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Pramana

, Volume 1, Issue 6, pp 274–287 | Cite as

Double hypernuclei and the ΛΛ interaction

  • G Bhamathi
  • K Prema
  • Indumathi Seshadri
Nuclear And Particle Physics

Abstract

The double hypernuclei\( \wedge \wedge He^6 \) and\( \wedge \wedge Be^{10} \) have been analysed using purely attractive nonlocal separable potential. These double hypernuclei have been considered as three body (Λ+Λ+α) and four body (Λ+Λ+α+α) systems respectively. A consistent description of both the systems has been obtained for an intrinsic rangeb=1.5 fm of the ΛΛ interaction in the1S0 state. For the purely attractive Yukawa potential this corresponds to the two pion exchange range. The strength of the ΛΛ interaction deduced from the double hypernuclei was found insufficient to bind the two body ΛΛ system. The lightest double hypernucleus that is expected to be bound is\( \wedge \wedge He^5 \). The heavier double hypernuclei\( \wedge \wedge C^{14} \) and\( \wedge \wedge O^{18} \) have also been analysed. The binding energies obtained are in reasonable agreement with those of earlier workers.

Keywords

Double hypernuclei ΛΛ interaction separable potential model \( \wedge \wedge He^6 \) \( \wedge \wedge Be^{10} \) \( \wedge \wedge H^5 \) \( \wedge \wedge He^5 \) \( \wedge \wedge C^{14} \) \( \wedge \wedge O^{18} \) 

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References

  1. Ali S 1967Nuovo Cimento 50B 373Google Scholar
  2. Ali S 1968Phys. Rev. 171 204CrossRefGoogle Scholar
  3. Ali S 1969, inProc. Int. Conf. Hypernuclear Physics ed Bodmer A R and Hyman L G (Argonne National Laboratory, Illinois, USA) p 619Google Scholar
  4. Bhamathi G and Indumathi S 1964 Nucl. Phys.54 161CrossRefGoogle Scholar
  5. Bhamathi G and Prema K 1971 unpublished (see Ph. D thesis Prema KSome studies on hyperon interactions and hypernuclei, University of Madras)Google Scholar
  6. Bodmer A R 1967 inHigh energy nuclear physics and nuclear structure, ed Alexander G (North Holland Publishing Co., Amsterdam) p 60Google Scholar
  7. Bodmer A R and Ali S 1965Phys. Rev. 138B 644CrossRefADSGoogle Scholar
  8. Bodmer A R and Ali S, 1967Nuovo Cimento 50A 417Google Scholar
  9. Dabrowski J Dworzecka M and Trych E 1967Internal Report of the Institute of Nuclear Research, Poland Google Scholar
  10. Dalitz R H 1963Phys. Lett. 5 53CrossRefGoogle Scholar
  11. Dalitz R H and Rajasekharan G 1964Nuovo Cimento 50 450Google Scholar
  12. Danysz Met al 1963Nucl. Phys. 49 121CrossRefGoogle Scholar
  13. Deloff A 1963Phys. Lett. 6 83CrossRefADSGoogle Scholar
  14. Monga S K and Mitra A N 1966Nuovo Cimento 42A 1004Google Scholar
  15. Nakamura H 1963a Phys. Lett.6, 207; 1963bProg. Theor. Phys. 30 84CrossRefADSGoogle Scholar
  16. Prowse D J 1966Phys. Rev. Lett. 17 782CrossRefADSGoogle Scholar
  17. Tang Y Cet al 1964Phys. Lett. 10 358CrossRefADSGoogle Scholar
  18. Tang Y C and Herndon R C 1965aPhys. Rev. B138 637CrossRefADSGoogle Scholar
  19. Tang Y C and Herndon R C 1965bPhys. Rev. Lett. 14 991CrossRefADSGoogle Scholar
  20. Tang Y C and Herndon R C 1966Nuovo Cimento 46B 117Google Scholar
  21. Yamaguchi Y 1954Phys. Rev. 95 1628CrossRefADSGoogle Scholar

Copyright information

© the Indian Academy of Sciences 1973

Authors and Affiliations

  • G Bhamathi
    • 1
  • K Prema
    • 1
  • Indumathi Seshadri
    • 2
  1. 1.Department of Theoretical PhysicsUniversity of MadrasMadras
  2. 2.Department of PhysicsIndian Institute of TechnologyKanpur

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