Double Beta Decay and Neutrino Masses Amand Faessler Tuebingen

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Double Beta Decay and Neutrino Masses Amand Faessler Tuebingen. Accuracy of the Nuclear Matrix Elements. It determines the Error of the Majorana Neutrino Mass extracted. O νββ -Decay (forbidden). only for Majorana Neutrinos ν = ν c. P. P. Left. ν. Phase Space 10 6 x 2 νββ. Left. n. - PowerPoint PPT Presentation

Transcript of Double Beta Decay and Neutrino Masses Amand Faessler Tuebingen

  • Double Beta DecayandNeutrino MassesAmand FaesslerTuebingen

    Accuracy of the Nuclear Matrix Elements.

    It determines the Error of the Majorana Neutrino Mass extracted

    Amand Faessler, GERDA, 11. November 2005

  • Neutrinoless Double Beta DecayThe Double Beta Decay:

    0+0+0+-1+2--e-e-E>2me

    Amand Faessler, GERDA, 11. November 2005

  • 2-Decay (in SM allowed)

    Thesis Maria Goeppert-Mayer1935 GoettingenPPnn

    Amand Faessler, GERDA, 11. November 2005

  • O-Decay (forbidden)

    only for Majorana Neutrinos = c

    PPnnLeftLeftPhase Space106 x 2

    Amand Faessler, GERDA, 11. November 2005

  • GRAND UNIFICATIONLeft-right Symmetric Models SO(10)

    Majorana Mass:

    Amand Faessler, GERDA, 11. November 2005

  • PPnne-e-L/Rl/r

    Amand Faessler, GERDA, 11. November 2005

  • l/rPPl/rnnlight heavy NNeutrinosl/r L/R

    Amand Faessler, GERDA, 11. November 2005

  • SupersymmetryBosons Fermions-----------------------------------------------------------------------

    Neutralinos

    NeutralinosPPe-e-nnuuuuddProtonProtonNeutronNeutron

    Amand Faessler, GERDA, 11. November 2005

  • Theoretical Description:Simkovic, Rodin, Benes, Vogel, Bilenky, Salesh, Gutsche, Pacearescu, Haug, Kovalenko, Vergados, Kosmas, Schwieger, Raduta, Kaminski, Stoica, Suhonen, Civitarese, Tomoda et al. 0+0+0+1+2-kkke1e2PPEkEinn0

    Amand Faessler, GERDA, 11. November 2005

  • Neutrinoless Double Beta- Decay Probability

    Amand Faessler, GERDA, 11. November 2005

  • Effective Majorana Neutrino-Mass for the 0nbb-DecayCPTranformation from Mass to Flavor Eigenstates

    Amand Faessler, GERDA, 11. November 2005

  • Neutrino-Masses from the 0bband Neutrino OscillationsSolar Neutrinos (CL, Ga, Kamiokande, SNO)Atmospheric (Super-Kamiokande)Reactor (Chooz; KamLand)

    with CP-Invariance:

    Amand Faessler, GERDA, 11. November 2005

  • 1, 2, 3Mass Statese, , Flavor States

    Theta12 = 32.6 degrees Solar + KamLandTheta13 < 13 degrees ChoozTheta23 = 45 degrees S-Kamiokande

    D m 212(solar ) ~ 8*10**(-5) [eV**2]Dm223(atmospheric ) ~ 2.5*10**(-3) [eV**2]

    Amand Faessler, GERDA, 11. November 2005

  • Bilenky, Faessler, Simkovic P. R. D 70(2004)33003

    Amand Faessler, GERDA, 11. November 2005

  • Bilenky, Faessler, Simkovic:, Phys.Rev. D70:033003(2004) : hep-ph/0402250

    Amand Faessler, GERDA, 11. November 2005

  • (Bild) Bilenky, Faessler, Simkovic:, Phys.Rev. D70:033003(2004) : hep-ph/0402250

    Amand Faessler, GERDA, 11. November 2005

  • The best choice:Quasi-Particle-

    Quasi-Boson-Approx.:

    Particle Number non-conserv.(important near closed shells)UnharmonicitiesProton-Neutron PairingPairing

    Amand Faessler, GERDA, 11. November 2005

  • Amand Faessler, GERDA, 11. November 2005

  • Only for Majorana possible.

    Nucleus48Ca76Ge82Se96Zr100Mo116Cd128Te130Te134Xe136Xe150NdT1/2 (exp)[years]>9.51021>1.91025>1.41022>1.01021>5.51022>7.01022>8.61022>1.41022>5.81022>7.01023>1.71021Ref.:YouKlap-dorElli-ottArn.EjiriDane-vichAles.Ales.Ber.StaudtKlimenk.[eV]

  • Contribution of Different Multipoles to M(0n)

    Amand Faessler, GERDA, 11. November 2005

  • g(A)**4 = 1.25**4 = 2.44 fit to 2nbbRodin, Faessler, Simkovic, Vogel, Mar 2005 nucl-th/0503063

    Amand Faessler, GERDA, 11. November 2005

  • Overlap of Wave Functions of the not involved core of the initial and final nuclei.Benes, Faessler, SimkovicBenesch, Faessler, SimkovicPreliminary (July 2005)Ge76

    Amand Faessler, GERDA, 11. November 2005

  • Overlap of the core added to the 0nbb-decay and new 2nbb-decay data (NEMO).

