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Nuclear transition matrix elements for neutrinoless double- $β$ decay of $^{76}$ Ge isotope within PHFB approach

P. K. Rath

Department of Physics, University of Lucknow, Lucknow, Uttar Pradesh 226007, India

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A. Kumar

Department of Physics, University of Lucknow, Lucknow, Uttar Pradesh 226007, India

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R. Chandra

Department of Physics, Babasaheb Bhimrao Ambedkar University, Lucknow, Uttar Pradesh 226025, India

E-mail Address: ramesh.luphy@gmail.com

Corresponding author.

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R. Gautam

Department of Physics, Babasaheb Bhimrao Ambedkar University, Lucknow, Uttar Pradesh 226025, India

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P. K. Raina

Department of Physics, Indian Institute of Technology Ropar, Rupnagar, Punjab 140001, India

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, and

B. M. Dixit

Faculty of Physical Sciences, SRM University, Barabanki 225013, India

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https://doi.org/10.1142/S0218301319500964Cited by:2 (Source: Crossref)

Abstract

Employing projected–Hartree–Fock–Bogoliubov (PHFB) model, nuclear transition matrix elements (NTMEs) $M^{(K)}$ for the neutrinoless double- $β^{-}$ decay of $^{76}$ Ge isotope are calculated within mechanisms involving light as well as heavy Majorana neutrinos, and classical Majorons. By considering the spin-tensor decomposition of realistic KUO and empirical JUN45 effective two-body interactions, it is noticed that the effect due to SRC on NTMEs $M^{(0 ν)}$ and $M^{(0 N)}$ involving the exchange of light and heavy Majorana neutrinos, respectively, is maximally incorporated by the central part of the effective two-body interaction, which varies by a small amount with the inclusion of spin-orbit and tensor components. Presently, the model-dependent uncertainties in the average NTMEs ${\bar{M}}^{(0 ν)}$ and ${\bar{M}}^{(0 N)}$ turn out to be about 10% and 37%, respectively.

Keywords:

