1-16.0,16.02-15.0,-2.0,2.0,15.02-14.5,-9.0,9.0,14.52-13.75,-13.0,13.0,13.754 NP625,635,645,655 E 1 ,E 2 ,E 3 ,E NP32.395,32.401,32.404,32.404 (dE/dx) 1 ,...10,-18 NI1,-NI24.,16.25,24.5,31.25,37.5,36.9,36.25,35.6,35,34.1,33.25,32.6,31.9,29.2,26.5,18.5,11.2,5.7,1.5The last two lines contain the NI2+1=19values of ∆φ for θ =20.0 ◦ to 60.0 ◦ . These correspond tothe θ values 20.0 ◦ , 22.0 ◦ , 24. ◦ ,... in Figure 9.The circular detector option (CONT CRD,) incorporates a feature to calculate automatically theazimuthal angular range ∆φ at each subdivision of scattering angle θ. Consequently, do not input ∆φvalues when using the circular detector option.The integration-related portion of the input must be repeated for each experiment defined in EXPT.It is recommended to use as small a number of meshpoints as possible because the full Coulomb <strong>excitation</strong>calculations performed at the meshpoints are time-consuming. In many cases the required accuracycan be achieved by requesting a large number of subdivisions between the meshpoints, the values insubdivision points being found by fast interpolation.5.12.2 CIRCULAR DETECTOR OPTIONThe input for a given experiment differs slightly if the circular detector option is selected. This option isactivated by the flag CRD, in the CONT suboption of either OP,COUL or OP,GOSI. For such experimentsthe input to OP,INTG is as follows:NE, NT, E min , E max , θ, φ, θ 1/2 In this case θ <strong>and</strong> φ are the angular coordinates of the center of acircular particle detector subtending the half-angle θ 1/2 . The remaining entries are identical to theones described in the previous section.E 1 , E 2 , ..., E NE The energy meshpoints for the full Coulomb <strong>excitation</strong> calculation, analogous to thosedescribed in the previous section.The above input is used in the first stage, that is, in the meshpoint calculation. When using arrays ofPIN diodes follow the instructions described in the instructions in CONT; switch PIN.The input of the second stage, that is, the integration section, should look as follows:NPNumber of stopping powers to be input.E 1 , E 2 , ..., E NP Energy meshpoints for the stopping powers in MeV. (dE/dx) 1,...,(dE/dx) NP The valuesof the stopping powers, analogous to the normal input. If NP =0 the values of this table will bethose from the previous experiment.82
NI1, NI2 Number of subdivisions of energy (NI1) <strong>and</strong> projectile scattering angle (NI2) usedduringthe integration. Both shall be even numbers <strong>and</strong> shall not exceed 100 <strong>and</strong> 50 respectively.5.12.3 SUMMARY OF INPUT TO OP,INTG - NORMAL INPUTOP,INTGNE,NT,E min ,E max ,θ min ,θ maxE 1 ,E 2 ,...,E NE±θ 1 , ±θ 2 , ..., ±θ NTNFIφ 1 ,φ 2 , ..., φ 2NFI−1 ,φ 2NFIThis portion of input is to be entered for each experiment defined in EXPT, unless the axial symmetryor circular detector option have been used.NPE 1 ,E 2 ,...,E NP(dE/dx) 1, (dE/dx) 2, ..., (dE/dx) NPNI1, ± NI2∆φ 1 , ∆φ 2 , ..., ∆φ |NI2|+1This portion of the input again must be given for each experiment.5.12.4 SUMMARYOFINPUTTOOP,INTG-CIRCULARDETECTOROPTIONOP,INTGNE,NT,E min ,E max ,θ,φ,θ 1/2E 1 ,E 2 ,...,E NEThis input should be defined in the part of the input related to the calculation of the meshpoints. Theremainder, listed below, should be included in the integration-related section.NPE 1 ,E 2 , ..., E NP(dE/dx) 1, (dE/dx) 2 , ..., (dE/dx) NPNI1,NI283
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COULOMB EXCITATION DATA ANALYSIS CO
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10 MINIMIZATION BY SIMULATED ANNEAL
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1 INTRODUCTION1.1 Gosia suite of Co
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104 Ru, 110 Pd, 165 Ho, 166 Er, 186
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Figure 1: Coordinate system used to
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Cλ E =1.116547 · (13.889122) λ (
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Figure 2: The orbital integrals R 2
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2.2 Gamma Decay Following Electroma
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where :d 2 σ= σ R (θ p ) X R kχ
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Formula 2.49 is valid only for t mu
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à XK(α) =exp−iτ i (E γ )x i (
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important to have an accurate knowl
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3 APPROXIMATE EVALUATION OF EXCITAT
- Page 31 and 32: with the reduced matrix element M c
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- Page 39 and 40: approximation reliability improves
