faddeev method, Iranian Journal of PhysicsResearch 12 2  (2012) 137.
Journal of Research on Many-body Systems
Volume 8, Issue 18
October 2018
Pages 1-9

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History

  • Receive Date: 03 February 2018
  • Revise Date: 12 March 2018
  • Accept Date: 22 May 2018

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