PACS: 21.60.Jz, 23.20.-g, 23.40.Hc

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References

1. J. D. Vergados, H. Ejiri and F. Simkovic, Int. J. Mod. Phys. E 25 (2016) 1630007; Rep. Prog. Phys. 75 (2012) 106301. Google Scholar
2. S. Dell’Oro, S. Marcocci, M. Viel and F. Vissani, Adv. High Energy Phys. 2016 (2016) 2162659. Google Scholar
3. J. Kotila and F. Iachello, Phys. Rev. C 85 (2012) 034316. Crossref, Web of Science, ADS, Google Scholar
4. S. Stoica and M. Mirea, Phys. Rev. C 88 (2013) 037303. Crossref, Web of Science, ADS, Google Scholar
5. D. Stefanik, R. Dvornicky, F. Simkovic and P. Vogel, Phys. Rev. C 92 (2015) 055502. Crossref, Web of Science, ADS, Google Scholar
6. J. Engel and J. J. Menéndez, Rep. Prog. Phys. 80 (2017) 046301. Crossref, Web of Science, Google Scholar
7. E. Caurier, F. Nowacki and A. Poves, Eur. Phys. J. A 36 (2008) 195; E. Caurier, J. Menéndez, F. Nowacki and A. Poves, Phys. Rev. Lett. 100 (2008) 052503; E. Caurier, F. Nowacki, A. Poves and J. Retamosa, Nucl. Phys. A 654 (1999) 973c; Phys. Rev. Lett. 77 (1996) 1954; E. Caurier, A. Poves and A. P. Zuker, Phys. Lett. B 252 (1990) 13. Google Scholar
8. J. Menéndez, A. Poves, E. Caurier and F. Nowacki, Nucl. Phys. A 818 (2009) 139. Crossref, Web of Science, ADS, Google Scholar
9. B. A. Brown, M. Horoi and R. A. Sen’kov, Phys. Rev. Lett. 113 (2014) 262501; M. Horoi and B. A. Brown, Phys. Rev. Lett. 110 (2013) 222502; M. Horoi and S. Stoica, Phys. Rev. C 81 (2010) 024321. Google Scholar
10. R. A. Sen’kov and M. Horoi, Phys. Rev. C 93 (2016) 044334; B. A. Brown, D. L. Fang and M. Horoi, Phys. Rev. C 92 (2015) 041301(R); A. Neacsu and M. Horoi, Phys. Rev. C 91 (2015) 024309; R. A. Sen’kov and M. Horoi, Phys. Rev. C 90 (2014) 051301(R); R. A. Sen’kov, M. Horoi and B. A. Brown, Phys. Rev. C 89 (2014) 054304. Google Scholar
11. P. Vogel and M. R. Zirnbauer, Phys. Rev. Lett. 57 (1986) 3148. Crossref, Web of Science, ADS, Google Scholar
12. O. Civitarese, A. Faessler and T. Tomoda, Phys. Lett. B 194 (1987) 11. Crossref, Web of Science, ADS, Google Scholar
13. J. Suhonen and O. Civitarese, Phys. Rep. 300 (1998) 123. Crossref, Web of Science, ADS, Google Scholar
14. A. Faessler and F. Šimkovic, J. Phys. G 24 (1998) 2139. Crossref, Web of Science, ADS, Google Scholar
15. F. Šimkovic, V. Rodin, A. Faessler and P. Vogel, Phys. Rev. C 87 (2013) 045501. Crossref, Web of Science, ADS, Google Scholar
16. A. Faessler, V. Rodin and F. Simkovic, J. Phys. G, Nucl. Part. Phys. 39 (2012) 124006; D. L. Fang, A. Faessler, V. Rodin and F. Simkovic, Phys. Rev. C 83 (2011) 034320; Phys. Rev. C 82 (2010) 051301(R). Google Scholar
17. M. T. Mustonen and J. Engel, Phys. Rev. C 87 (2013) 064302. Crossref, Web of Science, ADS, Google Scholar
18. D. L. Fang, A. Faessler and F. Šimkovic, Phys. Rev. C 97 (2018) 045503. Crossref, Web of Science, ADS, Google Scholar
19. P. K. Rath, R. Chandra, K. Chaturvedi, P. K. Raina and J. G. Hirsch, Phys. Rev. C 82 (2010) 064310. Crossref, Web of Science, ADS, Google Scholar
20. P. K. Rath, R. Chandra, K. Chaturvedi, P. Lohani, P. K. Raina and J. G. Hirsch, Phys. Rev. C 88 (2013) 064322. Crossref, Web of Science, ADS, Google Scholar
21. P. K. Rath, R. Chandra, P. K. Raina, K. Chaturvedi and J. G. Hirsch, Phys. Rev. C 85 (2012) 014308. Crossref, Web of Science, ADS, Google Scholar
22. P. K. Rath, R. Chandra, K. Chaturvedi, P. Lohani and P. K. Raina, Phys. Rev. C 93 (2016) 024314. Crossref, Web of Science, ADS, Google Scholar
23. J. Barea, J. Kotila and F. Iachello, Phys. Rev. C 87 (2013) 014315; F. Iachello, J. Barea and J. Kotila, AIP Conf. Proc. 1417 (2011) 62; F. Iachello and J. Barea, Nucl. Phys. B Proc. Suppl. 217 (2011) 5; J. Barea and F. Iachello, Phys. Rev. C 79 (2009) 044301. Google Scholar
24. N. Yosida and F. Iachello, Prog. Theor. Exp. Phys. 2013 (2013) 043D01. Google Scholar
25. J. Barea, J. Kotila and F. Iachello, Phys. Rev. C 91 (2015) 034304. Crossref, Web of Science, ADS, Google Scholar
26. T. R. Rodríguez and G. Martínez-Pinedo, Phys. Rev. Lett. 105 (2010) 252503. Crossref, Web of Science, ADS, Google Scholar
27. J. M. Yao, L. S. Song, K. Hagino, P. Ring and J. Meng, Phys. Rev. C 91 (2015) 024316. Crossref, Web of Science, ADS, Google Scholar
28. G. A. Miller and J. E. Spencer, Ann. Phys. (NY) 100 (1976) 562. Crossref, Web of Science, ADS, Google Scholar
29. M. Kortelainen and J. Suhonen, Phys. Rev. C 76 (2007) 024315; M. Kortelainen, O. Civitarese, J. Suhonen and J. Toivanen, Phys. Lett. B 647 (2007) 128. Google Scholar
30. F. Šimkovic, A. Faessler, H. Muther, V. Rodin and M. Stauf, Phys. Rev. C 79 (2009) 055501. Crossref, Web of Science, ADS, Google Scholar
31. J. Menéndez, D. Gazit and A. Schwenk, Phys. Rev. Lett. 107 (2011) 062501. Crossref, Web of Science, ADS, Google Scholar
