Parity violating measurements of neutron densities - Jefferson Lab
Parity violating measurements of neutron densities - Jefferson Lab
Parity violating measurements of neutron densities - Jefferson Lab
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Analysis II: Helm model weak form factor<br />
• Solve Dirac eq. for wood saxon<br />
ρW and experimental ρch.<br />
Integrate over acceptance.<br />
• Adjust ρW until agrees with<br />
PREX measurement.<br />
• Calculate weak form factor<br />
FW(q)=∫d 3 r sinqr/qr ρW(r) / QW.<br />
FW(q)=0.204 ± 0.028 at q=0.475 fm -1<br />
• Helm model for FW(q)=3/qR0<br />
j1(qR0) exp[-q 2 σ 2 /2] with<br />
diffraction radius R0.<br />
• Use surface thickness<br />
σ=1.02±0.09 fm from least sqs. fit<br />
to mean field models.<br />
• Weak radius: RW=[3/5(R0 2 +5σ 2 )] 1/2<br />
RW=5.83±0.18(exp)±0.03(model) fm<br />
Helm model weak charge density for 208 Pb<br />
(red) Gray band includes exp. and model<br />
errors. Blue dots is a typical mean field<br />
model (FSU). Black dashes is (E+M) charge<br />
density.
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