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Unformatted text preview: Physics 135c Homework 5 1.) Determine the nonrelativistic 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 nonrelativistic 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 shorthand 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.
 Spring '11
 Smith
 Physics, Work

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