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Shape change in Hf, W and Os-isotopes: A non-relativistic Hartree-Fock versus relativistic Hartree approximation

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Abstract

We have investigated the ground-state structures of even-even Hf, W and Os isotopes within the framework of a deformed non-relativistic Hartree-Fock and a relativistic mean field formalism. A majority of the nuclei are predicted to be prolate in shape in the relativistic calculations. On the other hand, contrary to the relativistic results, we predict a shape change in a cyclic order in the non-relativistic calculations. However, in both the cases, the magnitude of the quadrupole deformation parameter agrees well with the experimental data. We also evaluated the hexadecapole deformation parameter for Hf, W and Os isotopes and irrespective of the shape change in quadrupole moments, we find a cyclic change in hexadecapole shape from positive to negative and vice versa in both the relativistic and non-relativistic formalisms.

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References

  1. S K Patra and P K Panda,Phys. Rev. C47, 1514 (1993)

    ADS  Google Scholar 

  2. S K Patra, C-L Wu, C R Praharaj and G K Khamari,J. Phys. G25, 501 (1999)

    ADS  Google Scholar 

  3. P Quentin and H Flocard,Ann. Rev. Nucl. Part. Sci. 28, 523 (1978)

    Article  ADS  Google Scholar 

  4. M Baranger and K Kumar,Nucl. Phys. A110, 410 (1968)

    Google Scholar 

  5. I Y Leeet al, Phys. Rev. Lett. 39, 682 (1974)

    ADS  Google Scholar 

  6. M V Hoenet al, Phys. Rev. C24, 1667 (1981)

    ADS  Google Scholar 

  7. F T Baker,Nucl. Phys. A331, 132 (1979)

    Google Scholar 

  8. G D Alkhazovet al, Nucl. Phys. A504, 549 (1989)

    ADS  Google Scholar 

  9. C Thibaultet al, Nucl. Phys. A637, 1 (1981)

    ADS  Google Scholar 

  10. A Ansari,Phys. Rev. C33, 321 (1986)

    ADS  Google Scholar 

  11. H Flocard, P Quentin and D Vautherin,Phys. Lett. B46, 304 (1973)

    ADS  Google Scholar 

  12. T Cooperet al, Phys. Rev. 13, 1083 (1976)

    Article  ADS  Google Scholar 

  13. D Cline,Ann. Rev. Nucl. Part. Sci. 36, 683 (1986)

    Article  ADS  Google Scholar 

  14. S K Patra, S Yoshida, N Takigawa, C R Praharaj and A K Rath,Phys. Rev. C51, 2248 (1995)

    ADS  Google Scholar 

  15. S K Patra, Cheng-Li Wu, C R Praharaj and G K Khamari,J. Phys. G25, 501 (1999)

    ADS  Google Scholar 

  16. S K Patra and C R Praharaj,Phys. Rev. C44, 2552 (1991)

    ADS  Google Scholar 

  17. M Del Estai, M Centelles, X Vinas and S k Patra,Phys. Rev. C63, 024314 (2001)

    ADS  Google Scholar 

  18. R Machleidt,Adv. Nucl. Phys. 19, 189 (1989)

    Google Scholar 

  19. Y k Gambhir, P Ring and A Thimet,Ann. Phys. 198, 132 (1990)

    Article  ADS  Google Scholar 

  20. M Rufa, P-G Reinhard, W Greiner and M R Stranger,Phys. Rev. C38, 390 (1988)

    ADS  Google Scholar 

  21. P-G Reinhard,Z. Phys. A329, 257 (1993)

    ADS  Google Scholar 

  22. C J Horowitz and B D Serot,Nucl. Phys. A368, 503 (1981)

    ADS  Google Scholar 

  23. B D Serot and J D Walecka,Adv. Nucl. Phys. 16, 1 (1986)

    Google Scholar 

  24. G Ripka,Adv. Nucl. Phys. 1, 1 (1966) edited by M Baranger and E Vogt (Plenum)

    Google Scholar 

  25. C R Praharaj,J. Phys. G14, 843 (1988);Phys. Lett. B119, 17 (1982)

    ADS  Google Scholar 

  26. A Faessleret al, Phys. Rev. 156, 1067 (1967)

