Isospin impurity of the Isobaric Analogue State of super-allowed beta decay experimental technique isospin impurity determination Bertram Blank, CEN Bordeaux-Gradignan.

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Isospin impurity of the Isobaric Analogue State of super-allowed beta decay experimental technique isospin impurity determination Bertram Blank, CEN Bordeaux-Gradignan ESNT, Saclay, April, 26-29, 2011

The idea: T, T z - 1 T-3/2, T z -3/2 T, T z Super-allowed  decay Proton emission T - 1, T z - 1 Gamma decay

The idea: 52 Co: T=2, T z =-1 51 Fe: T=1/2, T z =-1/2 52 Ni: T=2, T z= -2 Super-allowed  decay Proton emission: T=1/2, T z = -1/2 T= ½ + ½ T = 1, T z = -1 T = 2 Gamma decay Can one determine the isospin impurity of the IAS?

 Calcium: 37,36 Ca  Titanium: 41,40,39 Ti  Vanadium: 43 V  Chromium: 45,44,43,42 Cr  Manganese : 47,46 Mn  Iron: 49,48,47,46,45 Fe  Cobalt: 51,50 Co  Nickel: 53,52,51,50,49,48 Ni  Copper: 55 Cu  Zinc: 56,55,54 Zn Proton-rich nuclei in the region of Ca to Ni Mass region (20  Z  28 et Tz  -3/2)  5 experiments at GANIL  23 isotopes studied ( 39 Ti au 53 Ni) Mass region (20  Z  28 et Tz  -3/2)  5 experiments at GANIL  23 isotopes studied ( 39 Ti au 53 Ni)

Primary beam: MeV/A intensity:  Ae SISSI target: nat Ni 200 mg/cm 2 spectrometer LISE3 : degrader Be (50  m) Wien filter detection setup silicon telescope identification of implanted fragments DSSSD (X-Y): 2 x 16 x 3 mm - veto for light particles - residual energy, x-y position - energy loss - time of flight: micro-channel plate detectors RF cyclotron

Identification projectile fragments 7 to 8 identification parameters

Proton and gamma branching ratios and energies 41 Ti T B1B1 B2B2 A  41 Ti Radioactivity of 41 Ti Radioactivity of 49 Fe Correlation time Protons  41 Ti Contaminant from 49 Fe and 45 Cr

Background subtraction for  rays 49 Fe Before After Contaminants Decay of 49 Fe C. Dossat et al., NPA 792 (2007) 18

Spectroscopy of 52 Ni T 1/2 = (40.8 ± 0.2) ms P p = (31.4 ± 1.5) % E p = (2815 ± 23) keV I p = (0.9 ± 0.4) % E p = (1349 ± 10) keV I p = (9.4 ± 1.3) % E p = (1057 ± 11) keV I p = (2.9 ± 0.3) % C. Dossat et al., NPA 792 (2007) 18

Spectroscopy of 48 Fe T 1/2 = (40.8 ± 0.2) ms P p = (31.4 ± 1.5) % E p = (1013 ± 12) keV I p = (1.8 ± 0.3) % E p = ( ) keV I p = (1.4 ± 0.5) % E p = ( ) keV I p = (2.0 ± 0.4) % C. Dossat et al., NPA 792 (2007) 18

Isotop e Half-life (ms) Total proton branching ratio (%) Mass excess via IMME 37 Ca ± (43)- 36 Ca ± (10)- 41 Ti 82.6 ± (6) (7) 40 Ti 52.4 ± (13)-9.06(8) 39 Ti 28.5 ± (28)- 43 V 79.3 ± 2.4< Cr 60.9 ± (8) (3) 44 Cr 42.8 ± (9) (2) 43 Cr 21.1 ± (28)-1.92(6) 42 Cr 13.3 ± (50)- 47 Mn 88.0 ± 1.3< Mn 36.2 ± (8) (3) 49 Fe 64.7 ± (4) (2) 48 Fe 45.3 ± (6) (5) 47 Fe 21.9 ± (9)-7.08 (4) 46 Fe 13.0 ± (38)0.76 (10) 51 Co 68.8 ± 1.9< Co 38.8 ± (7) (4) 53 Ni 55.2 ± (10) (4) 52 Ni 40.8 ± (15) (3) 51 Ni 23.8 ± (8) (7) 50 Ni 18.5 ± (39)-4.14 (3) 49 Ni 7.5 ± (132)- 55 Cu 27.0 ± (43)- 56 Zn 30.0 ± (49)- 55 Zn 19.8 ± (51)-

 Proton emission from the IAS is isospin forbidden  Comparison of, and of for IAS : 48 Fe : = 2.1 % - = 30% = 42 % 52 Ni : = 10 % - = 38% = 64 %  Determination of isospin impurities with these experimental data: (experimental, theory)  ’ p : Coulomb and centrifugal barrier penetration S p = 1 Isospin impurities X

Isospin impurity: example of 48 Fe  = 2.1 %  = 42 %  I I = 0.52 % Measured energies (keV) Predicted energies (keV) E IAS 3037 (10)2979 E  (IAS – 1 + ) 2631 (1)2458 E  (2 + - ground state) (5)233 W.A. Richter, B.A. Brown IAS Shell model ( 48 Mn)

Isospin impurity: example of 52 Ni  = 10 %  = 64 %  I I = 19 % Measured energy (keV) Predicted energy (keV) E IAS 2931 (10)2796 Shell model ( 52 Co) IAS W.A. Richter, B.A. Brown

 neighboring nuclei: surprising…  however:  shell-model study : I I ( 36 Ca) = 0.4 %, I I ( 40 Ti) = 17.3 % (Theory Jyväskylä in sd shell)  similar treatment possible for many other nuclei: 45,44 Cr, 46 Mn, 49 Fe, 53,51 Ni…. I I ( 48 Fe) = 0.52 %, I I ( 52 Ni) = 19 % Isospin impurity of IAS B.A. Brown, N. Smirnova….