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

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CALCULATED LIFETIMESLEVEL LIFETIME(PSEC) EXP ERROR2 0.2498E+043 0.1106E+03 0.1120E+03 0.1000E+014 0.1258E+025 0.3907E+016 0.1207E+017 0.7453E+008 0.5660E+009 0.3999E+0010 0.3405E+0011 0.3344E+00Calculated and experimental (ifapplicable) values of the meanlifetimes. The weight of lifetimedata in the chi-squared calculationis specified in the input by the user.MATRIX ELEMENTSMULTIPOLARITY=2INDEX NF NS ME PC CHANGE RED. TRANS. PROB.1 1 2 2.01846 7.47911 0.814832 2 2 -2.41291 7.47911 **********3 2 3 3.49426 7.25159 1.356654 3 3 -3.33123 7.25159 **********5 3 4 4.66743 13.31462 1.675766 4 4 -4.19831 13.31462 **********7 4 5 4.94613 6.92022 1.439078 5 5 -4.33134 6.92022 **********9 5 6 6.30875 15.16524 1.8952510 6 6 -5.44156 15.16524 **********11 6 7 6.42859 15.20767 1.6530712 7 7 -5.49080 15.20767 **********13 7 8 6.54653 -0.22057 1.4778314 8 8 -5.55273 -0.22057 **********15 8 9 7.36836 8.10387 1.6452316 9 9 -6.21922 8.10387 **********17 9 10 7.65017 11.19432 1.5817618 10 10 -6.43259 11.19432 **********19 10 11 7.20253 -0.08980 1.2652820 11 11 -6.03657 -0.08980 ******************* END OF EXECUTION **********Final values of the matrix elements at thechi-squared minimum. Matrix elementsand reduced transition probabilities[B(E2), B(M1), etc.] are expressed in theappropriate powers of e,barns and μN.Reduced transitionprobabilities.Initial (NF) and final (NS) states ofthe matrix element in the directiongiven in the input file.Values of the matrix elementsat the chi-squared minimum.Percent change from theinitial to final values of ME.184
11.7 Annotated excerpt from a Coulomb excitation yield calculation (OP,INTG)The output of OP,INTG is a set of gamma-ray yields integrated over theuser-defined ranges of beam energy and particle scattering angle. Theessential features which differentiate it from the output of OP,MINI(above) are identified below.INTEGRATED RUTHERFORD CROSS SECTION=.1328E+05 FOR EXP. 1The Rutherford cross section is integrated over energy and particlescattering angle and given in units of mb×mg/cm 2 . In this case ifthe target thickness is 0.5 mg/cm 2 , thenσR = 0.1328E+05 / 0.5 = 2.66E+04 mb.INTEGRATED YIELDSEXPERIMENT 1 DETECTOR 1ENERGY RANGE 31.200--- 35.700 MEV SCATTERING ANGLE RANGE 20.100--- 49.500 DEGNI NF II IF YIELD NORMALIZED YIELD6 3 6.0 4.0 0.53645E-08 0.11322E-075 3 4.0 4.0 0.75301E-08 0.15893E-075 4 4.0 2.0 0.69686E-12 0.14708E-114 1 2.0 0.0 0.26156E-05 0.55204E-054 2 2.0 2.0 0.25518E-05 0.53858E-053 2 4.0 2.0 0.40693E-04 0.85887E-042 1 2.0 0.0 0.47380E+00 0.10000E+01INTEGRATED YIELDS185
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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
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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
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 and 174: 90145901459014590145901459014590145
Page 175 and 176: .10.028921.10.026031.10.023431.10.0
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: CALCULATED AND EXPERIMENTAL YIELDS
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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