32. J. Suhonen and O. Civitarese, Phys. Lett. B 725 (2013) 153. Crossref, Web of Science, ADS, Google Scholar
33. J. Engel, F. Šimkovic and P. Vogel, Phys. Rev. C 89 (2014) 064308. Crossref, Web of Science, ADS, Google Scholar
34. R. Saakyan, Annu. Rev. Nucl. Part. Sci. 63 (2013) 503. Crossref, Web of Science, ADS, Google Scholar
35. M. Agostini et al., Phys. Rev. Lett. 120 (2018) 132503. Crossref, Web of Science, ADS, Google Scholar
36. C. E. Aalseth et al., Phys. Rev. Lett. 120 (2018) 132502. Crossref, Web of Science, ADS, Google Scholar
37. A. S. Barabash and V. B. Brudanin, Phys. At. Nucl., 74 (2011) 312; R. Arnold et al., Phys. Rev. D 92 (2015) 072011. Google Scholar
38. K. Alfonso et al., Phys. Rev. Lett. 115 (2015) 102502; C. Alduino et al., Phys. Rev. C 93 (2016) 045503. Google Scholar
39. A. Gando et al., Phys. Rev. Lett. 117 (2016) 082503. Crossref, Web of Science, ADS, Google Scholar
40. M. Auger et al., Phys. Rev. Lett. 109 (2012) 32505. Crossref, Web of Science, ADS, Google Scholar
41. A. L. Goodman, Hartree-Fock-Bogoliubov Theory with Applications to Nuclei in Advances in Nuclear Physics, eds. J. W. Negele and E. Vogt, Vol. 11 (Plenum, New York, 1979) 263. Google Scholar
42. T. T. S. Kuo, Private Communication. Google Scholar
43. M. Honma, T. Otsuka, T. Mizusaki and M. Hjorth-Jensen, Phys. Rev. C 80 (2009) 064323. Crossref, Web of Science, ADS, Google Scholar
44. F. Šimkovic, G. Pantis, J. D. Vergados and A. Faessler, Phys. Rev. C 60 (1999) 055502. Crossref, Web of Science, ADS, Google Scholar
45. J. D. Vergados, Phys. Rep. 361 (2002) 1. Crossref, Web of Science, ADS, Google Scholar
46. M. Blenow, E. F. Martinez, J. L. Pavon and J. Menéndez, J. High Energy Phys. 7 (2010) 96. Crossref, Web of Science, ADS, Google Scholar
47. F. Šimkovic, D. Štefánik and R. Dvornický, Front. Phys. 5 (2017) 57. Crossref, Web of Science, ADS, Google Scholar
48. B. H. Wildental, Prog. Part. Nucl. Phys. 11 (1984) 5. Crossref, ADS, Google Scholar
49. P. N. Tripathi, S. K. Sharma and S. K. Khosa, Phys. Rev. C 29 (1984) 1951. Crossref, Web of Science, ADS, Google Scholar
50. M. W. Kirson, Phys. Lett. B 47 (1973) 110; J. P. Schiffer and W. W. True, Rev. Mod. Phys. 48 (1976) 191; K. Klingenbeck, W. Knufer, M. G. Huber and P. W. M. Glaudemans, Phys. Rev. C 15 (1977) 1483; B. A. Brown, W. A. Richter and B. H. Wildental, J. Phys. G 11 (1985) 1191. Google Scholar
51. M. Sakai, At. Data Nucl. Data Tables 31 (1984) 399. Crossref, Web of Science, ADS, Google Scholar
52. S. Raman, C. W. Nestor Jr. and P. Tikkanen, At. Data Nucl. Data Tables 78 (2001) 1; S. Raman, C. H. Malarkey, W. T. Milner, C. W. Nestor Jr. and P. H. Stelson, At. Data Nucl. Data Tables 36 (1987) 1. Google Scholar
53. P. Raghavan, At. Data Nucl. Data Tables 42 (1989) 189. Crossref, Web of Science, ADS, Google Scholar
54. P. K. Rath and S. K. Sharma, Phys. Rev. C 38 (1988) 2928. Crossref, Web of Science, ADS, Google Scholar
55. J. P. Schiffer et al., Phys. Rev. Lett. 100 (2008) 112501. Crossref, Web of Science, ADS, Google Scholar
56. B. P. Kay et.al., Phys. Rev. C 79 (2009) 021301(R). Crossref, Web of Science, ADS, Google Scholar
57. Particle Data Group (J. Beringer et al.), Phys. Rev. D 86 (2012) 010001. Crossref, Web of Science, Google Scholar
58. R. A. Sen’kov and M. Horoi, Phys. Rev. C 90 (2014) 051301(R). Crossref, Web of Science, ADS, Google Scholar
59. A. Neacsu and S. Stoica, J. Phys. G, Nucl. Part. Phys. 41 (2014) 015201. Crossref, Web of Science, Google Scholar
60. O. Civitarese and J. Suhonen, J. Phys. Conf. Ser. 173 (2009) 012012. Crossref, Google Scholar
61. J. Hyvarinen and J. Suhonen, Phys. Rev. C 91 (2015) 024613. Crossref, Web of Science, ADS, Google Scholar
62. D.-L. Fang, A. Faessler and V. Rodin, Phys. Rev. C 83 (2011) 034320. Crossref, Web of Science, ADS, Google Scholar
63. N. L. Vaquero, T. R. Rodríguez and J. L. Egido, Phys. Rev. Lett. 111 (2013) 142501. Crossref, Web of Science, ADS, Google Scholar
64. L. S. Song, J. M. Yao, P. Ring and J. Meng, Phys. Rev. C 95 (2017) 024305. Crossref, Web of Science, ADS, Google Scholar
65. F. Šimkovic, L. Pacearescu and A. Faessler, Nucl. Phys. A 733 (2004) 321. Crossref, Web of Science, ADS, Google Scholar
66. M. Doi, T. Kotani and E. Takasugi, Prog. Theor. Phys. Suppl. 83 (1985) 1. Crossref, ADS, Google Scholar
67. F. Šimkovic, J. Vergados and A. Faessler, Phys. Rev. D 82 (2010) 113015. Crossref, Web of Science, ADS, Google Scholar
68. J. Kotila, J. Barea and F. Iachello, Phys. Rev. C 91 (2015) 064310. Crossref, Web of Science, ADS, Google Scholar
69. H. V. Klapdor-Kleingrothaus et al., Eur. Phys. J. A 12 (2001) 147. Crossref, Web of Science, ADS, Google Scholar