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Studies on two neutrino double beta decay

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Abstract

The study aimed to develop an empirical formula for phase space factor and nuclear matrix element to analyse two neutrino double beta decay. The present work also extended to compute phase space factor using Primakoff–Rosen approximation. Using these two formulae for phase space factors we have computed two neutrino double beta decay half lives. Comparisons of the calculated half lives with the corresponding experimental values are also done. The empirical formula predictions are found to be in good agreement with the experimental data. The empirical formula is applied to various isotopes exhibiting single beta decay and our prediction on the possibility of two neutrino double beta decay will be very useful for the future experiments.

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References

  1. A S Barabash Phys. At. Nucl. 74 603(2011)

    Article  ADS  Google Scholar 

  2. S P Rosen and H Primakoff Rep. Prog. Phys. 22 121 (1959)

    Article  ADS  Google Scholar 

  3. D Bryman and C Picciotto Rev. Mod. Phys. 50 11 (1978)

    Article  ADS  Google Scholar 

  4. H Primakoff and S P Rosen Ann. Rev. Nucl. Part. Sci. 31 145 (1981)

    Article  ADS  Google Scholar 

  5. W C Haxton, G J Jr Stephenson Prog. Part. Nucl. Phys. 12 409 (1984)

    Article  ADS  Google Scholar 

  6. M Doi, T Kotani and E Takasugi Prog. Theor. Phys. Suppl. 83 1 (1985)

    Article  ADS  Google Scholar 

  7. M Doi and T Kotani Prog. Theor. Phys. 87 1207 (1992)

    Article  ADS  Google Scholar 

  8. M Doi and T Kotani Prog. Theor. Phys. 89 139 (1993)

    Article  ADS  Google Scholar 

  9. J D Vergados Nucl. Phys. B218 109 (1983); Phys. Rep. 133 1 (2002)

    Article  ADS  Google Scholar 

  10. A Faessler Prog. Part. Nucl. Phys. 21 183 (1988)

    Article  ADS  Google Scholar 

  11. T Tomoda Rep. Prog. Phys. 54 53 (1991)

    Article  ADS  Google Scholar 

  12. F Boehm and P Vogel Ann. Rev. Nucl. Part. Sci . 34 125 (1984)

    Article  ADS  Google Scholar 

  13. F Boehm and P Vogel Physics of Massive Neutrinos, 2nd ed. (Cambridge: Cambridge University Press) (1992)

    Book  Google Scholar 

  14. M K Moe and P Vogel Ann. Rev. Nucl. Part. Sci. 44 247 (1994)

    Article  ADS  Google Scholar 

  15. K Zuber Phys. Rep. 305 295 (1998)

    Article  ADS  Google Scholar 

  16. E Fiorini Phys. Rep. 307 309 (1998)

    Article  ADS  Google Scholar 

  17. J Suhonen and O Civitarese Phys. Rep. 300 123 (1998)

    Article  ADS  Google Scholar 

  18. A Faessler and F Simkovic J. Phys. G Nucl. Part. Phys. 24 2139 (1998)

    Article  ADS  Google Scholar 

  19. H Ejiri Phys. Rep . 338 265 (2000)

    Article  ADS  Google Scholar 

  20. H V Klapdor-Kleingrothaus Sixty Years of Double Beta Decay (Singapore: World Scientific) (2001)

  21. S R Elliott and P Vogel Ann. Rev. Nucl. Part. Sci. 52 115 (2002)

    Article  ADS  Google Scholar 

  22. S R Elliott and J Engel J. Phys. G Nucl. Part. Phys. 30 R183 (2004)

    Article  ADS  Google Scholar 

  23. E Caurier, A P Zuker, A Poves and G Martinez-Pinedo Phys. Rev. C50 225 (1994)

    Google Scholar 

  24. E Caurier, J Menendez, F Nowacki and A Poves Phys. Rev. Lett. 100 052503 (2008)

    Article  ADS  Google Scholar 

  25. M Horoi, S Stoica and B A Brown Phys. Rev. C75 034303 (2007)

    Google Scholar 

  26. V A Rodin, A Faessler, F Simkovic, P Vogel Phys. Rev. C68 044302 (2003)

    Google Scholar 

  27. F Simkovic, A Faessler, H Muther, V A Rodin and M Stauf Phys. Rev. C79 055501 (2009)

