Model independent analysis

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(creation)
 
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==Introduction==
==Introduction==
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The motivation for development of Gosia was to
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It is not viable to
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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.

Latest revision as of 15:01, 29 April 2011

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