Abstract
The spectroscopic properties of 64Zn and 64Ni are calculated within the framework of the deformed shell model (DSM) based on Hartree-Fock states. GXPF1A interaction in 1f 7/2, 2p 3/2, 1f 5/2 and 2p 1/2 space with 40Ca as the core is employed. After ensuring that DSM gives good description of the spectroscopic properties of low-lying levels in these two nuclei considered, nuclear transition matrix elements (NTME) for the neutrinoless positron double beta decay ( 0ν β + β + and 0ν β +EC) of 64Zn are calculated. The two-neutrino positron double beta decay half-life is also calculated for this nucleus.
Similar content being viewed by others
References
H V Klapdor-Kleingrothaus and I V Krivosheina, Mod. Phys. Lett. A 21, 1547 (2006)
A Gando et al, Phys. Rev. Lett. 110, 062502 (2013)
M Auger et al, Phys. Rev. Lett. 109, 032505 (2012)
J Barea, J Kotila and F Iachello, Phys. Rev. C 87, 014315 (2013)
B P Belli et al, J. Phys. G: Nucl. Part. Phys. 38, 115107 (2011)
A S Barabash, P Hubert, A Nachab and V Umatov, Nucl. Phys. A 785, 371 (2007)
C Sáenz et al, Phys. Rev. C 50, 1170 (1994)
http://www.apctp.org/topical/2009/npap2009/Presentations/APCTP_NPAP2009_192_Kim.pdf
R Sahu and S P Pandya, J. Phys. G 14, L165 (1988)
R Sahu and S P Pandya, Nucl. Phys. A 548, 64 (1992)
K C Tripathy and R Sahu, J. Phys. G 20, 911 (1994)
R Sahu and S P Pandya, Nucl. Phys. A 571, 253 (1994)
K C Tripathy and R Sahu, Nucl. Phys. A 597, 177 (1996)
K C Tripathy and R Sahu, Int. J. Mod. Phys. E 11, 531 (2002)
R Sahu and V K B Kota, Phys. Rev. C 66, 024301 (2002)
R Sahu and V K B Kota, Phys. Rev. C 67, 054323 (2003)
S Mishra, R Sahu and V K B Kota, Prog. Theor. Phys. 118, 59 (2007)
T S Kosmas, A Faessler and R Sahu, Phys. Rev. C 68, 054315 (2003)
R Sahu, K H Bhatt and D P Ahalpara, J. Phys. G 16, 733 (1990)
R Sahu, F Šimkovic and A Faessler, J. Phys. G 25, 1159 (1999)
S Mishra, A Shukla, R Sahu and V K B Kota, Phys. Rev. C 78, 024307 (2008)
A Shukla, R Sahu and V K B Kota, Phys. Rev. C 80, 057305 (2009)
R Sahu and V K B Kota, Int. J. Mod. Phys. E 20, 1723 (2011)
J Kotila and F Iachello, Phys. Rev. C 87, 024313 (2013)
V S Kolhinen et al, Phys. Lett. B 684, 17 (2010)
M Honma, T Otsuka, B A Brown and T Mizusaki, Phys. Rev. C 69, 034335 (2004)
D Karlgren et al, Phys. Rev. C 69, 034330 (2004)
R Broda et al, Phys. Rev. C 86, 064312 (2012)
ENSDF Data Base, Brookhaven National Laboratory, USA, http://www.nndc.bnl.gov/ensdf/index.jsp
D von Ehrenstein and J P Schiffer, Phys. Rev. 164, 1374 (1967)
V K B Kota and V Potbhare, Nucl. Phys. A 331, 93 (1979)
J P Schiffer et al, Phys. Rev. Lett. 108, 022501 (2012)
J P Schiffer et al, Phys. Rev. Lett. 100, 112501 (2008)
B P Kay et al, Phys. Rev. C 79, 021301(R) (2009)
G Audi, A H Wapstra and C Thibault, Nucl. Phys. A 729, 337 (2003)
P Domin, S Kovalenko, F Šimkovic and S V Semenov, Nucl. Phys. A 753, 337 (2005)
Acknowledgements
RS is thankful to UGC and DST for the financial support. RS and VKBK thank F Iachello andMHoroi for useful discussions at European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*), Trento, Italy.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
SAHU, R., KOTA, V.K.B. Deformed shell model studies of spectroscopic properties of 64Zn and 64Ni and the positron double beta decay of 64Zn. Pramana - J Phys 82, 757–767 (2014). https://doi.org/10.1007/s12043-014-0726-5
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12043-014-0726-5