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

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......................................................................................................END, Mandatory CONT flag marking the end of CONT input. Must be followd by a blank line.......................................................................................................FIX, This switch provides the easiest way to override the matrix elements setup specified by the MEinput. When FIX, is encountered all matrix elements are fixed and only those specified by subsequentinput are released for minimization or error estimation. Further input required:IMI(1),I(2)··I(IM)Thenumberofmatrixelementstobereleased.Indices of the matrix elements to be released (defined by the sequenceof the ME input).Using FIX, it is easy to reduce the number of free matrix elements without modifying the ME input........................................................................................................FMI, Fast minimization switch. Causes the code to terminate the job immediately after the OP,MINIstep was completed, without compiling the final output. FMI, provides substantial time saving when thefinal output is not needed since the compilation of the final OP,MINI output involves a full Coulombexcitation calculation. The remainder of the input, including the repeated OP,MINI commands isignored if the FMI, switch has been selected. FMI, cannot be used when the SEL, switch is set........................................................................................................INR, Independent normalization switch. Overrides the relative normalization of γ detectors and differentexperiments as specified in OP,YIEL input. With the INR, switch set, the code will calculate thebest normalization factors (i.e. the ones providing the minimum value of χ 2 for a given set of elements)for each single γ detector independently........................................................................................................INT,X.IE 1 ,IS, Overrides the default accuracy check parameter, IS, of the Adams-Moulton integration· routine for specified experiments. The accuracy check is made every IS steps,· with a resultant possible change in integration stepsize. The default value is IS =1,· thus the stepsize may be adjusted after each complete integration step. Setting· IS =1000effectively switches off thestepsizecontrolsince1000 steps exceeds theIE X ,IS X range of integration (according to 4.1), forcing the code to retain maximum accuracy.X has the meaning of the number of experiments for which the default is to be altered. Additionalinput consists of X records, IE n being the experiment number and IS n the accuracy control parameterfor this experiment. The experiments are numbered according to the sequence of the EXPT input,thus this control switch only can be used after the suboption EXPT definition........................................................................................................LCK, This switch allows fixing a series of matrix elements without modifying the initial setup, e.g. itcan be used to keep the matrix elements belonging to a given multipolarity fixed during minimization.It requires further input as follows:64
I,I1 Ranges of matrix elements to be fixed.I,I1·0,0 Two zeros end input.........................................................................................................NCM,X. Causes the kinematics calculation to be performed assuming the final state of the excitednucleus is the state with user- given index equal to X. Default value is 2.0. The states of an excitednucleus are numbered according to the sequence of the LEVE input..........................................................................................................PIN,X. The PIN option is used when the charged particle detectory comprises an array of small PINdiodes. X is the number of experiments. This is followed byI,I1 I is the experiment number and I1 is the number of PIN diodes for that experiment· There should be X such recordsI,I1This should be followed by labelling these experiments as circular detector type using CRD. Small areasquare PIN diodes can be approximated as equivalent circular detectors; this is accurate enough andsaves defining the complicated orientation of the squares in space.For the example of 2 experiments, each employing 30 PIN diodes, the input sequence should be:CONTPIN,2.1,302,30CRD,2.12Note that under OP.INTG the detectors should be defined according to the circular detector input - inthis case there will be 2 × 30 double records. That is, the circular detector input requires two lines for eachdetector. OP,INTG then will perform a summation over the whole set of PIN diodes. The PIN switch tellsthecodethataspecified experiment involves not a single detector but a number of them........................................................................................................PRT,This overwrites the default options specifying the printout. It requires additional input as follows:I,I1 I is the print option code and I1 is the user-specified settingI,I1·0,0 The 0,0 ends the input of the print options.The following table lists all the available codes65
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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 and 58: method used for the minimization, i
Page 59 and 60: OP,ERRO (ERRORS) (5.6):Activates th
Page 61 and 62: -----OP,SIXJ (SIX-j SYMBOL) (5.25):
Page 63: 5.3 CONT (CONTROL)This suboption of
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
Page 109 and 110: 5.29 OP,TROU (TROUBLE)This troubles
Page 111 and 112: to that of the previous experiment,
Page 113 and 114: 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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