Double beta decay parameters calculator.

There is an attempt to summarize different nuclear matrix elements calculations performed for different kinds of neutrinoless double beta decay precesses. The idea is to provide simple tool, which allows to easily recalculate limits on physics quantities (neutrino mass, majoron coupling constant etc.) corresponding to given measured or expected half-lives.

 

I. Effective neutrino mass limits.

 

Table 1. Effective neutrino mass (eV) vs. bb0n halflife (in 10^23 y) for different isotopes. Most recent experemental limits and results taken as default values. 1-3 usualy used for NEMO 3 limits calculations. 4 - recent work with NME revised according to 2b2n data. 5 - shell model calculation.

Experiment
Isotope
T1/2, 10^23 y
[1]
[2]
[3] min
[3] max
[4] min
[4] max
[5]
NEMO 3 Mo-100
NEMO 3 Se-82
Nd-150
COURICINO Te-130
HM Ge-76

 

[1] F. Simkovic et al, Phys. Rev. C 60 (1999) 055502 (final results from Table III)
[2] O. Civatarese and J. Suhonen, Nucl. Phys. A 729 (2003) 867 (Table 4)
[3] S. Stoica and H. Klapdor-Kleingrothaus, Nucl. Phys. A 694 (2001) 269
[4] V.A. Rodin et al., Nucl. Phys. A 766 (2006) 107 (nucl-th/0503063)
[5] E. Caurier, F. Nowacki, A. Poves and J. Retamosa, Nucl. Phys. A654 (1999) 973c (Shell model calculation)

 

Next table is based on comparison work between different QRPA calculations made in [4].
Two different phase-space calculations could be used

J. Suhonen, O. Civitarese Phys. Rep. 300 (1998) 123-214 (In this report Mo-100 is misprinted. Corrected value used here)

F. Simkovic et al, Phys. Rev. C 60 (1999) 055502

Table2. Effective neutrino masses (eV) following different NME calculations. Half lives for calculations are taken from Table 1.

Ref. Method r0 gpp gA Ge-76 Se-82 Zr-96 Mo-100 Cd-116 Te-130 Xe-136 Nd-150
         
Same NME for every isotope
  NME=2      
         
Without higher order terms of nucleon current
MBK-89 QRPA 1.1 b 1.0
T-91 QRPA 1.1 1.0 1.0
        1.25
SKF-91 QRPA 1.1 1.0 1.0
        1.25
PSVF-96 QRPA 1.1 1.0 1.25
SPVF-99 RQRPA 1.1 1.0 1.0
        1.25
RFSV-06 QRPA 1.1 bb 1.25
SK-01 QRPA   bb  
         
  RQRPA   bb  
         
AS(ws)-98 QRPA 1.1 b 1.25
AS(aws)-98 QRPA 11 b 1.25
CS-03 QRPA   b 1.25
         
With higher order terms of nucleon current
SPVF-99 RQRPA 1.1 1.0 1.25
RFSV-06 QRPA 1.1 bb 1.0
        1.25
  RQRPA 1.1 bb 1.0
        1.25
         
Calculation for deformed nuclei
HCH-95 pseudo SU(3)     1.25

[MBK-89] K. Muto, E. Bender, and H.V. Klapdor, Z. Phys. A 334, 187 (1989)
[T-91] T. Tomoda, Rept. Prog. Phys. 54, 53 (1991)
[SKF-91] J. Suhonen, S.B. Khadkikhar, and A. Faessler, Nucl. Phys. A 535, 509 (1991)
[PSVF-96] G. Pantis, F. .Simkovic, J.D. Vergados, and A. Faessler, Phys. Rev. C 53, 695 (1996)
[SPVF-99] F. .Simkovic, G. Pantis, J.D. Vergados, and A. Faessler, Phys. Rev. C 60, 055502 (1999)
[RFSV-06] V.A. Rodin et al., Nucl. Phys. A 766 (2006) 107 (nucl-th/0503063)
[SK-01] S. Stoica and H. Klapdor-Kleingrothaus, Nucl. Phys. A 694 (2001) 269
[AS-98] M. Aunola, J. Suhonen, Nucl. Phys. A643 (1998) 207
[CS-03] O. Civatarese and J. Suhonen, Nucl. Phys. A 729 (2003) 867 (Table 4)
[HCH-95] H.G. Hirsch, O. Castanos, P.O. Hess, Nucl. Phys A582 (1995) 124

II. SUSY particle mediated decay

Table 3. Limit on parameter lamda_111, (10^-4) Half lives for calculations are taken from Table 1.

Ref. Method Ge-76 Se-82 Zr-96 Mo-100 Cd-116 Te-130 Xe-136 Nd-150
FES-06 QRPA

FES-06 A.Faessler, Prog. Part. Nucl. Phys. 57 (2006) 162

III. Right curent admixture in the EW Lagrangian

Table 4. Limits on parmeter Lymbda (10^-6) for corresponding half-life limit (10^23 y).

Experiment Isotope T1/2, 10^23 y [1] WS [1] AWS [2]    
NEMO 3 Mo-100    
NEMO 3 Se-82    
  Nd-150    
COURICINO Te-130    
HM Ge-76    

[1] M. Aunola, J. Suhonen, Nucl. Phys. A643 (1998) 207

[2] J. Suhonen, Nucl. Phys. A700 (2002) 649