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

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The 2007 code has been updated to replace many archaic functions with their modern counterparts.Sections of the code have been restructured using SPAG ( c° Polyhedron Software) under the academiclicense. This included unraveling of loops and goto statements,andindentingthesourcecodetomakeloopsand if statements more obvious. The initialization in the main routine has been slightly restructured, mainlyto make it similar to the 2007 version of GOSIA2. Other sections have been restructured for clarity, withoutaltering their function.3) Bugs fixed:The subroutine in GOSIA which calculates the rotation functions relies on its memory space for localvariables being preserved between calls. This occurred automatically on many older systems (e.g. DECAlpha, VAX). On some newer machines these variables were being lost, causing unpredictable errors, suchas negative values of chi-squared. This has been fixed in the 2007 version.If the user requests an excessive number of Coulomb excitation calculations requiring high accuracy,GOSIA may find that its allocated memory is insufficient for the number of collision functions required(Chapter 2). Previous versions of GOSIA did not terminate execution according to Fortran standards whenthis occurred, and execution would continue on some newer platforms. This may cause reports of “NaN” inthe output file(s), resulting in read errors later. This bug has been fixed. If GOSIA 2007 finds an insufficientmemory condition, it reports the error and terminates the job.The WRN,X. switch in the CONT section of both OP,GOSI and OP,COUL was unintentionally disabledin the 2007 version. It is restored in the present update.4) Input format:Tapes 1 and 2 in the pre-2007 versions have been reassigned to tapes 11 and 12, respectively, in order tomake switching between GOSIA and GOSIA2 (the mutual excitation code) easier. This change affects onlythe default naming of files by GOSIA and the tape 1 and 2 entries to OP,FILE (optional—see below). Forexample, on a typical Unix-like system, if OP,FILE is not used, the file formerly called “fort.2” will now becalled “fort.12” and will contain the best set of matrix elements written at the end of the minimization.(June 2006, T. Czosnyka) - The array size for the internal conversion coefficients has been increased to50. This allows the user to enter more ICC values near discontinuities (i.e., electron binding energies) whereseveral closely spaced values are needed for an accurate interpolation. Refer to OP,YIEL in this manual.(Nov 2000, T. Czosnyka) -AJaeriefficiency calibration has been added for the Ge detector data.(2000) - A FITEFF Ge efficiency calibration has been added with credit to P. Olbratowski, P. Napiorkowski.(July 1997, T. Czosnyka) - Known matrix elements of all multipolarities may now be entered as datain OP,YIEL. Note that this necessitates adding the multipole order LAMBDA as the first fieldinthenewinput format,LAMBDA,NS1,NS2,ME,DMEwhere LAMBDA=7 and 8 represent M1 and M2, respectively.(September 1996, T. Czosnyka) - The PIN diode particle detector option has been added. See theentry for “PIN,X.” under the sub-option CONT in this manual.(May 1995, T. Czosnyka) - A collective model matrix element generator “OP,THEO” was added.(April 1991, T. Czosnyka) - The OP,RAW function has been added. OP,RAW handles non-efficiencycorrectedgamma-ray yield data and allows the definition of Ge detector “clusters.” Up to 20 clusters canbe defined. This effectively increases the number of physical Ge detectors to 200, while the number of datasets (i.e. single detectors + detector clusters) is still limited to 32.(April 1991, T. Czosnyka) - Output is now written on unit 22 to avoid mixing it with system messageson some systems.(November 1990, T. Czosnyka) - The level scheme data arrays have been increased to the followingsizes:Levels 75Gamma-ray yields 32 x 1500Magnetic substates 600196
Matrix elements 500(April 1990, T. Czosnyka) - The dominant multipolarity switch formerly set in the “ME” sub-option(Section 5.15) is now ignored by the code and does not need to be set. Full Q-maps are now calculated forelectric multipole orders E1 through E4 (Chapter 2). The electric matrix elements up to multipole orderE6 may be entered and fit. The Xi and Zeta function ranges are now calculated for each multipolarityindividually (Chapter 2).(1990, Eh. Vogt, T. Czosnyka) - OP,FILE has been added (Section 5.9), giving the user the optionof specifying descriptive names of the input and output files in the GOSIA input, rather than using theFortran default names fort.1, fort.2, etc.(March 1989, T. Czosnyka) - The code has been updated to allow input of gamma-ray yield datafrom 32 Ge detectors. [As of the 2007 version, this means a total of 32 x 1500 data points.](1980, T. Czosnyka, D. Cline, C.Y. Wu) - Original version.197
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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
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 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: 13 GOSIA 2007 RELEASE NOTESThese no
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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