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

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.10.626331.10.417631.10.291841.10.211341.10.157521.10.120071.10.098891.10.087491.10.077611.10.069081.10.061631.10.055101.10.049361.10.044271.10.039741.10.035731.10.032131These three records, NDST, UPL and YNRM, determine thefollowing for experiment #3. There is one data set (usually,but not always equal to the number of gamma detectors enteredabove). Any unobserved yield calculated to be greater than0.1×Y 5→4 will enter the chi-squared statistic. Thenormalization constant with respect to experiment #1 is0.41763. These records continue for each experiment with apositive value of NANG.174
.10.028921.10.026031.10.023431.10.021081.10.018961.10.017051.10.015331.10.013771.10.012373 !NTAP0,01,1.03,112.,1.0,00,0OP,INTG5,7,634,650,22.000,26.000634,638,642,646,65021.,22.,23.,24.,25.,26.,27.5,4,634,650,26.000,30.000634,638,642,646,65025.,27.,29.,315,4,634,650,30.000,34.000634,638,642,646,65029.,31.,33.,355,4,634,650,34.000,38.000634,638,642,646,65033.,35.,37.,395,4,634,650,38.000,42.000NTAP=3. Experimental gamma-rayyields data will be read from tape 3defined as the file g1demo.yld in OP,FILEabove. This will be changed to 0 (no dataread) or 4 for different operationsdescribed in the tutorial in this chapter.(Note that comments such as “!NTAP”are helpful, but not legal on every line.When in doubt, do not use a comment.)634,638,642,646,65037.,39.,41.,435,4,634,650,42.000,46.000634,638,642,646,65041.,43.,45.,47Number (NBRA=0) and weight (WBRA=0) ofbranching ratio data to be included in chi-squared.One experimental lifetime (NL=1) will be included inthe chi-squared statistic with weight WL=1.0.The experimental lifetime of state INDEX=3 is 112(1)ps.No experimental values of mixing ratios or matrixelements will be entered.Integration limits of energy andscattering angle for experiment #1.Because azimuthal symmetry and360-degree coverage of the particledetector were specified in EXPT(above), only the polar angleinformation is entered. In the presentexample, each experiment requiresonly three lines of input. Otherchoices of particle-detector geometrymay require more.175
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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
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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 ×¯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
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: 90145901459014590145901459014590145
Page 177 and 178: 5,5,634,650,82.000,84.000634,638,64
Page 179 and 180: ***********************************
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
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