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

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10 MINIMIZATION BY SIMULATED ANNEALING 14810.1TheDevelopmentofSimulatedAnnealing .............................14810.2ImplementationofSAinGOSIA ..................................15010.3 Input parameters for OP,ANNL ...................................15211 LEARNING GOSIA 15411.1 Compiling GOSIA 2007 .......................................15411.2LearningtoWriteGosiaInputs...................................15511.3 Tutorial 1: Gosia basic flowsequence................................15611.3.1 Simulation ..........................................15611.3.2 FittingMatrixElementstoGamma-RayYieldData ...................16011.4Tutorial2:AFittoManyMatrixElements............................16511.5 Annotated GOSIA input g1demo.inp ................................17011.6 Annotated output from a chi-squared (OP,MINI) fit .......................17911.7AnnotatedexcerptfromaCoulombexcitationyieldcalculations(OP,INTG)..........18511.8Accuracyandspeedofcalculations.................................18711.9TroubleshootingGOSIAinputs ...................................18712 GAMMA DETECTION EFFICIENCY CODE: GREMLIN 19012.1Option1:EFFICIENCYCALIBRATION ............................19012.2Option2:INTENSITYCALCULATION .............................19313 GOSIA 2007 RELEASE NOTES 19514 GOSIA Manual Updates 1994
DEDICATIONTomasz Czosnyka 1952 - 2006This GOSIA manual is dedicated to Tomasz Czosnyka who played a pivotal role in the development ofthe GOSIA code. Tomasz was a brilliant scientist with tremendous drive, dedication and effectiveness. Hiswork led to pioneering advances in the field of Coulomb excitation. His Ph.D. thesis developed sophisticatedtechniques that solved a problem that many in the field claimed as impossible when started in 1979. Thisimportant development now forms the foundation of modern multiple Coulomb excitation that will continueto play a major role in nuclear physics research at the new radioactive beam facilities now in operation orunder construction. Tomasz was a generous, thoughtful friend and colleague with a warm, casual style, anda great sense of humor. Even though Tomasz is no longer with us in person, he is with us in spirit and wecontinue to hold him in much esteem and affection. The legacy of his achievements in nuclear science willendure for a long time. {Douglas Cline}5
Page 1: COULOMB EXCITATION DATA ANALYSIS CO
Page 6 and 7: 1 INTRODUCTION1.1 Gosia suite of Co
Page 8 and 9: 104 Ru, 110 Pd, 165 Ho, 166 Er, 186
Page 13 and 14: Figure 1: Coordinate system used to
Page 15 and 16: Cλ E =1.116547 · (13.889122) λ (
Page 17 and 18: Figure 2: The orbital integrals R 2
Page 19 and 20: 2.2 Gamma Decay Following Electroma
Page 21 and 22: where :d 2 σ= σ R (θ p ) X R kχ
Page 23 and 24: Formula 2.49 is valid only for t mu
Page 25 and 26: Ã XK(α) =exp−iτ i (E γ )x i (
Page 27 and 28: important to have an accurate knowl
Page 29 and 30: 3 APPROXIMATE EVALUATION OF EXCITAT
Page 31 and 32: with the reduced matrix element M c
Page 33 and 34: q (20)s (0 + → 2 + ) · M 1 ζ (2
Page 35 and 36: esults of minimization and error ru
Page 37 and 38: adjustment of the stepsize accordin
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
Page 45 and 46: 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
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-----OP,SIXJ (SIX-j SYMBOL) (5.25):
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5.3 CONT (CONTROL)This suboption of
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I,I1 Ranges of matrix elements to b
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CODE DEFAULT OTHER CONSEQUENCES OF
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5.4 OP,CORR (CORRECT )This executio
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5.6 OP,ERRO (ERRORS)ThemoduleofGOSI
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5.7 OP,EXIT (EXIT)This option cause
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M AControls the number of magnetic
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5.10 OP,GDET (GE DETECTORS)This opt
Page 79 and 80:
5.12 OP,INTG (INTEGRATE)This comman
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¡ dE¢dx1 ..¡ dEdx¢Stopping powe
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NI1, NI2 Number of subdivisions of
Page 85 and 86:
5.13 LEVE (LEVELS)Mandatory subopti
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5.15 ME (OP,COUL)Mandatory suboptio
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Figure 10: Model system having 4 st
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ME =< INDEX2||E(M)λ||INDEX1 > The
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When entering matrix elements in th
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There are no restrictions concernin
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5.18 OP,POIN (POINT CALCULATION)Thi
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5.20 OP,RAW (RAW UNCORRECTED γ YIE
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5.21 OP,RE,A (RELEASE,A)This option
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5.25 OP,SIXJ (SIXJ SYMBOL)This stan
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5.27 OP,THEO (COLLECTIVE MODEL ME)C
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2,5,1,-2,23,5,1,-2,23,6,1,-2,2Matri
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5.29 OP,TROU (TROUBLE)This troubles
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to that of the previous experiment,
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To reduce the unnecessary input, on
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OP,STAR or OP,POIN under OP,GOSI. N
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5.31 INPUT OF EXPERIMENTAL γ-RAY Y
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6 QUADRUPOLE ROTATION INVARIANTS -
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*½P 5 (J) = s(E2 × E2) J ×¯h¾
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The expectation value of cos3δ can
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where ē is an arbitratry vector. D
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achieved using “mixed“ calculat
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TAPE9 Contains the parameters neede
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TAPE18 Input file, containing the i
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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
Page 179 and 180:
***********************************
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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
Page 197 and 198:
Matrix elements 500(April 1990, T.
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14 GOSIA Manual UpdatesDATE UPDATE2
Page 201 and 202:
[KIB08]T.Kibédi,T.W.Burrows,M.B.Tr
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