An Effective Method to Accurately Calculate the Phase Space Factors for β - β - Decay

Neacsu, Andrei; Horoi, Mihai

doi:10.1155/2016/7486712

Title: An Effective Method to Accurately Calculate the Phase Space Factors for $β^{-} β^{-}$ Decay

Journal Article · Fri Jan 01 00:00:00 EST 2016 · Advances in High Energy Physics

DOI:https://doi.org/10.1155/2016/7486712· OSTI ID:1249933

Neacsu, Andrei ^[1]; Horoi, Mihai ^[1]

Department of Physics, Central Michigan University, Mount Pleasant, MI 48859, USA

Accurate calculations of the electron phase space factors are necessary for reliable predictions of double-beta decay rates and for the analysis of the associated electron angular and energy distributions. Here, we present an effective method to calculate these phase space factors that takes into account the distorted Coulomb field of the daughter nucleus, yet it allows one to easily calculate the phase space factors with good accuracy relative to the most exact methods available in the recent literature.

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Research Organization:: Central Michigan Univ., Mount Pleasant, MI (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0008529

OSTI ID:: 1249933

Alternate ID(s):: OSTI ID: 1268305

Journal Information:: Advances in High Energy Physics, Journal Name: Advances in High Energy Physics Vol. 2016; ISSN 1687-7357

Publisher:: Hindawi Publishing CorporationCopyright Statement

Country of Publication:: Egypt

Language:: English

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Cited by: 8 works

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References (33)

