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A.V. Ramayya and J.H. Hamilton Vanderbilt University
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EXPERIMENTAL METHODS Lawrence Berkeley National Laboratory Gammasphere Detector Array with 101 Compton-suppressed Ge Detectors 252 Cf Source of 62 Ci is sandwitched between two iron foils. Total of 5.7x10 11 triple – and higher –fold coincidence events (in cube) Radware software package to analyze data Angular correlation of cascades of gamma rays.
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I1I1 I2I2 I3I3 1 (L 1 L 1 ) 2 (L 2 L 2 )
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If the intermediate state interacts with a magnetic field of sufficient strength for a sufficient length of time, then the experimentally observed correlation will be attenuated. Specifically, for a constant magnetic field, B, a nucleus with spin I and magnetic moment will precess about the direction of B with the Larmor precession frequency.
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mean precession angle, The Larmor Precession frequency, L B HF : nuclear hyperfine field : mean life time
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Detector response function 1.For a typical angular correlation measurement, it is necessary to calculate a solid angle correction Q k for each parameter A k. 2.However, for very low intensity transitions, the sensitivity of the angular correlation measurement can be improved by the detector response function R n (q, E1, E2). 3.For a given detector pair, the response function describes the distribution of possible angles about the central angle of the pair as a function of energy. The response functions for each pair can then be summed to find the response function of each angle bin.
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1.We calculate the response function using a simple Monte Carlo simulation, with the ray transport simulated up to the first collision. This is equivalent to the traditional calculation of Q k. 2.The mean free path, l(E), of -rays was calculated using the known Gammasphere detector properties. 3.The energy dependence of R n ( , E1, E2) is negligible, and so only R n ( ) was calculated.
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17 groups of 64 bins (1,2), (3,4,5,6), (7,8,9,10), (12,13,14,15), (16,17,18), (19,20,21,22,23), (24,25,26), (27,28,29), (30,31,32,33,34), (35,36,37), (38,39,40), (41,42,43,44,45), (46,47,48), (49,50,51,52), (54,55,56,57), (58,59,60,61), (62,63)
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t 1/2 =0.2 ps 462.8 keV 0+0+ 1435.8 keV 4+4+ 2+2+ 138 Ba A 2 (theory) = 0.102 A 4 (theory) = 0.0089
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Mixing ratios of I=1 transitions within a rotational band g R = ½(Z/A), g K : intrinsic g factor : Nilsson coefficients, g l =0, g s eff =-2.296 Ref.: S,G. Nilsson, Nat. Fys. Medd. Dan. Vis. Selsk., 29 (1955).
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138.3 9/2 - 5/2 - 95.3 7/2 - 13/2 - 11/2 - 390.6 283.2
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138.3 95.3 232.8 9/2 - 5/2 - 7/2 -
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150.2 5/2 + 7/2 + 9/2 - 166.6
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Nucleus Energy (keV) Configuration s (cal) (exp) 101 Zr 98.2 3/2[411] -0.13 -0.15(6) Q o =2.843/2[422]0.44 3/2[402]0.22
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NucleusEnergy (keV)Configurations (cal) (exp) 107 Mo152.15/2[413]0.79 Q o =3.095/2[402]-0.20 -1.0(7) 110.27/2[523]-0.16 -0.18(9) 103 Mo102.83/2[411]-0.15 -0.19(5) Q o =3.023/2[422]0.50 3/2[402]0.25 124.95/2[532]-0.15 -0.49 +14 -22 105 Mo95.35/2[532]-0.15 -0.12(3) Q o =3.06138.35/2[532]-0.17 -0.25(4)
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NucleusEnergy (keV) Configurations (cal) (exp) 109 Ru185.15/2[413]1.07 Q o =3.285/2[402]-0.26 -0.25(6) 222.75/2[413]0.98 5/2[402]-0.24 -0.35(10) 111 Ru150.25/2[413]0.85 Q o =3.325/2[402]-0.21 -0.32(2)
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Summary NucleusBandsPreviously assigned Conf. Present work 101 ZrGround band3/2[411]confirmed 103 MoGround band3/2[411]confirmed Excited band5/2[532]confirmed 105 MoGround band5/2[532]confirmed 107 MoGround band5/2[413]5/2[402] Excited band7/2[523]confirmed 109 RuGround band5/2[413] 5/2[402] 111 RuGround band5/2[413] 5/2[402]
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