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| ==Introduction== | | ==Introduction== |
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- | The motivation for development of Gosia was to
| + | It is not viable to |
- | implement the capability to extract measured
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- | <math>E\lambda</math>
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- | matrix elements model-independently from Coulomb excitation data. The first
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- | major task required to achieve this goal was to design experiments covering a
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- | wide dynamic range of Coulomb excitation strength that provide sufficient
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- | experimental data to overdetermine the many unknown matrix elements.
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- | Experimental techniques were developed to achieve this requirement in the
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- | 1980's and primarily involved Coulomb excitation measurements over a wide
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- | range of both scattering angle and unexcited nucleus
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- | <math>Z</math> value. The second major task was the development of Gosia to
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- | model-independently extract the matrix elements via a least-squares search of
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- | the data. During the 1980's and early 1990's the ready availability of beam
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- | time at heavy-ion accelerator facilities, the availability of high-efficiency
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- | <math>p-\gamma</math> detector facilities, and access to fast computer systems needed for the Gosia
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- | least-squares searches, enabled the first model-independent extraction of
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- | <math>E\lambda</math>
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- | matrix elements from multiple Coulomb excitation data. These fairly complete
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- | sets of E2 matrix elements made it possible to exploit the rotational invariants
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- | technique to extract the underlying quadrupole collective degrees of freedom
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- | directly from the Coulomb excitation data. Note that it is not viable to
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| perform a completely model-independent analysis in that models extrapolate | | perform a completely model-independent analysis in that models extrapolate |
| from the set of measured | | from the set of measured |
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| the influence of virtual excitation of the highest spin states or of | | the influence of virtual excitation of the highest spin states or of |
| excited-state static electric quadrupole moments. | | excited-state static electric quadrupole moments. |
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| + | Refer to the page on [[Model_dependent_analysis | model-dependent analysis]] for more information. |