    ADS  Google Scholar 

  27. P-G Reinhard, M Rufa, J Maruhn, W Greiner and J Friedrich,Z. Phys. A323, 13 (1986)

    ADS  Google Scholar 

  28. P K Panda, S K Patra, J Reinhard and J Maruhn,Int. J. Mod. Phys. E6, 307 (1997)

    ADS  Google Scholar 

  29. P Mölleret al, At. Data Nucl. Data Tables 39, 225 (1988)

    Article  ADS  Google Scholar 

  30. D G Madland and J R Nix,Nucl. Phys. A476, 1 (1988)

    ADS  Google Scholar 

  31. G A Lalazissis, J König and P Ring,Phys. Rev. C55, 540 (1997)

    ADS  Google Scholar 

  32. M M Sharma, A R Farhan and S Mythili,Phys. Rev. C61, 054306 (2000)

    ADS  Google Scholar 

  33. M Rashdan,Phys. Rev. C63, 044303 (2001)

    ADS  Google Scholar 

  34. S Ramanet al, At. Data Nucl. Data Tables 36, 1 (1987)

    Article  ADS  Google Scholar 

  35. G Audi, O Berstllon, J Blachot and A H Webpstra,Nucl. Phys. A624, 1 (1997)

    ADS  Google Scholar 

  36. S K Patra, B K Raj, M S Mehta and R k Gupta,Phys. Rev. C65, 054323 (2002)

    ADS  Google Scholar 

  37. J l Wood, K Heyde, W Nazarewicz, M Huyse and P Van Duppen,Phys. Rep. 215, 101 (1992)

    Article  ADS  Google Scholar 

  38. R Bengtsson and W Nazarewicz,Z. Phys. A334, 269 (1989)

    ADS  Google Scholar 

  39. P Bonche, H Flocard, P-H Heenen, S j Krieger, and M s Weiss,Nucl. Phys. A443, 39 (1985)

    ADS  Google Scholar 

  40. N Tajima, S Takahara and N Onishi,Nucl. Phys. A603, 23 (1996)

    ADS  Google Scholar 

  41. S Takami, K Yabana and M Matsnu,Phys. Lett. B431, 242 (1998)

    ADS  Google Scholar 

  42. M Yamagami, RIKEN Report No. 39 (September, 2001)

  43. W Koepf and P Ring,Phys. Lett. B212, 397 (1988)

    ADS  Google Scholar 

  44. J Fink, V Blum, P-G Reinhard, J a Maruhn and W Greiner,Phys. Lett. B218, 277 (1989)

    ADS  Google Scholar 

  45. D Hirata, H Toki, I Tanihata and P Ring,Phys. Lett. B314, 168 (1993)

    ADS  Google Scholar 

  46. A Bohr and B r Mottelson,Nuclear Structure (W A Benjamin, New York, 1969) vol. I, ch. 2, p. 239

    Google Scholar 

  47. M Hjorth-Jensen, T T S Kuo and E Osnes,Phys. Rep. 261, 125 (1995)

    Article  Google Scholar 

  48. P Arumugam, Z Naik and S K Patra (in preparation)

  49. G F Bertsch,Phys. Lett. B26, 130 (1968)

    ADS  Google Scholar 

  50. K Harada,Phys. Lett. 10, 81 (1964)

    ADS  Google Scholar 

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Authors and Affiliations

  1. Institute of Physics, Sachivalaya Marg, 751 005, Bhubaneswar, India

    Z. Naik, B. K. Sharma, P. Arumugam & S. K. Patra

  2. P.G. Department of Physics, Sambalpur University, Jyoti Vihar, 768 019, Burla, India

    T. K. Jha

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  1. Z. Naik
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  2. B. K. Sharma
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  3. T. K. Jha
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  4. P. Arumugam
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  5. S. K. Patra
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Naik, Z., Sharma, B.K., Jha, T.K. et al. Shape change in Hf, W and Os-isotopes: A non-relativistic Hartree-Fock versus relativistic Hartree approximation. Pramana - J Phys 62, 827–839 (2004). https://doi.org/10.1007/BF02706132

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  • DOI: https://doi.org/10.1007/BF02706132

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