• When the level scheme (LEVE) or matrix elements (ME) are changed, the following items shouldbe checked. The transition energies <strong>and</strong> multipolarities defined in LEVE <strong>and</strong> ME require internalconversion coefficients in OP,YIEL which cover the range of transition energies for each multipolarityintroduced in ME. Note that the level energies are entered in MeV, not keV.• Changes that affect the kinematics (projectile or target species, beam energy, target thickness, scatteringangle ranges, etc.) should be checked for consistency in the EXPT, OP,YIEL <strong>and</strong> OP,INTGsections. Pay special attention to the selection of the detected particle <strong>and</strong> whether the projectile scatteringor target recoil angles are being specified in each section, as well as the accompanying kinematicflags (minus signs). Target thickness is specified indirectly through a range of beam energy <strong>and</strong> stoppingpower <strong>data</strong>. Stopping powers may need to be updated when the beam energy range is changed,or when the beam or target species is modified.• If one experiment (EXPT) is normalized to another, relative particle-detector normalization constantsmust be entered in OP,YIEL. Inaccuracies in these normalizations will not affect the yield integration(OP,INTG), but they will cause problems in finding the true chi-squared minimum (OP,MINI).The safest approach to avoid introducing errors is to make changes to the input in the smallest possibleincrements, running the code frequently to check for problems. The following troubleshooting notes may behelpful.• Pay special attention to commas <strong>and</strong> periods; interchanging one for the other causes errors that aredifficult to spot.• Check the auxiliary files created by GOSIA. Occasionally, an overflow will result in “INF” (infinity) or“NaN” (not a number) being written into a file such as TAPE 4 (the correction factor file). This maycause problems later, when GOSIA re-reads the file.• GOSIA will tolerate comments on some lines in the input (after the required fields), but not on others.Putting comments on the wrong line could cause read errors. Refer to the examples in the sampleinputs. When in doubt, do not insert a comment.• If an error occurs when GOSIA reads the input file,itmaybehelpfultoinsertOP,EXIT(tohaltexecution) immediately before another “OP,” comm<strong>and</strong> in the input <strong>and</strong> run it again to determinewhich section contains the problem.• Many integers that are entered in the input file (<strong>and</strong> in TAPE 3, experimental gamma-ray yields)determine the number of records <strong>and</strong> fields to follow, or the number of corresponding records in a latersection. Errors are frequently caused by inconsistencies in these numbers <strong>and</strong> may be indicated bymessagessuchas“UNRECOGNIZEDSUBOPTION,”or Fortran read errors. If errors are suspectedto be caused by a mismatch in the number of records <strong>and</strong> can not be found by a cursory inspection, itis often helpful to check each line of the input, comparing it to the corresponding manual entry.The following is an example of the above type of error. The execution terminates with this error:invalid integer: read unexpected characterapparent state: unit 5 (unnamed)last format: list iolately reading sequential formatted external IAbortThis is a Fortran (system) error that is not trapped by GOSIA, so the location of the problem is not specified.Running the input again with OP,EXIT inserted immediately after OP,YIEL to halt the execution results inthe same error, but inserting OP,EXIT just before OP,YIEL prevents the error. Hence, the error is somehowrelated to OP,YIEL. The beginning of OP,YIEL looks like this:OP,YIEL0188
18,10.056,0.068,0.082,0.1,0.12,0.15,0.18,0.22,0.26,0.32,0.38,0.46,0.56,0.68,0.82,1.0,1.2,1.5241.7,17.6,7.97,3.58,1.78,0.785,0.415,0.212,0.124,0.0660,0.04,0.0241,0.0148,0.00939,0.00623,0.00413,0.00288,0.001881,114590The EXPT section defines 3 experiments:EXPT3,72,17854,136,642,24.0,4,0,0,0,360,1,154,136,642,42.0,4,0,0,0,360,1,154,136,642,60.0,4,0,0,0,360,1,1However, line 8 in OP,YIEL “1,1” contains only 2 values of NANG(I), but the entry for NANG(I) In section5.30 of this manual states that NANG(I) needs to be entered once for each experiment. Line 8 needs to becorrected; in this case a third value should be added to specify the number of gamma-ray detectors for thethird experiment. The rest of OP,YIEL should be checked for similar omissions. Stubborn errors can befound most efficiently by checking line-by-line against the required format in the manual.189
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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
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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
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However, estimation of the stepsize
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It can be shown that as long as the
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een exceeded; third, the user-given
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where f k stands for the functional
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x i + δx i Rx iexp ¡ − 1 2 χ2
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method used for the minimization, i
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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
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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
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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 ׯh¾
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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
- Page 137 and 138: OP,ERRO0,MS,MEND,1,0,RMAXand the fi
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- 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
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- Page 149 and 150: configurations with a probability e
- Page 151 and 152: The average range covered by each m
- Page 153 and 154: SFX,NTOTI1(1),I2(1),RSIGN(1)I1(2),I
- Page 155 and 156: 11.2 LearningtoWriteGosiaInputsThe
- Page 157 and 158: (1.6 MeV)1.1 MeV0.75 MeV0.4 MeV0.08
- Page 159 and 160: Define the germaniumdetector geomet
- Page 161 and 162: Figure 15: Flow diagram for Gosia m
- Page 163 and 164: gosia < 2-make-correction-factors.i
- Page 165 and 166: Issue the commandgosia < 9-diag-err
- Page 167 and 168: At this point, it is suggested to c
- Page 169 and 170: calculation.) In this case, a copy
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- Page 173 and 174: 90145901459014590145901459014590145
- Page 175 and 176: .10.028921.10.026031.10.023431.10.0
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- Page 181 and 182: *** CHISQ= 0.134003E+01 ***MATRIX E
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- Page 185 and 186: 11.7 Annotated excerpt from a Coulo
- Page 187: 11.8 Accuracy and speed of calculat
- Page 191 and 192: line 152 Eu 182 Tanumber (keV) (keV
- Page 193 and 194: 1.6 Normalization between data sets
- Page 195 and 196: 13 GOSIA 2007 RELEASE NOTESThese no
- Page 197 and 198: Matrix elements 500(April 1990, T.
- Page 199 and 200: 14 GOSIA Manual UpdatesDATE UPDATE2
- Page 201 and 202: [KIB08]T.Kibédi,T.W.Burrows,M.B.Tr