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

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14 GOSIA Manual UpdatesDATE UPDATE20 May 2008 1) Added all members of the Gosia Users Steering Committee and their institutionsto the author list. 2) Added a dedication page to Tomasz Czosnyka, 3) Expandedchapter 11 by addition af another tutorial and corrected some errors.16 May 2008 1) Added section 2.2.4 on the calculation of internal conversion coefficients includingaddition of E0 conversion. 2) Corrected a comment at end of OP,RE regardingrequiring it to immediately preceed OP,ERRO or OP,MIN5 May 2008 1) Updated the Introduction to separate the introduction from the history andmanual description. 2) Added section 2.2.4 "Sources of Systematic Error". 3)Corrected input descriptions to correspond to the current version of Gosia. 4) Addeda description of the output from OP,GDET. 5) Replaced chapter 11 Learning Gosia,by a new version that includes more sample inputs and corresponding outputs.2 April 2008 Updated the Manual to correct an error in OP,INTG to reflect the fact that themaximum dimension of NI2 is 50, not 100. Also revised the Introduction andRelease Notes chapters of the manual plus corrected typing errors in CONT andthe Rotational Invariants chapter 6.8 Oct 2007 Chapter 11 in the Gosia Manual changed to include a tutorial and instructionsfor compiling and using GOSIA. Release Notes added to manual as chapter13. Some minor editorial changes made to the GOSIA Manual. Posted thelatest 2007 version of GOSIA code plus the accuracy-speed-test.tar and g1demo.tarinput/output files used by the GOSIA tutorial described in chapter 11.30 Aug 2007 Updated the manual description of how to evaluate absolute counts using OP,POINor OP,INTG20 Aug 2007 Upgraded the GOSIA Manual to include the code GREMLINJuly-Aug 2007 Nigel Warr upgraded the coding of GOSIA, and GOSIA2 which were tested byAdam Hayes.26 Feb 2007 Updated the manual regarding accuracy problems associated with large adiabaticity.Added a chapter 11 on accuracy, speed and compiling options.25 Feb 2007 To facilitate new installations a new test input with associated output file and readme file were created that illustrate the accuracy, speed and compiling options forGOSIA.20 Feb 2007 Corrected error in input instructions for ME in OP. YIEL.6 Dec 2006 Corrected typing errors in OP: MINI input24 Aug 2006 Added Drew Whitbeck comments to manual on input for GOSIA2.25 June 2006 Made corrections to eq 3.15 and 3.16 in manual13 June 2006 Corrected ICC description in OP,YIEL to include use of four point interpolationand increase in number of ICC energies to 50.9 June 2006 1) ICC description in OP.YIEL revised with warning about how to handle ICC atenergies near the K,L edges.2) Inserted the PIN diode option in CONT and OP.INTG3) Added a very short comment about PAWEL30 May 2006 New version of GOSIA Manual:1) Includes GOSIA2 for handling simultaneous Coulex of radioactive beams.2) All equations and chapter numbers in manual incremented by one3) Corrected figure 2.1 to coord B4) Added description of Ibbotson annealing code approach to minimization5) Added comments to aid in calculating total cross sections to OP.INTG6) Update OP.YIEL to include 1997 update allowing input of matrix elements forall multipolarities.7) Added description of OP,THEO to calculate rotational mode E2 matrix elements199
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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
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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
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 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: Matrix elements 500(April 1990, T.
Page 201 and 202: [KIB08]T.Kibédi,T.W.Burrows,M.B.Tr
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