| Front | Derive an expression for the form factor $F(q)$, assuming that the nuclear density is given by a uniform sphere of radius R. |
| Back | $F(q)=\int\rho_{ch}(r)e^{i\mathbf{q\cdot{r}}}dV\newline$If $\rho(r)=aR$, then $F(q)=\int_0^R{ar}e^{i\mathbf{q\cdot{r}}}dV\newline$$=-\frac{ia}{q^2}(qr+1)e^{i\mathbf{q\cdot{r}}}|^R_0\newline=\frac{-a}{q^2}-\frac{ia}{q^2}(qR+i)e^{iqR}$ |
| Tags | Nuclear_Structure |
| Front | State and Define the nuclear magneton |
| Back | $\mu_n=\frac{e\hbar}{2m_p}=3.15\times10^{-8}eV/T$and is a unit for expressing magnetic dipole moments of nucleons. |
| Tags | Angular_Momentum Spin definitions |
| Front | Liquid drop model (3 terms) |
| Back | $\cdot$liquids incompressible$\newline$$\cdot$Density constant$\therefore$ radius $\propto n^{1/3}$, n is no. of molecules in drop$\cdot$each molecule bound with energy - a$\newline$$\cdot$molecules only bound onto drop on one side $\therefore$ there's a reduction in PE $\propto 4\pi R^2T\newline$$\cdot$Include electrostatics in model: work done to bring shell from $\infty$ to radius R$\newline$$\newline B(A,Z)=a_vA-a_SA^{2/3}-a_cZ^2A^{-1/3}$ |
| Tags | Nuclear_Structure |