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\begin{document}
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\begin{eqnarray}
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U_A &=& - \frac{A}{6} \left[
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U_A &=& - \frac{A_{cc}}{6} \left[
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\frac{2 a_1 a_2}{r^2-\left(a_1+a_2\right)^2}
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+ \frac{2 a_1 a_2}{r^2 - \left(a_1 - a_2\right)^2}
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+ \mathrm{ln}
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@ -12,7 +12,7 @@ U_A &=& - \frac{A}{6} \left[
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\right)
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\right] \nonumber \\
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\nonumber \\
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U_R &=& \frac{A}{37800} \frac{\sigma^6}{r}
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U_R &=& \frac{A_{cc}}{37800} \frac{\sigma^6}{r}
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\left[ \frac{}{} \right. \nonumber \\
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&&\qquad \frac{r^2-7r\left(a_1+a_2\right)+6\left(a_1^2+7a_1a_2+a_2^2\right)}
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{\left(r-a_1-a_2\right)^7} \nonumber \\
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\begin{document}
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\begin{eqnarray}
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U &=& \frac{2 ~ a^3 ~ \sigma^3 ~ A}{9 \left( a^2 - r^2 \right)^3}
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U &=& \frac{2 ~ a^3 ~ \sigma^3 ~ A_{cs}}{9 \left( a^2 - r^2 \right)^3}
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\left[ 1 - \frac{\left(5 ~ a^6+45~a^4~r^2+63~a^2~r^4+15~r^6\right) \sigma^6}
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{15 \left(a-r\right)^6 \left( a+r \right)^6} \right], ~~ r < r_c \nonumber
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\end{eqnarray}
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\begin{document}
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\begin{eqnarray}
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U &=& \frac{A}{36} \left[ \left( \frac{\sigma}{r} \right)^{12} - \left( \frac{ \sigma}{r} \right)^6 \right], ~~ r < r_c \nonumber
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U &=& \frac{A_{ss}}{36} \left[ \left( \frac{\sigma}{r}
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\right)^{12} - \left( \frac{ \sigma}{r} \right)^6 \right], ~~
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r < r_c \nonumber
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\end{eqnarray}
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\end{document}
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