ph135_hw5 - Physics 135c Homework 5 1.) Determine the...

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Unformatted text preview: Physics 135c Homework 5 1.) Determine the non-relativistic elastic scattering form factor F ( | q | ) = integraldisplay d 3 r ( r ) e i q r for the following two densities: a) ( r ) = =constant for r R and = 0 for r > R , b) ( r ) = e- r/R 2.) Beginning with the non-relativistic elastic scattering form factor F ( | q | ) = integraldisplay d 3 r ( r ) e i q r show that the mean square radius of the charge distribution is related to the derivative of the form factor, i.e.: < r 2 > = lim q 6 vextendsingle vextendsingle vextendsingle dF ( | q | ) d | q | 2 vextendsingle vextendsingle vextendsingle 3.) What are the nuclei, spins, parities, isospins, and 3- component of isospin for the diagrams [a) - h)], shown on the next page, representing states of the three nucleon system. Note that these diagrams are short-hand for the full states but are sufficient to identify the nuclei. Use the shell model as a guide, and assume the state of lowest excitation energy in each case. If some of theand assume the state of lowest excitation energy in each case....
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This note was uploaded on 12/04/2011 for the course PHY 7070 taught by Professor Smith during the Spring '11 term at Wisconsin.

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ph135_hw5 - Physics 135c Homework 5 1.) Determine the...

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