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

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5 INPUT INSTRUCTIONS FOR THE COMPUTER CODE GOSIA5.1 ORGANIZATIONInput, execution and control of the code GOSIA is achieved by specifying a given sequence of option commands.These option commands are activated using the input format OP,– where – designates the fourcharacteralphanumeric name of the option command. Some options are used for input or selection of inputneeded for specific tasks, while other options execute appropriate modules of the code.The code GOSIA can operate in either of two mutually exclusive modes. The first, activated by theoption OP,COUL, performs the calculation of Coulomb excitation probabilities and γ-ray yields for a fixedset of the matrix elements. No fitting of matrix elements to experimental data is performed if OP,COULhas been selected. The other mode, activated by the command OP,GOSI, should be used if a least-squaresfit of matrix elements to experimental data is desired. The user is free to use any other option commandsin conjunction with either the OP,COUL or the OP,GOSI commands consistent with an obvious logic. Forexample, the code cannot calculate Coulomb excitation amplitudes if the level scheme is not defined, also itcannot execute the fit-related commands if OP,COUL has been selected. The input to the option commandsOP,COUL and OP,GOSI contains suboptions for which the prefix OP, is not appended to the name.A summary of all available options is given below. Detailed descriptions of each option and suboptioncommand are given in alphabetical order in the subsection of this chapter listed next to the name of eachoption. Details of the file manipulation procedures are given in Chapter 7. The names of the optioncommands are truncated to four characters. Full, self-explanatory names are given in parentheses in thefollowing description.CONT (CONTROL) (5.3):Suboption of OP,COUL and OP,GOSI which is used to control and select various optional features ofthe code for both execution and output. This option can be omitted in which case default parameterswill be used.–––––OP,CORR (CORRECT) (5.4):Execution option to modify the experimental data to correct for the difference between the integratedyield calculations and the point values used for calculation of the Coulomb excitation cross sectionsand γ-ray yields, as described in detail in 4.4.–––––OP,COUL (COULEX) (5.5):Activates the simple excitation/deexcitation mode. No fit of matrix elements to the data is made withthis option in contrast to OP,GOSI. Consequently, the appreciable input required for the fit procedurecan be skipped. OP,COUL contains the following suboptions:–––––LEVE(Section 5.13)ME(Section 5.15)EXPTSection 5.8)CONT(Section 5.3)58
OP,ERRO (ERRORS) (5.6):Activates the error estimation module of the code. Also, it can be used to test the goodness of thesolution, as discussed in detail in Chapter 8.–––––OP,EXIT (EXIT) (5.7):Terminates the job and causes the final output to be compiled.–––––EXPT (EXPERIMENT) (5.8):Suboption of OP,COUL and OP,GOSI which is used to input the experimental conditions for each ofthe experiments to be analyzed.–––––OP,FILE (FILES) (5.9):Optionally allows to declare permanent files to be attached to the job in the input rather than in thejob control stream.–––––OP,GDET (GE DETECTORS) (5.10):Creates the files that contain the data needed to calculate the solid angle attenuation factors ( 2.2.3).Output files should be attached to the job when OP,YIEL is encountered.–––––OP,GOSI (GOSIA) (5.11):This alternative option to OP,COUL is used when a fit of matrix elements is to be made to Coulombexcitation data. The suboptions for this option are the same as for OP,COUL (however, note that theinput to ME differs from that used for OP,COUL):–––––LEVE(Section 5.13)ME(Section 5.16)EXPT(Section 5.8)CONT(Section 5.3)OP,INTG (INTEGRATE) (5.12):Execution option used to integrate the deexcitation γ-ray yields, resulting from Coulomb excitation,over energy loss of the incident beam in the target and over the solid angles of the particle detectors.–––––LEVE (LEVELS) (5.13):SuboptionofOP,COULandOP,GOSIwhichisusedtoreadinandcatalogthelevelschemeoftheinvestigated nucleus.–––––59
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COULOMB EXCITATION DATA ANALYSIS CO
Page 4 and 5:
10 MINIMIZATION BY SIMULATED ANNEAL
Page 6 and 7:
1 INTRODUCTION1.1 Gosia suite of Co
Page 8 and 9: 104 Ru, 110 Pd, 165 Ho, 166 Er, 186
Page 13 and 14: Figure 1: Coordinate system used to
Page 15 and 16: Cλ E =1.116547 · (13.889122) λ (
Page 17 and 18: Figure 2: The orbital integrals R 2
Page 19 and 20: 2.2 Gamma Decay Following Electroma
Page 21 and 22: where :d 2 σ= σ R (θ p ) X R kχ
