coulomb excitation data analysis codes; gosia 2007 - Physics and ...

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5.19 OP,RAND (RANDOM ME)This option generates a set of random matrix elements which replaces the set defined previously for thecurrent job. Each matrix element in the random set is created assuming a uniform distribution of randomnumbers lying between the limits specified for each matrix element in the input to ME. This option is usedto eliminate bias in the analysis and to test the uniqueness of the least-squares fit toagivendatasetbyretrying the minimization starting from a number of sets of random matrix elements. If OP,RAND is usedit should immediately precede OP,YIEL.The input requires only one number:SEED: A floating-point seed number for the internal random number generator. SEED should be largerthan unity and less than 32000. Note that FORTRAN random number generators are reproducible,giving the same sequence of random numbers when called. Therefore SEED should be different forrepeated runs, otherwise the results will be identical.98
5.20 OP,RAW (RAW UNCORRECTED γ YIELDS)This option allows defining the γ-intensities for some, or all, experiments as “raw“, i.e. not detector efficiencycorrected.In addition, the raw γ intensities can be summed over a set of γ detectors. This feature is importantwhen analyzing data from multidetector arrays (crystal balls). Spectra from the γ detectors symmetric withrespect to the recoil direction, identically Doppler-shifted, can be added to increase statistics and to reducethe number of datasets to be processed (such sets of data will be referred to as “clusters“). GOSIA can handlesuch data provided that the efficiency calibration of the individual detectors is input. This information shouldbe given using OP,RAW and should be executed if at least one experiment involves raw data or clusters.OP,RAW should immediately follow OP,YIEL (5.30). If OP,RAW is to be used, the first entry of OP,GDET(5.10) should be negative to produce the additional file, TAPE8, required by OP,RAW. Do not use OP,RAWif all γ intensities are efficiency-corrected.Energy-dependent efficiency calibration for each individual γ detector is assumed to follow the functionalform used by the code GREMLIN (see Chapter 12).The input to OP,RAW is as follows:IEXP Number of experiment to be labeled as raw (according to the sequence of CONT suboption EXPT).A1, A2,....A8 Logical detector 1A1, A2,....A8 Logical detector 2··A1, A2,...A8 Parametrization of efficiency curves for all γ detectorsusedintheexperimentIEXP. ParametersA1 through A8 correspond to a 0 ,a 1 ,a 2 ,a 3 ,f,N,b,c,asdefined in GREMLIN. See Chapter12. Use f =0 to switch off the F factor and c =0 to switch off the W factor These sets of parametersshould be ordered according to the sequence of “logical“ γ detectors, as definedinOP,YIEL(IV.30) input. The Doppler .shift of the γ energies is taken into account when evaluating the detectionefficiencyNCNumber of clusters.ID1 Number of γ detectors for cluster #1.I1, I2...I(ID1) Indices of “logical“ detectors forming cluster #1, according to the sequence defined inOP,YIEL.·0 IEXP=0 ends input.The sequence ID1... obviously should be repeated NC times to define every cluster, unless NC =0(no clusters). The whole input is to be defined for every raw experiment. The use of OP,RAW imposes animportant constraint on how the experimental γ yields should be ordered in either TAPE3 or TAPE4. Thesequence of γ yields data sets should follow the HIGHEST “logical“ detector index within a cluster. Singledetectors can be handled as if they were one-detector clusters, without labeling them as clusters.Example:Three γ detectors were used and the γ-ray spectra from the detectors labeled 1 and 3 in OP,YIELassignment were added. In this case there are two clusters, namely composite detector 1+3 and singledetector 2. The input to OP,RAW should then be as follows:99
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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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Ã 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
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with the reduced matrix element M c
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q (20)s (0 + → 2 + ) · M 1 ζ (2
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esults of minimization and error ru
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adjustment of the stepsize accordin
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approximation reliability improves
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Zd 2 σ(I → I f )Y (I → I f )=s
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4.5 MinimizationThe minimization, i
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X(CC k Yk c − Yk e ) 2 /σ 2 k =m
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
Page 67 and 68: CODE DEFAULT OTHER CONSEQUENCES OF
Page 69 and 70: 5.4 OP,CORR (CORRECT )This executio
Page 71 and 72: 5.6 OP,ERRO (ERRORS)ThemoduleofGOSI
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
Page 79 and 80: 5.12 OP,INTG (INTEGRATE)This comman
Page 81 and 82: ¡ dE¢dx1 ..¡ dEdx¢Stopping powe
Page 83 and 84: NI1, NI2 Number of subdivisions of
Page 85 and 86: 5.13 LEVE (LEVELS)Mandatory subopti
Page 87 and 88: 5.15 ME (OP,COUL)Mandatory suboptio
Page 89 and 90: Figure 10: Model system having 4 st
Page 91 and 92: ME =< INDEX2||E(M)λ||INDEX1 > The
Page 93 and 94: When entering matrix elements in th
Page 95 and 96: There are no restrictions concernin
Page 97: 5.18 OP,POIN (POINT CALCULATION)Thi
Page 101 and 102: 5.21 OP,RE,A (RELEASE,A)This option
Page 103 and 104: 5.25 OP,SIXJ (SIXJ SYMBOL)This stan
Page 105 and 106: 5.27 OP,THEO (COLLECTIVE MODEL ME)C
Page 107 and 108: 2,5,1,-2,23,5,1,-2,23,6,1,-2,2Matri
Page 109 and 110: 5.29 OP,TROU (TROUBLE)This troubles
Page 111 and 112: to that of the previous experiment,
Page 113 and 114: To reduce the unnecessary input, on
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 ×¯h¾
Page 123 and 124: The expectation value of cos3δ can
Page 125 and 126: where ē is an arbitratry vector. D
Page 127 and 128: achieved using “mixed“ calculat
Page 129 and 130: TAPE9 Contains the parameters neede
Page 131 and 132: TAPE18 Input file, containing the i
Page 133 and 134: 7.4.4 CALCULATION OF THE INTEGRATED
Page 135 and 136: OP,EXITInput: TAPE4,TAPE7,TAPE9Outp
Page 137 and 138: OP,ERRO0,MS,MEND,1,0,RMAXand the fi
Page 139 and 140: 8 SIMULTANEOUS COULOMB EXCITATION:
Page 141 and 142: 4, 3, 1kr88.corKr corrected yields
Page 143 and 144: 0 Correction for in-flight decay ch
Page 145 and 146: OP, ERRO Estimation of errors of fi
Page 147 and 148: 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
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