Disassembling the nuclear matrix elements of the neutrinoless ββ decay Menéndez, J.; Poves, A.; Caurier, E. Nuclear Physics A, Vol. 818, Issue 3-4 https://doi.org/10.1016/j.nuclphysa.2008.12.005	journal	March 2009
Probing new physics models of neutrinoless double beta decay with SuperNEMO Arnold, R.; Augier, C.; Baker, J. The European Physical Journal C, Vol. 70, Issue 4 https://doi.org/10.1140/epjc/s10052-010-1481-5	journal	November 2010
New calculations for phase space factors involved in double- $β$ decay Stoica, Sabin; Mirea, Mihail Physical Review C, Vol. 88, Issue 3 https://doi.org/10.1103/physrevc.88.037303	journal	September 2013
Lepton number and flavour violation in TeV-scale left-right symmetric theories with large left-right mixing Barry, James; Rodejohann, Werner Journal of High Energy Physics, Vol. 2013, Issue 9 https://doi.org/10.1007/jhep09(2013)153	journal	September 2013
A search for various double beta decay modes of tin isotopes Dawson, J.; Ramaswamy, R.; Reeve, C. Nuclear Physics A, Vol. 799, Issue 1-4 https://doi.org/10.1016/j.nuclphysa.2007.11.011	journal	February 2008
Effects of orbital occupancies and spin–orbit partners on -decay rates Suhonen, J.; Civitarese, O. Nuclear Physics A, Vol. 847, Issue 3-4 https://doi.org/10.1016/j.nuclphysa.2010.08.003	journal	December 2010
Nuclear matrix elements for double- $β$ decay Barea, J.; Kotila, J.; Iachello, F. Physical Review C, Vol. 87, Issue 1 https://doi.org/10.1103/physrevc.87.014315	journal	January 2013
Neutrinoless double- $β$ decay of $^{48}$ Ca in the shell model: Closure versus nonclosure approximation Sen'kov, R. A.; Horoi, M. Physical Review C, Vol. 88, Issue 6 https://doi.org/10.1103/physrevc.88.064312	journal	December 2013
Study of nuclear effects in the computation of the 0νββ decay matrix elements Neacsu, Andrei; Stoica, Sabin Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 1 https://doi.org/10.1088/0954-3899/41/1/015201	journal	December 2013
Nuclear structure and double beta decay Vogel, Petr Journal of Physics G: Nuclear and Particle Physics, Vol. 39, Issue 12 https://doi.org/10.1088/0954-3899/39/12/124002	journal	November 2012
Nuclear matrix elements for neutrinoless double-beta decay and double-electron capture Faessler, Amand; Rodin, Vadim; Šimkovic, Fedor Journal of Physics G: Nuclear and Particle Physics, Vol. 39, Issue 12 https://doi.org/10.1088/0954-3899/39/12/124006	journal	November 2012
Weak-interaction and nuclear-structure aspects of nuclear double beta decay Suhonen, Jouni; Civitarese, Osvaldo Physics Reports, Vol. 300, Issue 3-4 https://doi.org/10.1016/s0370-1573(97)00087-2	journal	July 1998
Shell model analysis of competing contributions to the double- $β$ decay of $^{48}$ Ca Horoi, Mihai Physical Review C, Vol. 87, Issue 1 https://doi.org/10.1103/physrevc.87.014320	journal	January 2013
Neutrinoless double- $β$ decay of ${}^{82}{Se}$ in the shell model: Beyond the closure approximation Sen'kov, R. A.; Horoi, M.; Brown, B. A. Physical Review C, Vol. 89, Issue 5 https://doi.org/10.1103/physrevc.89.054304	journal	May 2014
Nuclear structure effects on the neutrinoless double beta decay Muto, K.; Bender, E.; Klapdor, H. V. Zeitschrift f�r Physik A Atomic Nuclei, Vol. 334, Issue 2 https://doi.org/10.1007/bf01294219	journal	June 1989
Double beta decays and neutrino nuclear responses Ejiri, Hiroyasu Progress in Particle and Nuclear Physics, Vol. 64, Issue 2 https://doi.org/10.1016/j.ppnp.2009.12.021	journal	April 2010
Average and recommended half-life values for two-neutrino double beta decay Barabash, A. S. Nuclear Physics A, Vol. 935 https://doi.org/10.1016/j.nuclphysa.2015.01.001	journal	March 2015
Supersymmetry and neutrinoless double β decay Hirsch, M.; Klapdor-Kleingrothaus, H. V.; Kovalenko, S. G. Physical Review D, Vol. 53, Issue 3 https://doi.org/10.1103/physrevd.53.1329	journal	February 1996
Shell model predictions for ${}^{124}{Sn}$ double- $β$ decay Horoi, Mihai; Neacsu, Andrei Physical Review C, Vol. 93, Issue 2 https://doi.org/10.1103/physrevc.93.024308	journal	February 2016
Shell model studies of the ${}^{130}{Te}$ neutrinoless double- $β$ decay Neacsu, Andrei; Horoi, Mihai Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/physrevc.91.024309	journal	February 2015
Theory of neutrinoless double-beta decay Vergados, J. D.; Ejiri, H.; Šimkovic, F. Reports on Progress in Physics, Vol. 75, Issue 10 https://doi.org/10.1088/0034-4885/75/10/106301	journal	September 2012
Neutrinoless double- $β$ decay in SU(2)×U(1) theories Schechter, J.; Valle, J. W. F. Physical Review D, Vol. 25, Issue 11 https://doi.org/10.1103/PhysRevD.25.2951	journal	June 1982
Double Beta Decay Doi, M.; Kotani, T.; Nishiura, H. Progress of Theoretical Physics, Vol. 69, Issue 2 https://doi.org/10.1143/PTP.69.602	journal	February 1983
Reexamining the light neutrino exchange mechanism of the $0 ν β β$ decay with left- and right-handed leptonic and hadronic currents Štefánik, Dušan; Dvornický, Rastislav; Šimkovic, Fedor Physical Review C, Vol. 92, Issue 5 https://doi.org/10.1103/PhysRevC.92.055502	journal	November 2015
"Natural" left-right symmetry Mohapatra, R. N.; Pati, J. C. Physical Review D, Vol. 11, Issue 9 https://doi.org/10.1103/PhysRevD.11.2558	journal	May 1975
Exact left-right symmetry and spontaneous violation of parity Senjanovic, G.; Mohapatra, R. N. Physical Review D, Vol. 12, Issue 5 https://doi.org/10.1103/PhysRevD.12.1502	journal	September 1975
Shell Model Studies of the Double Beta Decays of $^{76}$ Ge, $^{82}$ Se, and $^{136}$ Xe Caurier, E.; Nowacki, F.; Poves, A. Physical Review Letters, Vol. 77, Issue 10 https://doi.org/10.1103/PhysRevLett.77.1954	journal	September 1996
Neutrinoless double- $β$ decay in the microscopic interacting boson model Barea, J.; Iachello, F. Physical Review C, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevC.79.044301	journal	April 2009
Limits on Neutrino Masses from Neutrinoless Double- $β$ Decay Barea, J.; Kotila, J.; Iachello, F. Physical Review Letters, Vol. 109, Issue 4 https://doi.org/10.1103/PhysRevLett.109.042501	journal	July 2012
The shell model as a unified view of nuclear structure Caurier, E.; Martínez-Pinedo, G.; Nowacki, F. Reviews of Modern Physics, Vol. 77, Issue 2 https://doi.org/10.1103/RevModPhys.77.427	journal	June 2005
Accurate shell-model nuclear matrix elements for neutrinoless double- $β$ decay Sen'kov, R. A.; Horoi, M. Physical Review C, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevC.90.051301	journal	November 2014
Large-scale calculations of the double- $β$ decay of $^{76} Ge,^{130} Te,^{136} Xe$ , and $^{150} Nd$ in the deformed self-consistent Skyrme quasiparticle random-phase approximation Mustonen, M. T.; Engel, J. Physical Review C, Vol. 87, Issue 6 https://doi.org/10.1103/PhysRevC.87.064302	journal	June 2013
Arbitrary mass Majorana neutrinos in neutrinoless double beta decay Faessler, Amand; González, Marcela; Kovalenko, Sergey Physical Review D, Vol. 90, Issue 9 https://doi.org/10.1103/PhysRevD.90.096010	journal	November 2014

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Shell model study of using an effective field theory for disentangling several contributions to neutrinoless double- $β$ decay Horoi, Mihai; Neacsu, Andrei Physical Review C, Vol. 98, Issue 3 https://doi.org/10.1103/physrevc.98.035502	journal	September 2018