Nuclear moments for the neutrinoless double beta decay

Barbero, César Alberto; Krmpotić, F.; Mariano, A.; Tadić, D.

doi:10.1016/s0375-9474(97)00614-3

Cited by 15 publications

(37 citation statements)

References 62 publications

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“…Thus, the physical substratum is the same as in our previous QRPA work on the same issue [14][15][16][17][18][19][20][21][22][23][25][26][27][28], and here we just bring up to date those studies. To implement this, we have to take into account the pseudoscalar (P ) and weak-magnetism (M ) matrix elements M 0ν P , and M 0ν M , as suggested byŠimkovic et al [29] (see also [30,Appendix A]), which we have not done before, i.e., we consider now the full nuclear weak current…”

Section: Introductionmentioning

confidence: 99%

“…We solve the RPA equations only once for the intermediate (N −1, Z +1) nucleus [23][24][25][26][27], while it is usually solved twice for (N, Z) and (N − 2, Z + 2) nuclei, followed by some kind of averaging procedure. This is an outstanding difference since, as shown bellow, the one-QRPA method yields significantly smaller ββ 0ν moments than the currently used two-QRPA-method.…”

Section: Introductionmentioning

confidence: 99%

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Partial restoration of spin-isospin SU(4) symmetry and the one-quasiparticle random-phase approximation method in double- β decay

et al. 2017

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The one-QRPA method is used to describe simultaneously both double decay beta modes, giving special attention to the partial restoration of spin-isospin SU (4) symmetry. To implement this restoration and to fix the model parameters, we resort to the energetics of Gamow-Teller resonances and to the minima of the single β + -decay strengths. This makes the theory predictive regarding the ββ2ν -decay, producing the 2ν moments in 48 Nd, that are of the same order of magnitude as the experimental ones; however, the agreement with ββ2ν data is only modest. To include contributions coming from induced nuclear weak currents, we extend the ββ0ν -decay formalism employed previously in C. Barbero et al., Nuc. Phys. A628, 170 (1998), which is based on the Fourier-Bessel expansion. The numerical results for the ββ0ν moments in the above mentioned nuclei are similar to those obtained in other theoretical studies although smaller on average by ∼ 40%. We attribute this difference basically to the one-QRPA-method, employed here for the first time, instead of the currently used two-QRPA-method. The difference is partially due also to the way of carrying out the restoration of the spin-isospin symmetry. It is hard to say which is the best way to make this restoration, since the ββ0ν moments are not experimentally measurable. The recipe proposed here is based on physically robust arguments. The numerical uncertainties in the ββ moments, related with: i) their strong dependence on the residual interaction in the particleparticle channel when evaluated within the QRPA, and ii) lack of proper knowledge of single-particle energies, have been quantified. It is concluded that the partial restoration of the SU (4) symmetry, generated by the residual interaction, is crucial in the description of the ββ-decays, regardless of the nuclear model used.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Partial restoration of spin-isospin SU(4) symmetry and the one-quasiparticle random-phase approximation method in double- β decay

et al. 2017

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“…The implementation of such a code, including the three decay modes, demands an amazing effort both theoretically and numerically. Much effort has been spent by our group along last years in order to estimate the NME and the corresponding half-lives [4,5,6,7,8,9,10]. From the pioneering works of Krmpotić et al [1], we decided to use in those works individual codes separated in three groups according to the considered decay mode.…”

Section: Results and Final Remarksmentioning

confidence: 99%

“…[4,5,6]. Relative to the QRPA nuclear calculations, we have employed a residual δ -force V = −4π(v s P s + v t P t )δ (r), with different strength constants v s and v t for the particle-hole, particle-particle and pairing channels [1,3,11].…”

Section: Results and Final Remarksmentioning

confidence: 99%

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Computer code for double beta decay QRPA based calculations

Barbero¹,

Krmpotić²,

Mariano³

et al. 2014

AIP Conference Proceedings

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QRAP: A numerical code for projected (Q)uasiparticle (RA)ndom (P)hase approximation

Samana

Krmpotić

Bertulani

2010

Computer Physics Communications

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A computer code for quasiparticle random phase approximation -QRPA and projected quasiparticle random phase approximation -PQRPA models of nuclear structure is explained in details. The residual interaction is approximated by a simple δ-force. An important application of the code consists in evaluating nuclear matrix elements involved in neutrino-nucleus reactions. As an example, cross sections for 56 Fe and 12 C are calculated and the code output is explained. The application to other nuclei and the description of other nuclear and weak decay processes are also discussed. Program summaryTitle of program: QRAP (Quasiparticle RAndom Phase approximation) Computers: The code has been created on a PC, but also runs on UNIX or LINUX machines Operating systems: WINDOWS or UNIX Program language used: Fortran-77 Memory required to execute with typical data: 16 Mbytes of RAM memory and 2 MB of hard disk space No. of lines in distributed program, including test data, etc.: ∼ 8000 No. of bytes in distributed program, including test data, etc.: ∼ 256 kBDistribution format: tar.gz Nature of physical problem: The program calculates neutrino-and antineutrino-nucleus cross sections as a function of the incident neutrino energy, and muon capture rates, using the QRPA or PQRPA as nuclear structure models. Method of solution: The QRPA, or PQRPA, equations are solved in a self-consistent way for even-even nuclei. The nuclear matrix elements for the neutrino-nucleus interaction are treated as the beta inverse reaction of odd-odd nuclei as function of the transfer momentum.Typical running time: ≈ 5 min on a 3 GHz processor for Data set 1.

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Nuclear moments for the neutrinoless double beta decay

Cited by 15 publications

References 62 publications

Partial restoration of spin-isospin SU(4) symmetry and the one-quasiparticle random-phase approximation method in double- β decay

Partial restoration of spin-isospin SU(4) symmetry and the one-quasiparticle random-phase approximation method in double- β decay

Computer code for double beta decay QRPA based calculations

QRAP: A numerical code for projected (Q)uasiparticle (RA)ndom (P)hase approximation

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