- Page 41 and 42: Zd 2 σ(I → I f )Y (I → I f )=s
- Page 43 and 44: 4.5 MinimizationThe minimization, i
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- Page 47 and 48: However, estimation of the stepsize
- Page 49 and 50: It can be shown that as long as the
- Page 51 and 52: een exceeded; third, the user-given
- Page 53 and 54: where f k stands for the functional
- Page 55 and 56: x i + δx i Rx iexp ¡ − 1 2 χ2
- Page 57 and 58: method used for the minimization, i
- Page 59 and 60: OP,ERRO (ERRORS) (5.6):Activates th
- Page 61 and 62: -----OP,SIXJ (SIX-j SYMBOL) (5.25):
- Page 63 and 64: 5.3 CONT (CONTROL)This suboption of
- Page 65 and 66: I,I1 Ranges of matrix elements to b
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- Page 73 and 74: 5.7 OP,EXIT (EXIT)This option cause
- Page 75 and 76: M AControls the number of magnetic
- Page 77 and 78: 5.10 OP,GDET (GE DETECTORS)This opt
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- Page 89 and 90: Figure 10: Model system having 4 st
- Page 91 and 92: ME =< INDEX2||E(M)λ||INDEX1 > The
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- Page 107 and 108: 2,5,1,-2,23,5,1,-2,23,6,1,-2,2Matri
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- Page 115 and 116: OP,STAR or OP,POIN under OP,GOSI. N
- Page 117 and 118: 5.31 INPUT OF EXPERIMENTAL γ-RAY Y
- Page 119 and 120: 6 QUADRUPOLE ROTATION INVARIANTS -
- Page 121 and 122: *½P 5 (J) = s(E2 × E2) J ׯh¾
- Page 123 and 124: The expectation value of cos3δ can
- Page 125 and 126: where ē is an arbitratry vector. D
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7.4.4 CALCULATION OF THE INTEGRATED
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OP,EXITInput: TAPE4,TAPE7,TAPE9Outp
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OP,ERRO0,MS,MEND,1,0,RMAXand the fi
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8 SIMULTANEOUS COULOMB EXCITATION:
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4, 3, 1kr88.corKr corrected yields
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0 Correction for in-flight decay ch
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OP, ERRO Estimation of errors of fi
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9 COULOMB EXCITATION OF ISOMERIC ST
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configurations with a probability e
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The average range covered by each m
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SFX,NTOTI1(1),I2(1),RSIGN(1)I1(2),I
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11.2 LearningtoWriteGosiaInputsThe
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(1.6 MeV)1.1 MeV0.75 MeV0.4 MeV0.08
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Define the germaniumdetector geomet
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Figure 15: Flow diagram for Gosia m
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gosia < 2-make-correction-factors.i
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Issue the commandgosia < 9-diag-err
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At this point, it is suggested to c
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calculation.) In this case, a copy
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4,-4, -3.705, 3,44,5, 4.626, 3.,7.5
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90145901459014590145901459014590145
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.10.028921.10.026031.10.023431.10.0
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5,5,634,650,82.000,84.000634,638,64
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***********************************
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*** CHISQ= 0.134003E+01 ***MATRIX E
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CALCULATED AND EXPERIMENTAL YIELDS
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11.7 Annotated excerpt from a Coulo
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11.8 Accuracy and speed of calculat
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18,10.056,0.068,0.082,0.1,0.12,0.15
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line 152 Eu 182 Tanumber (keV) (keV
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1.6 Normalization between data sets
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13 GOSIA 2007 RELEASE NOTESThese no
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Matrix elements 500(April 1990, T.
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14 GOSIA Manual UpdatesDATE UPDATE2
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[KIB08]T.Kibédi,T.W.Burrows,M.B.Tr