113 In the case of scattering from a spherically symmetric charge distribution, the form factor is given by F(q²) = √p(r) -4л r²dr sin (2) qr/ħh where p(r) is the normalized charge distribution. (a) If the charge distribution of proton is approximated by p(r) = A exp(-r/a), where A is a constant and a is some characteristic "radius" of the proton. 96. Show that the form factor is proportional to (1+2) where 90 is h/a. 30.71 (dev)², determine the characteristic radius of the proton. Ge (b) If q

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113 In the case of scattering from a spherically symmetric charge distribution,
the form factor is given by
sin (4)
qr/h
F(q²) = √p(r) ³
-4л r²dr
where p(r) is the normalized charge distribution.
(a) If the charge distribution of proton is approximated by p(r) = A exp(-r/a),
where A is a constant and a is some characteristic "radius" of the proton.
Show that the form factor is proportional to (1+2) where 90
is h/a.
(b) If q = 0.71 (Gev) ². determine the characteristic radius of the proton.
Transcribed Image Text:113 In the case of scattering from a spherically symmetric charge distribution, the form factor is given by sin (4) qr/h F(q²) = √p(r) ³ -4л r²dr where p(r) is the normalized charge distribution. (a) If the charge distribution of proton is approximated by p(r) = A exp(-r/a), where A is a constant and a is some characteristic "radius" of the proton. Show that the form factor is proportional to (1+2) where 90 is h/a. (b) If q = 0.71 (Gev) ². determine the characteristic radius of the proton.
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