    Google Scholar 

  28. D L Fang, A Faessler, V A Rodin and F Simkovic Phys. Rev. C83 034320 (2011)

    Google Scholar 

  29. V A Rodin, A Faessler, F Simkovic and P Vogel Nucl. Phys. A766 107 (2006)

    Google Scholar 

  30. M Kortelainen and J Suhonen Phys. Rev. C75 051203R (2007)

    Article  ADS  Google Scholar 

  31. M Kortelainen and J Suhonen Phys. Rev. C76 024315 (2007)

    Article  ADS  Google Scholar 

  32. F Simkovic, A Faessler, V A Rodin, P Vogal and J Engel Phys. Rev. C77 045503 (2008)

    Google Scholar 

  33. A S Barabash JETP Lett. 68 1 (1998)

    Article  ADS  Google Scholar 

  34. A S Barabash Eur. Phys. J. A8 137 (2000)

  35. A S Barabash Astrophys. Space Sci. 283 169 (2003)

    Article  Google Scholar 

  36. A Giuliani and A Poves Adv. High Energy Phys. 2012 857016 (2012)

    Article  Google Scholar 

  37. J Beringer, J Arguin, R Barnett, K Copic, O Dahl, D Groom, C Lin, J Lys, H Murayama, C G Wohl, W M Yao, P A Zyla, C Amsler, M Antonelli, D M Asner, H Baer, H RBand, T Basaglia, C W Bauer, J J Beatty, V I Belousov, E Bergren, G Bernardi, W Bertl, S Bethke, H Bichsel, O Biebel, E Blucher, S Blusk and G Brooijmans Phys. Rev. D86 631 (2012)

    Google Scholar 

  38. E Majorana Nuovo Cim. 14 171 (1937)

  39. S R Elliott, A A Hahn and M K Moe Phys. Rev. Lett. 59 2020 (1987)

  40. P Vogel arXiv:1992v1, 1208 (2012)

  41. M Doi, T Kotani, H Nishiura, K Okuda and E Takasugi Prog. Theor. Phys. 66 1739 (1981)

    Article  ADS  Google Scholar 

  42. M Doi, T Kotani, H Nishiura and E Takasugi Prog. Theor. Phys. 69 602 (1983)

    Article  ADS  Google Scholar 

  43. H Primakoff and S P Rosen Rep. Prog. Phys. 22 121 (1959)

    Article  ADS  Google Scholar 

  44. E J Konopinski Theory of Beta Radioactivity (London: Oxford University Press) (1966)

  45. J Kotila and F Iachello Phys. Rev. C85 034316 (2012)

    Article  ADS  Google Scholar 

  46. S Stoica and M Mirea Phys. Rev. C88 037303 (2013)

    Article  ADS  Google Scholar 

  47. R Saakyan Annu. Rev. Nucl. Part. Sci. 63 503 (2013)

    Article  ADS  Google Scholar 

  48. F T Avignone III, S R Elliott and J Engel Rev. Mod. Phys. 80 481 (2008)

    Article  ADS  Google Scholar 

  49. E Caurier, F Nowacki and A Poves Phys. Lett. B711 62 (2012)

    Article  ADS  Google Scholar 

  50. J Barea and F Iachello Phys. Rev. C79 044301 (2009)

    Article  ADS  Google Scholar 

  51. G Audi, A H Wapstra and C Thivault Nucl. Phys. A729 337 (2003)

    Google Scholar 

  52. Y Ren and Z Ren Phys. Rev. C89 064603 (2014)

    Google Scholar 

  53. J Suhonen and M Kortelainen Rev. Mex. 50S2 112 (2004)

  54. W A Richter, M G Van der Merwe, R E Julies and B A Brown Nucl. Phys. A523 325 (1991)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. School of Pure and Applied Physics, Kannur University, Swami Anandatheertha Campus, Payyanur, 670327, India

    M. K. Preethi Rajan & K. P. Santhosh

  2. Department of Physics, Pazhassi Raja N S S College, Mattanur, 670702, India

    R. K. Biju

Authors
  1. M. K. Preethi Rajan
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  2. R. K. Biju
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  3. K. P. Santhosh
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Correspondence to M. K. Preethi Rajan.

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Rajan, M.K.P., Biju, R.K. & Santhosh, K.P. Studies on two neutrino double beta decay. Indian J Phys 92, 893–899 (2018). https://doi.org/10.1007/s12648-018-1178-4

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  • DOI: https://doi.org/10.1007/s12648-018-1178-4

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