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

When entering matrix elements in the upper triangle be careful to enter the correct phase rememberingthat time reversal invariance relates the time-reversed matrix elements by=(−) J 1−J 2 −λ Thus the phase of the matrix elements in the lower triangle is related to the upper triangle phase bythe (−) J1−J2−λ phase term. Similar care must be taken comparing the observed relative phases with modelpredictions.EXAMPLE:To illustrate a typical input consider the example discussed in the previous section, but here used underthe OP,GOSI command. Let us assume that the number of experimental data is insufficient to perform acompletely model-independent analysis. Then some model is used to couple all the diagonal quadrupolematrix elements to the 0 + 1 -2+ 1 transition matrix element. In addition, the E2/M1 mixing ratio for the 2+ 2 -2+ 2transition is fixed. The sample input then will be as as follows:OP,TITLNUCLEUS DEFINITION FOR OP,GOSIOP,GOSILEVE1,1,0,0 ground state is given index 12,1,2,0.5003,1,4,1.004,1,2,0.7500,0,0,0 ends LEVE inputME2,0,0,0,0 E2 header1,2,1.,-2,2 free variable1,4,1.,-2,2 free variable2,-2,1.,1,2 coupled to 1V22,3,1,-3,3 free variable2,4,1,.01,5 free variable3,-3,1,1,2 coupled to 1V24,-4,1,1,2 coupled to 1V27,0,0,0,0 ends E2 input, starts M1 input2,-4,1,2,204 coupled to 2V4 E20,0,0,0,0 ends ME inputIn this example there are only four variables, i.e. the 1 → 2, 2 → 3, 1 → 4 and 2 → 4 E2 matrix elements.All the diagonal matrix elements are kept equal to the E2 matrix element connecting 1 → 2, the same holdsfor the 2 → 4 M1 matrix element which is equal to the 2 → 4 E2 matrix element.93