Description of double β decay within the continuum quasiparticle random-phase approximation

Rodin, Vadim; Faessler, Amand

doi:10.1103/physrevc.77.025502

Cited by 15 publications

(16 citation statements)

References 37 publications

(60 reference statements)

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“…The continuum QRPA (CQRPA) would have to be superior to the QRPA for the same reasons that the CRPA would have to be better than the RPA. Nevertheless, neither this superiority has been put in evidence by numerical calculations [53,54]. Finally, it is clear that the nuclear structure descriptions inspired on the Relativistic Fermi Gas Model (RFGM) [55][56][57], which do not involve multipole expansions, should only be used for inclusive quantities.…”

Section: Introductionmentioning

confidence: 99%

Neutrino and antineutrino charge-exchange reactions onC12

et al. 2011

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We extend the formalism of weak interaction processes, obtaining new expressions for the transition rates, which greatly facilitate numerical calculations, both for neutrino-nucleus reactions and muon capture. Explicit violation of CVC hypothesis by the Coulomb field, as well as development of a sum rule approach for the inclusive cross sections have been worked out. We have done a thorough study of exclusive (ground state) properties of 12 B and 12 N within the projected quasiparticle random phase approximation (PQRPA). Good agreement with experimental data achieved in this way put in evidence the limitations of standard RPA and the QRPA models, which come from the inability of the RPA in opening the p 3/2 shell, and from the non-conservation of the number of particles in the QRPA. The inclusive neutrino/antineutrino (ν/ν) reactions 12 C(ν, e − ) 12 N and 12 C(ν, e + ) 12 B are calculated within both the PQRPA, and the relativistic QRPA (RQRPA). It is found that the magnitudes of the resulting cross-sections: i) are close to the sum-rule limit at low energy, but significantly smaller than this limit at high energies both for ν andν, ii) they steadily increase when the size of the configuration space is augmented, and particulary for ν/ν energies > 200 MeV, and iii) converge for sufficiently large configuration space and final state spin. The quasi-elastic 12 C(ν, µ − ) 12 N cross section recently measured in the MiniBooNE experiment is briefly discussed. We study the decomposition of the inclusive cross-section based on the degree of forbiddenness of different multipoles. A few words are dedicated to the ν/ν-12 C charge-exchange reactions related with astrophysical applications.

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Section: Introductionmentioning

confidence: 99%

Neutrino and antineutrino charge-exchange reactions onC12

et al. 2011

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“…Since the nuclei in question are open-shell ones, one would in principle need to take into account the pairing correlations, and, better, to use the continuum-QRPA [19][20][21] instead of the continuum-RPA. However, the continuum-QRPA calculations are much more time consuming, and, more importantly, one can easily argue that the effect of nucleon pairing on the quantities in question must be small (since the pairing gap is much smaller than Ω M ).…”

Section: Calculation Resultsmentioning

confidence: 99%

Relation between isospin-symmetry-breaking correction to superallowedβdecay and the energy of the charge-exchange giant monopole resonance

Rodin

2013

Phys. Rev. C

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After application of an analytical transformation, a new exact representation for the nuclear isospin-symmetry breaking correction δ C to superallowed beta decay is obtained. The correction is shown to be essentially the reciprocal of the square of an energy parameter Ω M which characterizes the charge-exchange monopole strength distribution. The proportionality coefficient in this relation is determined by basic properties of the ground state of the even-even parent nucleus, and should be reliably calculable in any realistic nuclear model. Therefore, the single parameter Ω M contains all the information about the properties of excited 0 + states needed to describe δ C . This parameter can possibly be determined experimentally by charge-exchange reactions. Basic quantities of interest are calculated within the isospin-consistent continuum random phase approximation, and the values of δ C are compared with the corresponding results from other approaches.

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“…The first step towards formulation of a pn-cQRPA approach is transformation of the pn-dQRPA equations to the coordinate representation (see also Refs. [6,7,9]). The energies ω s and wave functions |s, J π M of the states in the isobaric (odd-odd) nucleus are usually obtained within the quasiboson version of the pn-dQRPA as a solution of a system of homogeneous equations for the forward and backward amplitudes X JLS s and Y JLS s related to β ∓ charge-exchange excitations of an even-even parent nucleus.…”

Section: Versions Of the Pn-qrpa: Discrete And Continuummentioning

confidence: 99%

“…The next step towards taking the s-p continuum into account is consideration of the effective two-quasiparticle propagator (two-quasiparticle Green function)Ã KK ′ (r, r ′ , ω), which satisfies a Bethe-Salpeter-type equation [7]:…”

Section: B Qrpa Effective Operators and Strength Functionsmentioning

confidence: 99%