    Amand Faessler, GERDA, 11. November 2005

  • R-QRPA-0nbb-Decay Nuclear Matrix Elements with Lipkin-Nogami and and Overlap of the Core.No experimental error includedClosed Shells involvedBenesch, Faessler, Simkovic (July 2005)Preliminary 20; 50; 82

    Amand Faessler, GERDA, 11. November 2005

  • Renormalized QRPAwith Lipkin-Nogamiincluding the experimental error of the 2nbb decay

    Amand Faessler, GERDA, 11. November 2005

  • Relation of M(0n) on M(2n) independent on Size of Basis ( 21 and 9 or 13 levels)Ratio M(0n)/M(2n) with g(pp) fixed to M(2n) independent of basis size

    Amand Faessler, GERDA, 11. November 2005

  • 2.76 (QRPA) 2.34 (RQRPA) Muto corrected

    Amand Faessler, GERDA, 11. November 2005

  • M0 (QRPA)

    O. Civitarese, J. Suhonen, NPA 729 (2003) 867Nucleus their(QRPA, 1.254) our(QRPA, 1.25)

    76Ge 3.33 2.68(0.12) 100Mo 2.97 1.30(0.10) 130Te 3.49 1.56(0.47) 136Xe 4.64 0.90(0.20)

    g(pp) fitted differently

    Higher order terms of nucleon Current included differently with Gaussian form factors based on a special quark model ( Kadkhikar, Suhonen, Faessler, Nucl. Phys. A29(1991)727). Does neglect pseudoscalar coupling (see eq. (19a)), which is an effect of 30%. We: Higher order currents from Towner and Hardy.

    What is the basis and the dependence on the size of the basis?

    Short-range Brueckner Correlations not included. But finite size effects included.

    We hope to understand the differences. But for that we need to know their input parameters ( g(pp), g(ph),basis, )!

    Amand Faessler, GERDA, 11. November 2005

  • Neutrinoless Double Beta DecayThe Double Beta Decay:

    0+0+0+-1+2--e-e-E>2me x x xxxx Gamov-Teller single beta decay in the second leg fitted with g(pp) by Suhonen et al.. Underestimates the first leg.We fit the full 2nbb decay by adjusting g(pp).

    Amand Faessler, GERDA, 11. November 2005

  • Fit of g(pp) to the single beta (2. leg) and the 2n double beta decay (small and large basis).Fit to 2nbbFit to 1+ to 0+

    Amand Faessler, GERDA, 11. November 2005

  • Amand Faessler, GERDA, 11. November 2005

  • Uncorrelated and Correlated Relative N-N-Wavefunctionin the N-N-PotentialShort Range Correlations

    Amand Faessler, GERDA, 11. November 2005

  • Jastrow-Function multiplying the relative N-N wavefunction (Parameters from Miller and Spencer, Ann. Phys 1976)

    Amand Faessler, GERDA, 11. November 2005

  • Influence of Short Range Correlations

    (Parameters from Miller and Spencer, Ann. Phys 1976)

    Amand Faessler, GERDA, 11. November 2005

  • Contribution of Different Multipoles to the zero Neutrino Matrixelements in QRPAs.r.c. = short range correlationsh.o.t. = higher order currentsDifferent Multipolesa) 76Ge small model space ( 9 levels) b) 76Ge large model space (21 levels)C) 100Mo small model space ( 13 levels) d) 100Mo large model space ( 21 levels)

    Amand Faessler, GERDA, 11. November 2005

  • Comparison of 2nbbHalf Lives with Shell model Results from Strassburg

    Amand Faessler, GERDA, 11. November 2005

  • 0nbb-Decay Matrix Elements in R-QRPA and the Strassburg Shell Model

    Amand Faessler, GERDA, 11. November 2005

  • Contribution of GT 1+ States and the Sum of all other States to M(0n)

    Amand Faessler, GERDA, 11. November 2005

  • Multipole Decomposition of M(0n) in QRPA

    Amand Faessler, GERDA, 11. November 2005

  • Amand Faessler, GERDA, 11. November 2005

  • Amand Faessler, GERDA, 11. November 2005

  • M0 (R-QRPA; 1.25)

    S. Stoica, H.V. Klapdor-Kleingrothaus, NPA 694 (2001) 269 A similar procedure of fixing g(pp) to the two neutrino decay in one basis (?).

    Higher order terms of nucleon current not considered

    Nucleus l.m.s s.m.s our

    76Ge 1.87 (l=12) 3.74 (s=9) 2.40(.12) 100Mo 3.40 4.36 1.20(.15) 130Te 3.00 4.55 1.46(.46) 136Xe 1.02 1.57 0.85(.23)

    Model space dependence?

    Disagreementalso between his tables and figures for R-QRPA and S-QRPA!

    Amand Faessler, GERDA, 11. November 2005

  • Neutrinoless Double Beta Decay Matrix ElementsEVZ-88 = Engel, Vogel, Zirnbauer; MBK-89 = Muto. Bender, Klapdor; T-91 Tomoda; SKF-91 = Suhonen, Khadkikar, Faessler; PSVF-96 = Pantis, Simkovic, Vergados, Faessler; AS-98 = Aunola, Suhonen; SPVF-99 = Simkovic, Pantis, Vergados, Faessler; SK-01 = Stoica, Klapdor; CS-03= Civitarese, Suhonen.

    Amand Faessler, GERDA, 11. November 2005

  • Neutrinoless Double Beta Decay Matrix ElementsEVZ-88 = Engel, Vogel, Zirnbauer; MBK-89 = Muto. Bender, Klapdor; T-91 Tomoda; SKF-91 = Suhonen, Khadkikar, Faessler; PSVF-96 = Pantis, Simkovic, Vergados, Faessler; AS-98 = Aunola, Suhonen; SPVF-99 = Simkovic, Pantis, Vergados, Faessler; SK-01 = Stoica, Klapdor; CS-03= Civitarese, Suhonen.

    Amand Faessler, GERDA, 1