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

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where the efficiency error is estimated using the correlation matrix C that results from the fit:(∆ε) 2 =pXj=1 k=1pX ∂ε∂α j∂ε∂α kC ija j (j =1...p) represents all the parameters of the fit.The derivatives with respect to the parameters have simple analytical expressions:µ j∂ε= ε(E 0 log E0∂α j E 0 −N∂ε∂f = ε(E0 )µlog E0E 0∂ε∂b = − ε(E 0 )c(1 + exp E0 −bc)∂ε∂c = E0 − b ∂εc ∂b194
13 GOSIA 2007 RELEASE NOTESThese notes include updates as of May 29, 2008.The original GOSIA code was developed in 1980 by T. Czosnyka, D. Cline and C.Y. Wu at the Universityof Rochester. In the years since, several other versions of the code have been developed: GOSIA2 and PAWELby T. Czosnyka, and ANNL by R. Ibbotson. These Release Notes are for the 2007 version of GOSIA. GOSIA2is being upgraded in parallel with GOSIA and thus most of these release notes also apply to GOSIA2. Theserelease notes do not necessarily apply to PAWEL or ANNL.The coding of the GOSIA suite of codes was maintained by Tomasz Czosnyka from 1980 until 2006.Since 2007 Nigel Warr has upgraded the coding of GOSIA and GOSIA2. He has repaired several bugs,and made significant improvements in structure, standards, and compatibility to both GOSIA and GOSIA2.The management and future development of the GOSIA suite of codes now is done by the Gosia SteeringCommittee, which comprises Douglas Cline, Adam Hayes, Pawel Napiorkowski, and Nigel WarrValuable contributions to GOSIA were made by the following people.L. Hasselgren (Uppsala)R. Ibbotson (Rochester)A.E.Kavka(UppsalaandRochester)B. Kotlinski (Warsaw and Rochester)J. Srebrny (Warsaw)Eh. Vogt (München and Rochester)Descriptions of the improvements to GOSIA can be found in the “Version History” below.These notesinclude updates as of March 28, 2008.References and CreditsT. Czosnyka, D. Cline and C. Y. Wu, Bull. Am. Phys. Soc. 28, 745 (1983).University of Rochester internal laboratory report UR/NSRL 308/1986Some concepts used come from the 1978 Winther, de Boer code COULEX and from the deexcitationcode CEGRY developed by Cline and coworkers at Rochester. However, the parts taken from both codesare in most cases completely rewritten, so the similarity of variable and routine names may be misleading.ResourcesGOSIA is now being maintained at the University of Rochester. It is recommended that users checkthe GOSIA website at Rochester periodically for important updates to the code and the manual, as well assample input and output files and other information. Chapter 11 of this manual provides novice users withinstructions, tutorials, etc.http://www.pas.rochester.edu/~cline/Research/GOSIA.htmCompiling GOSIAGOSIA 2007 compiles on most 64-bit systems with GNU g77, using the default compiler settings.Chronology of Major Changes(July 2007, N. Warr) - Major update of the coding of GOSIA was made that incorporated thefollowing changes:1) Explicit 64-bit Precision Upgrade:Previous versions of the GOSIA code did not explicitly specify 64-bit precision; the user was expected tocompile the code at the highest machine precision available. The current availability of 64-bit machines andthe accuracy problems which arise when relying on 32-bit precision have led to the decision to make the 2007version fully and explicitly 64-bit. Modifying the code to run with 32-bit precision is discouraged. Earlierversions of GOSIA had some portability problems arising from misalignment of common blocks. In GOSIA2007 the common blocks have been re-ordered so that the 64-bit real variables come before the 32-bit integervariables, in order to eliminate alignment problems.2) Structure and standards:195
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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
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
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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 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
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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
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Page 191 and 192: line 152 Eu 182 Tanumber (keV) (keV
Page 193: 1.6 Normalization between data sets
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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