Description of double beta decay within continuum-QRPA

Abstract

A method to calculate the nuclear double beta decay ($2\nu \beta \beta$- and $0\nu \beta \beta$-) amplitudes within the continuum random phase approximation (cQRPA) is formulated. Calculations of the $\beta \beta$ transition amplitudes within the cQRPA are performed for ^{76}Ge, ^{100}Mo and ^{130}Te. A rather simple nuclear Hamiltonian consisting of phenomenological mean field and zero-range residual particle-hole and particle-particle interaction is used. The calculated M^{2ν} are almost not affected when the single-particle continuum is taken into account. At the same time, a regular suppression of the $0\nu \beta \beta$-amplitude is found that can be associated with additional ground state correlations due to collective states in the continuum. It is expected that future inclusion of the nucleon pairing in the single-particle continuum will somewhat compensate the suppression.

20 pages, 1 figure, published version

References in corpus (20)

• Double Beta Decay
• Double Beta Decay
• Erratum: Assessment of uncertainties in QRPA $0\nu \beta \beta$-decay nuclear matrix elements [Nucl. Phys. A 766, 107 (2006)]
• Double Beta Decay
• On the uncertainty in the $0\nu \beta \beta$ decay nuclear matrix elements
• Neutrino-nucleus reactions and nuclear structure
• Continuum Linear Response in Coordinate Space Hartree-Fock-Bogoliubov Formalism for Collective Excitations in Drip-line Nuclei
• Improved short-range correlations and 0nbb nuclear matrix elements of 76Ge and 82Se
• Nuclear matrix elements of neutrinoless double beta decay with improved short-range correlations
• Short-range correlations and neutrinoless double beta decay
• Continuum quasiparticle random phase approximation and the time dependent Hartree-Fock-Bogoliubov approach
• Matrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method
• Hartree-Fock and Many-Body Perturbation Theory with Correlated Realistic NN-Interactions
• Neutrino Masses and Oscillations: Triumphs and Challenges
• Muon capture on nuclei with N > Z, random phase approximation, and in-medium renormalization of the axial-vector coupling constant
• Structure and decay properties of spin-dipole giant resonances within a semimicroscopical approach
• Direct-decay properties of charge-exchange spin giant resonances
• On the Fermi and Gamow-Teller strength distribution in medium-heavy mass nuclei
• Sensitive behavior of $2\nu \beta \beta$-decay amplitude within QRPA and broken SU(4) symmetry in nuclei
• First application of the continuum-QRPA to description of the double beta decay

Cited by in corpus (10)

• Two-neutrino double beta decay of deformed nuclei within QRPA with realistic interaction
• Overconstrained estimates of neutrinoless double beta decay within the QRPA
• Neutrino and antineutrino charge-exchange reactions on 12C
• Deformation effects and neutrinoless positron $\beta \beta$ decay of ${}^{96}$Ru, ${}^{102}$Pd, ${}^{106}$Cd, ${}^{124}$Xe, ${}^{130}$Ba and ${}^{156}$Dy isotopes within Majorona neutrino mass mechanism
• Quadrupolar correlations and deformation effect on two neutrino $\epsilon {\beta }^{+}$ and $\epsilon \epsilon$ modes of ${}^{156}$Dy isotope
• Can one measure nuclear matrix elements of neutrinoless double beta decay?
• Relation of isospin-symmetry breaking correction for superallowed beta decay to energy of charge-exchange giant monopole resonance
• On Gamow-Teller strength distributions for $\beta \beta$-decaying nuclei within continuum-QRPA
• Gamow-Teller strength distributions for double-beta-decaying nuclei within continuum-QRPA
• Multipolar correlations and deformation effect on nuclear transition matrix elements of double-$\beta$ decay