5,4,634,650,46.000,50.000634,638,642,646,65045.,47.,49.,515,5,634,650,50.000,52.000634,638,642,646,65049.,50.,51.,52.,535,5,634,650,52.000,54.000634,638,642,646,65051.,52.,53.,54.,555,5,634,650,54.000,56.000634,638,642,646,65053.,54.,55.,56.,575,5,634,650,56.000,58.000634,638,642,646,65055.,56.,57.,58.,595,5,634,650,58.000,60.000634,638,642,646,65057.,58.,59.,60.,615,5,634,650,60.000,62.000634,638,642,646,65059.,60.,61.,62.,635,5,634,650,62.000,64.000634,638,642,646,65061.,62.,63.,64.,655,5,634,650,64.000,66.000634,638,642,646,65063.,64.,65.,66.,675,5,634,650,66.000,68.000634,638,642,646,65065.,66.,67.,68.,695,5,634,650,68.000,70.000634,638,642,646,65067.,68.,69.,70.,715,5,634,650,70.000,72.000634,638,642,646,65069.,70.,71.,72.,735,5,634,650,72.000,74.000634,638,642,646,65071.,72.,73.,74.,755,5,634,650,74.000,76.000634,638,642,646,65073.,74.,75.,76.,775,5,634,650,76.000,78.000634,638,642,646,65075.,76.,77.,78.,795,5,634,650,78.000,80.000634,638,642,646,65077.,78.,79.,80.,815,5,634,650,80.000,82.000634,638,642,646,65079.,80.,81.,82.,83NE=5 beam-energy meshpoints will begiven, followed by NT=5 polar scatteringangle meshpoints for the integration.The beam energy interval E min = 634 toE max = 650 MeV together with stoppingpower <strong>data</strong> below define target thickness.The (polar) scattering angle range of thedetected(!) particle. (The format isdifferent for the circular detector option.)Energy meshpoints E 1 ,E 2 ... for theintegration. The range of meshpoints mustequal or exceed the beam energy interval.Polar projectile scattering angle meshpointsθ 1 ,θ 2 ... for the integration must equal orexceed the scattering angle range of thedetected particle. The implicit positive signof these angles is a flag indicating that theprojectile is detected. Note that these arealways(!) entered as projectile scatteringangles. If the recoiling target nucleus isdetected, or the circular detector option isused, refer to section 5.12 for theappropriate format.Optionally, this record could be set to “-5”to indicate that the shape of the detectorwill be defined by the user (section 5.12).OP,INTG calculates the integrated gammarayyields. There are a number of flags <strong>and</strong>optional records, which can be used toindicate the detected particle, the detectorgeometry, etc. The example given is for asimple annular particle detector whose <strong>data</strong>are separated by polar scattering angle into27 <strong>data</strong> sets, but more complicated detectorshapes can be defined. Refer to section5.12 for details. When OP,INTG isfollowed by OP,CORR as in this example,GOSIA writes correction factors to tape 4(the file “g1demo.cor” as defined above inOP,FILE), which are used for the fast pointapproximations during the chi-squared fit.176
5,5,634,650,82.000,84.000634,638,642,646,65081.,82.,83.,84.,855,5,634,650,84.000,86.000634,638,642,646,65083.,84.,85.,86.,875,5,634,650,86.000,88.000634,638,642,646,65085.,86.,87.,88.,895,5,634,650,88.000,90.000634,638,642,646,65087.,88.,89.,90.,914625,635,645,65532.395,32.401,32.404,32.40410,10010,10010,10010,10 NP = 0: The stopping power0 <strong>data</strong> for experiment# 2 will betaken from the previous10,10experiment (#1).010,10010,10010,10010,10010,10010,10010,10010,10010,10010,10010,10010,10010,100These entries are repeated foreach experiment. This groupcorresponds to experiment 27.NP = 4 values of stopping powerdE/dx will be entered.The beam energies [MeV] of the fourstopping powers.The stopping power of Xe-136 in Hf-178 is 32.401 MeV/(mg/cm 2 ) at 635MeV.Experiment #1 will be integratedusing NI 1 =10 subdivisions in thebeam energy meshpoints <strong>and</strong> NI 2 =10subdivisions in the scattering anglemeshpoints (second). NI 1 <strong>and</strong> NI 2must be even. If NT (above) isnegative then NI 2 must be negative(<strong>and</strong> even!) as well, <strong>and</strong> this line isfollowed by φ intervals (section5.12).These records are repeated for allexperiments.177
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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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- Page 127 and 128: achieved using “mixed“ calculat
- Page 129 and 130: TAPE9 Contains the parameters neede
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- 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
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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
- Page 171 and 172: 4,-4, -3.705, 3,44,5, 4.626, 3.,7.5
- Page 173 and 174: 90145901459014590145901459014590145
- Page 175: .10.028921.10.026031.10.023431.10.0
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- Page 181 and 182: *** CHISQ= 0.134003E+01 ***MATRIX E
- Page 183 and 184: CALCULATED AND EXPERIMENTAL YIELDS
- Page 185 and 186: 11.7 Annotated excerpt from a Coulo
- Page 187 and 188: 11.8 Accuracy and speed of calculat
- Page 189 and 190: 18,10.056,0.068,0.082,0.1,0.12,0.15
- 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