Hayes at 15:01, 29 April 2011

2011-04-29T15:01:31Z

← Older revision		Revision as of 15:01, 29 April 2011
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		+
	==Introduction==		==Introduction==

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

Hayes: creation

2011-04-29T14:36:54Z

creation

New page

==Introduction==

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

Model independent analysis - Revision history

Hayes at 15:01, 29 April 2011

Hayes: creation