Neutrinoless double beta decay and a new limit on the lepton number violation

Tomoda, T.; Faessler, Amand; Schmid, K.W.; Grümmer, F.

doi:10.1016/0370-2693(85)91200-6

Cited by 32 publications

(44 citation statements)

References 13 publications

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“…However, the negative sign leads to An exact calculation for the recoil matrix element would be very complicated, since the nuclear recoil terms contain the nuclear momenta. These should be understood actually as operators, which do not exactly commute with H. However, as shown by Tomoda et al [28] …”

Section: Oem Matrbc Elements For Right-handed Currentsmentioning

confidence: 96%

Extended operator expansion method for neutrinoless double beta decay

Hirsch

Kadowaki

Klapdor‐Kleingrothaus

et al. 1995

Z. Physik A - Hadrons and Nuclei

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Abstract. Reliable calculations of nuclear matrix elements are a prerequisite for the determination of the effective neutrino mass and other particle physics parameters from neutrinoless double beta decay. Here, the operator expansion method is improved by including Coulomb, tensor and central interactions simultaneously. Furthermore, the formalism of the OEM is extended to those matrix elements necessary to extract the right-handed parameters (2) and (r/) from Ovflfl decay. OEM includes the dependence of the nuclear matrix elements on the intermediate states implicitly and can therefore be understood as a step beyond the closure approximation. Numerical studies are carried out for the isotope 76Ge combining the OEM expressions with ground-state wave functions calculated within a proton-neutron quasiparticle Random Phase Approximation (pn-QRPA) model. The influence and relative importance of central, tensor and Coulomb interactions is investigated. Within the OEM, contributions from the Coulomb force are found to be negligible in Ovflfi decay, while the tensor force leads to a moderate change of the results, of the order of (10-30) %, giving a better agreement between sets of calculations which employ different NN-interactions. Generally, results of the OEM + QRPA calculation are similar to previous calculations of Ovflfl decay matrix elements, indicating that Ovfifl decay is not sensitive to model approximations and might therefore be more accurately calculated than the strongly suppressed 2vfifi decay matrix elements.

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Section: Oem Matrbc Elements For Right-handed Currentsmentioning

confidence: 96%

Extended operator expansion method for neutrinoless double beta decay

Hirsch

Kadowaki

Klapdor‐Kleingrothaus

et al. 1995

Z. Physik A - Hadrons and Nuclei

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show abstract

“…As we have already mentioned in the introduction, momentum dependent terms, in particular the weak-magnetism term, have been considered previously in the ββ decay by Tomoda et al [15] and Pantis et al [6], but in connection with the η-term. This term is proportional to the mixing between the vector bosons W L and W R , which mediate the left and right handed weak interaction, respectively.…”

Section: The Effective Transition Operatormentioning

confidence: 98%

“…The weak-magnetism and nucleon recoil terms have been considered in the extraction of the neutrino mass independent parameters associated with right-handed current mechanisms of 0νββ-decay and were found to be very important in the case of the η parameter [6,15]. This is understood since the leading contribution in this mechanism is proportional to the lepton momenta.…”

mentioning

confidence: 99%

Additional nucleon current contributions to neutrinoless doubleβdecay

et al. 1999

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We have examined the importance of momentum dependent induced nucleon currents such as weak-magnetism and pseudoscalar couplings to the amplitude of neutrinoless double beta decay (0νββ-decay) in the mechanisms of light and heavy Majorana neutrino as well as in that of Majoron emission.Such effects are expected to occur in all nuclear models in the direction of reducing the light neutrino matrix elements by about 30%. To test this we have performed a calculation of the nuclear matrix elements of the experimentally interesting nuclei A = 76, 82, 96, 100, 116, 128, 130, 136 and 150 within the proton-neutron renormalized Quasiparticle Random Phase Approximation (pn-RQRPA). We have found that indeed such corrections vary * Permanent address:

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“…The parameters AT, 8, and C in Eq. (13), as well as in the single particle energies E, are taken as [24] and e( lp3/2 ) =O. 00 MeV, e(Of s/2 ) = 1.75 MeV, e( Ip, /z ) =2.20 MeV, e(Og9/z ) =3.39 MeV .…”

Section: Kr+2ementioning

confidence: 99%

0νββ decays and shell model wave functions ofGe76andSe
Wu
¹
,
Cl
²
,
Song
³

1993
Phys. Rev. C
2
0
5
0
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The nuclear matrix elements of Ge and ' Se are studied by using the shell model wave functions in a model-space approximation.The influences of both nuclear short-range correlation and finite nucleon size on the transition matrix elements are also taken into account. The limits of Majorana neutrino mass and mixing parameter of right-handed current have been deduced by fitting the experimental values of OvPP decay lifetimes of ' Cse and ' Se.PACS number(s): 23.40.8w, 23.40.Hc, 21.60.Cs, 27.50.+e

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Neutrinoless double beta decay and a new limit on the lepton number violation

Cited by 32 publications

References 13 publications

Extended operator expansion method for neutrinoless double beta decay

Extended operator expansion method for neutrinoless double beta decay

Additional nucleon current contributions to neutrinoless doubleβdecay

0νββ decays and shell model wave functions ofGe76andSe
Wu
¹
,
Cl
²
,
Song
³

1993
Phys. Rev. C
2
0
5
0
View full text Add to dashboard Cite

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Neutrinoless double beta decay and a new limit on the lepton number violation

Cited by 32 publications

References 13 publications

Extended operator expansion method for neutrinoless double beta decay

Extended operator expansion method for neutrinoless double beta decay

Additional nucleon current contributions to neutrinoless doubleβdecay

0νββ decays and shell model wave functions ofGe76andSeWu1, Cl2, Song3 1993Phys. Rev. C2050View full textAdd to dashboardCite

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0νββ decays and shell model wave functions ofGe76andSe
Wu
¹
,
Cl
²
,
Song
³

1993
Phys. Rev. C
2
0
5
0
View full text Add to dashboard Cite