GT (  ) : Important weak process  decay : absolute B(GT), limited to low-lying state CE reactions : relative B(GT), highly Ex region  decay  isospin.

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Presentation transcript:

GT (  ) : Important weak process  decay : absolute B(GT), limited to low-lying state CE reactions : relative B(GT), highly Ex region  decay  isospin symmetry  CE reaction High-resolution ( 3 He,t) CE reaction and analogous  -decay for the study of GT strengths Yoshitaka FUJITA (Osaka Spin 2006 / Oct. 02, 2006

Supernova Cycle

mainly by  K.L &G.M-P Rev.Mod.Phys.75(’04)819 (A,Z)=nuclei in the Cr, Mn, Fe, Co, Ni region pf -shell Nuclei ! Crucial Weak Processes during the Core Collapse

58 Ni(p, n) 58 Cu E p = 160 MeV 58 Ni( 3 He, t) 58 Cu E = 140 MeV/u Counts Excitation Energy (MeV) Comparison of (p, n) and ( 3 He,t) spectra Y. Fujita et al., EPJ A 13 (’02) 411. H. Fujita et al., Dr. Th. & PRC

Grand Raiden Spectrometer Large Angle Spectrometer 3 He beam ( 3 He, t) reaction

RCNP Ring Cyclotron Good quality 3 He beam (140 MeV/nucleon)

Matching Techniques

B(GT) derivation

**Isospin Symmetry Structure in Mass A Nuclei (Isobars)

T=1 system Mg 14 A=26 system Coulomb Energy: important Al Si 12

26 Mg Z=12, N=14 26 Al Z=13, N=13 26 Si Z=14, N=12 T=1 symmetry : Structures & Transitions

B(GT) values from Symmetry Transitions (A=26) Y. Fujita et al., PRC 67 (‘03)

Supernova and Neutron Star

High resolution 54 Fe( 3 He,t) spectrum T. Adachi et al. Target nuclei under study : T 0 =1 46 Ti, 50 Cr, 54 Fe, 58 Ni T 0 =2 48 Ti, 52 Cr, 56 Fe, 60 Ni T 0 =3 50 Ti, 62 Ni T 0 =4 64 Ni

**Derivation of “absolute” B(GT) values

26 Mg Z=12, N=14 26 Al Z=13, N=13 26 Si Z=14, N=12 23 Na Z=11, N=12 23 Mg Z=12, N=11 T=1 symmetry Connection between Charge Exchange &  decay T=1/2 symmetry 0 +  1 +

26 Mg Z=12, N=14 26 Al Z=13, N=13 26 Si Z=14, N=12 23 Na Z=11, N=12 23 Mg Z=12, N=11 T=1 symmetry Connection between Charge Exchange &  decay T=1/2 symmetry 0 +  1 + not enough  -decay data not for Ti, Cr, Fe region

Mirror nuclei 46 Ti 50 Cr 54 Fe 50 Fe 54 Ni 46 Cr ß+ ( 3 He,t) N=Z T=1 Isospin Symmetry in pf-shell Nuclei Ni Fe 28 T z =0 T z =1 T z =-1 Leuven Valencia Surrey Osaka by B. Rubio

Isospin Symmetry Transitions: 50 Cr( 3 He,t)  50 Mn   -decay 50 Fe Q EC =8.152(61) MeV T 1/2 =0.155(11) s (Z,N)=(24,26)(25,25)(26,24)

50 Cr( 3 He,t) 50 Mn

50 Fe  -decay measurement 50 Fe  + decay 0 + Q EC =8.152(61) MeV T 1/2 =0.155(11) s

**Reconstruction of  decay from ( 3 He,t) ---assuming isospin symmetry ---

Simulation of  -decay spectrum  -decay feeding ratios are deduced !

Absolute B(GT) values -via reconstruction of  -decay spectrum-  -decay experiment T 1/2 =0.155(11) s New value B(GT)=0.50(13) *20% smaller than the  -decay: 0.60(16) Absolute intensity: B(GT) Y. Fujita et al. PRL 95 (2005) B(F)=N-Z Relative feeding intensity from ( 3 He,t) t i =partial half-life

Mirror nuclei 46 Ti 50 Cr 54 Fe 50 Fe 54 Ni 46 Cr ß+ ( 3 He,t) N=Z T=1 Isospin Symmetry in pf-shell Nuclei Ni Fe 28 T z =0 T z =1 T z =-1 Leuven Valencia Surrey Osaka by B. Rubio

Mirror nuclei 48V48V 52 Mn 56 Co 50 Co 56 Cu 48 Mn ++ ( 3 He,t) N=Z T = 2 Isospin Symmetry in pf-shell Nuclei Ni Cr 28 T z =0 T z =1 T z =-1 52 Ni T z =2 T z =-2 52 Cr 48 Cr 52 Fe 56 Ni 56 Fe 56 Zn 48 Ti 48 Fe B. Rubio, Y. Fujita

Mirror nuclei 48V48V 52 Mn 56 Co 50 Co 56 Cu 48 Mn ++ ( 3 He,t) N=Z T = 2 Isospin Symmetry in pf-shell Nuclei Ni Cr 28 T z =0 T z =1 T z =-1 52 Ni T z =2 T z =-2 52 Cr 48 Cr 52 Fe 56 Ni 56 Fe 56 Zn 48 Ti 48 Fe B. Rubio, Y. Fujita Even T 1/2 ’s are uncertain!

Comparison: (p, n) and ( 3 He,t) IAS g.s. 52 Cr(p, n) 52 Mn Ep =120 MeV

 -decay Half-life T 1/2 -via reconstruction of  -decay spectrum- abs. B(GT) distribution from ( 3 He,t) B(F)=N-Z

52 Ni  -decay Half-life T1/2  -decay exp. (PRC 49, 2440, ‘94) T 1/2 = 38 (5) ms (total proton counts: ~160) abs. B(GT) distribution from 52 Cr( 3 He,t) Q EC = MeV B(F)=N-Z Isospin symmetry estimation T 1/2 = 56 (10) ms SM cal. (PRC 57, 2316, ’98) T 1/2 = 50 ms Mass formula (T. Tachibana et al.) T 1/2 = 35 ms

Summary * Isospin Symmetry was introduced * High resolution of the ( 3 He,t) reaction allowed the comparison of analogous transitions * Properties of proton-rich “far-stability nuclei” is deduced by the combined analysis of  -decay and ( 3 He,t) reaction --- B(GT), Half-life T 1/2 ---