skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Neutrinoless double-β decay and nuclear transition matrix elements

Abstract

Within mechanisms involving the light Majorana neutrinos, squark-neutrino, Majorons, sterile neutrinos and heavy Majorana neutrino, nuclear transition matrix elements for the neutrinoless (β{sup −}β{sup −}){sub 0ν} decay of {sup 96}Zr, {sup 100}Mo, {sup 128,130}Te and {sup 150}Nd nuclei are calculated by employing the PHFB approach. Effects due to finite size of nucleons, higher order currents, short range correlations, and deformations of parent as well as daughter nuclei on the calculated matrix elements are estimated. Uncertainties in nuclear transition matrix elements within long-ranged mechanisms but for double Majoron accompanied (β{sup −}β{sup −}ϕϕ){sub 0ν} decay modes are 9%–15%. In the case of short ranged heavy Majorona neutrino exchange mechanism, the maximum uncertainty is about 35%. The maximum systematic error within the mechanism involving the exchange of light Majorana neutrino is about 46%.

Authors:
 [1]
  1. Department of Physics, University of Lucknow, Lucknow-226007, India Email: pkrath-lu@yahoo.co.in (India)
Publication Date:
OSTI Identifier:
22492671
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1686; Journal Issue: 1; Conference: MEDEX'15: Workshop on calculation of double-beta-decay matrix elements, Prague (Czech Republic), 9-12 Jun 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; DEFORMATION; DOUBLE BETA DECAY; ERRORS; MAJORONS; MATRIX ELEMENTS; MOLYBDENUM 100; NEODYMIUM 150; NEUTRINOS; NUCLEONS; TELLURIUM 130; ZIRCONIUM 96

Citation Formats

Rath, P. K. Neutrinoless double-β decay and nuclear transition matrix elements. United States: N. p., 2015. Web. doi:10.1063/1.4934908.
Rath, P. K. Neutrinoless double-β decay and nuclear transition matrix elements. United States. doi:10.1063/1.4934908.
Rath, P. K. 2015. "Neutrinoless double-β decay and nuclear transition matrix elements". United States. doi:10.1063/1.4934908.
@article{osti_22492671,
title = {Neutrinoless double-β decay and nuclear transition matrix elements},
author = {Rath, P. K.},
abstractNote = {Within mechanisms involving the light Majorana neutrinos, squark-neutrino, Majorons, sterile neutrinos and heavy Majorana neutrino, nuclear transition matrix elements for the neutrinoless (β{sup −}β{sup −}){sub 0ν} decay of {sup 96}Zr, {sup 100}Mo, {sup 128,130}Te and {sup 150}Nd nuclei are calculated by employing the PHFB approach. Effects due to finite size of nucleons, higher order currents, short range correlations, and deformations of parent as well as daughter nuclei on the calculated matrix elements are estimated. Uncertainties in nuclear transition matrix elements within long-ranged mechanisms but for double Majoron accompanied (β{sup −}β{sup −}ϕϕ){sub 0ν} decay modes are 9%–15%. In the case of short ranged heavy Majorona neutrino exchange mechanism, the maximum uncertainty is about 35%. The maximum systematic error within the mechanism involving the exchange of light Majorana neutrino is about 46%.},
doi = {10.1063/1.4934908},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1686,
place = {United States},
year = 2015,
month =
}
  • We explore the theoretical uncertainties related to the transition operator of neutrinoless double-beta (0νββ) decay. The transition operator used in standard calculations is a product of one-body currents, that can be obtained phenomenologically as in Tomoda [1] or Šimkovic et al. [2]. However, corrections to the operator are hard to obtain in the phenomenological approach. Instead, we calculate the 0νββ decay operator in the framework of chiral effective theory (EFT), which gives a systematic order-by-order expansion of the transition currents. At leading orders in chiral EFT we reproduce the standard one-body currents of Refs. [1] and [2]. Corrections appear asmore » two-body (2b) currents predicted by chiral EFT. We compute the effects of the leading 2b currents to the nuclear matrix elements of 0νββ decay for several transition candidates. The 2b current contributions are related to the quenching of Gamow-Teller transitions found in nuclear structure calculations.« less
  • Cited by 15
  • The status of calculation of the neutrinoless double beta decay (0{nu}{beta}{beta}-decay) nuclear matrix elements (NME's) is reviewed. The spread of published values of NME's is discussed. The main attention is paid to the recent progress achieved in the evaluation of the 0{nu}{beta}{beta}-decay NME's in the framework of the quasiparticle random phase approximation (QRPA). The obtained results are compared with those of the nuclear shell model. The problem of reliable determination of the 0{nu}{beta}{beta}-decay NME's is addressed. The uncertainty in NME's are analyzed and further progress in calculation of the 0{nu}{beta}{beta}-decay NME's is outlined.
  • By making use of the isospin conservation by strong interaction, the Fermi 0{nu}{beta}{beta} nuclear matrix element M{sub F}{sup 0{nu}} is transformed to acquire the form of an energy-weighted double Fermi transition matrix element. This useful representation allows reconstruction of the total M{sub F}{sup 0{nu}} provided a small isospin-breaking Fermi matrix element between the isobaric analog state in the intermediate nucleus and the ground state of the daughter nucleus could be measured, e.g., by charge-exchange reactions. Such a measurement could set a scale for the 0{nu}{beta}{beta} nuclear matrix elements and help to discriminate between the different nuclear structure models in whichmore » calculated M{sub F}{sup 0{nu}} may differ by as much as a factor of 5 (that translates to about 20% difference in the total M{sup 0{nu}})« less
  • The nuclear matrix elements M{sup 0v} of the neutrinoless double beta decay (0v{beta}{beta}-decay) are systematically evaluated using the self-consistent renormalized quasiparticle random phase approximation (SRQRPA). The residual interaction and the two-nucleon short-range correlations are derived from the charge-dependent Bonn (CD-Bonn) potential. The importance of further progress in the calculation of the 0v{beta}{beta}-decay nuclear matrix elements is stressed.