Page 23 and 24: Formula 2.49 is valid only for t mu
Page 25 and 26: Ã XK(α) =exp−iτ i (E γ )x i (
Page 27 and 28: important to have an accurate knowl
Page 29 and 30: 3 APPROXIMATE EVALUATION OF EXCITAT
Page 31 and 32: with the reduced matrix element M c
Page 33 and 34: q (20)s (0 + → 2 + ) · M 1 ζ (2
Page 35 and 36: esults of minimization and error ru
Page 37 and 38: adjustment of the stepsize accordin
Page 39 and 40: approximation reliability improves
Page 41 and 42: Zd 2 σ(I → I f )Y (I → I f )=s
Page 43 and 44: 4.5 MinimizationThe minimization, i
Page 45 and 46: X(CC k Yk c − Yk e ) 2 /σ 2 k =m
Page 47 and 48: However, estimation of the stepsize
Page 49 and 50: It can be shown that as long as the
Page 51 and 52: een exceeded; third, the user-given
Page 53 and 54: where f k stands for the functional
Page 55 and 56: x i + δx i Rx iexp ¡ − 1 2 χ2
Page 57: method used for the minimization, i
Page 61 and 62: -----OP,SIXJ (SIX-j SYMBOL) (5.25):
Page 63 and 64: 5.3 CONT (CONTROL)This suboption of
Page 65 and 66: I,I1 Ranges of matrix elements to b
Page 67 and 68: CODE DEFAULT OTHER CONSEQUENCES OF
Page 69 and 70: 5.4 OP,CORR (CORRECT )This executio
Page 71 and 72: 5.6 OP,ERRO (ERRORS)ThemoduleofGOSI
Page 73 and 74: 5.7 OP,EXIT (EXIT)This option cause
Page 75 and 76: M AControls the number of magnetic
Page 77 and 78: 5.10 OP,GDET (GE DETECTORS)This opt
Page 79 and 80: 5.12 OP,INTG (INTEGRATE)This comman
Page 81 and 82: ¡ dE¢dx1 ..¡ dEdx¢Stopping powe
Page 83 and 84: NI1, NI2 Number of subdivisions of
Page 85 and 86: 5.13 LEVE (LEVELS)Mandatory subopti
Page 87 and 88: 5.15 ME (OP,COUL)Mandatory suboptio
Page 89 and 90: Figure 10: Model system having 4 st
Page 91 and 92: ME =< INDEX2||E(M)λ||INDEX1 > The
Page 93 and 94: When entering matrix elements in th
Page 95 and 96: There are no restrictions concernin
Page 97 and 98: 5.18 OP,POIN (POINT CALCULATION)Thi
Page 99 and 100: 5.20 OP,RAW (RAW UNCORRECTED γ YIE
Page 101 and 102: 5.21 OP,RE,A (RELEASE,A)This option
Page 103 and 104: 5.25 OP,SIXJ (SIXJ SYMBOL)This stan
Page 105 and 106: 5.27 OP,THEO (COLLECTIVE MODEL ME)C
Page 107 and 108: 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
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9 COULOMB EXCITATION OF ISOMERIC ST
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configurations with a probability e
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The average range covered by each m
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SFX,NTOTI1(1),I2(1),RSIGN(1)I1(2),I
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11.2 LearningtoWriteGosiaInputsThe
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(1.6 MeV)1.1 MeV0.75 MeV0.4 MeV0.08
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Define the germaniumdetector geomet
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Figure 15: Flow diagram for Gosia m
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gosia < 2-make-correction-factors.i
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Issue the commandgosia < 9-diag-err
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At this point, it is suggested to c
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calculation.) In this case, a copy
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4,-4, -3.705, 3,44,5, 4.626, 3.,7.5
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90145901459014590145901459014590145
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.10.028921.10.026031.10.023431.10.0
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5,5,634,650,82.000,84.000634,638,64
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***********************************
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*** CHISQ= 0.134003E+01 ***MATRIX E
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CALCULATED AND EXPERIMENTAL YIELDS
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11.7 Annotated excerpt from a Coulo
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11.8 Accuracy and speed of calculat
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18,10.056,0.068,0.082,0.1,0.12,0.15
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line 152 Eu 182 Tanumber (keV) (keV
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1.6 Normalization between data sets
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13 GOSIA 2007 RELEASE NOTESThese no
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Matrix elements 500(April 1990, T.
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14 GOSIA Manual UpdatesDATE UPDATE2
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[KIB08]T.Kibédi,T.W.Burrows,M.B.Tr
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