% <PLAINTEXT>
% $BNL;RJ*M}3X(B : $B1i=,LdBj(B 2-7 $B2rEz(B
% $B:n(B  $B@.(B  $B<T(B : y9410189 $B;38}(B $B5.9((B
% $B:n@.G/7nF|(B : 95/12/15
% $BEE;R%a!<%k(B : y9410189@edu.cc.uec.ac.jp
%
% \mondai{$B:n@.<T(B}{$B:n@.G/7nF|(B}{$BEE;R%a!<%k(B}{$BLdBjHV9f(B}{$BLdBjJ8(B}{$B2rEz(B}
%

\mondai
{y9410189 $B;38}(B $B5.9((B}
{95/12/15}
{y9410189@edu.cc.uec.ac.jp}
{2-7}
{
$BIi$N%_%e!<N3;R(B ( $ \mu ^{-} $ ) $B$O!"EE;R$N(B 207 $BG\$N=E$5$r$b(B
$B$A!"EE2Y$,(B $ -e $ $B$G$"$kN3;R$G$"$k!#(B
$BM[;R$HIi$N%_%e!<N3;R$G$D$/$k(B $B!V?eAG86;R!W(B $B$N>l9g!"%j%e!<(B
$B%I%Y%jDj?t(B $ R $ $B$NCM$O2?(B {\rm eV} $B$K$J$k$+!#(B
$B$^$?!"EE;R$HF1$8=E$5$GEE2Y$,(B $ +e $ $B$NN3;R(B($BM[EE;R(B)$B$HEE(B
$B;R$G(B $B!V?eAG86;R!W(B $B$r:n$C$?>l9g!"(B $ R $ $B$O2?(B {\rm eV} $B$K$J$k(B
$B$+!#(B
}
{$BEE;R$N<ANL$r(B $ m $ $B!"M[;R$N<ANL$r(B $ M $ $B$H$9$k$H!"Ii$N%_%e!<(B
$BN3;R$N<ANL$O(B $ 207m $ $B$G$"$k!#$3$3$G!"M[;R$HIi$N%_%e!<N3;R$N(B
$B49;;<ANL(B $ \mu_{1} $ $B$O!"(B


%\begin{center}
 $ \displaystyle \mu_{1} = \left( \frac{1}{M} +
\frac{1}{207m} \right)^{-1} = \left(\frac{1}{1.6726
\times 10^{-27}} + \frac{1}{207 \times 9.1093 \times
10^{-31}} \right)^{-1}$

$ \displaystyle \hspace{15pt} = 1.6945 \times 10^{-28} \hspace{10pt} {\rm kg}$
%\end{center}

$B$G$"$k!#$^$?!"(B $B%j%e!<%I%Y%jDj?t(B $ R $ $B$O!"652J=q(B p.19 $B$N(B (2.17) $B<0$+$i(B
\begin{equation}
 R = \left( \frac{1}{4\pi\varepsilon_{0}}\right)^2 \frac{\mu
 e^4 }{2\hbar^2 } \hspace{12pt} {\rm J}  
 = \left( \frac{1}{4\pi\varepsilon_{0}}\right)^2 \frac{\mu
 e^3 }{2 \hbar^2 } \hspace{10pt} {\rm eV} 
\label{eq:2-7-1}
\end{equation}
$B$G$"$k!#$3$l$KCM$rBeF~$9$k$H(B

 $ \displaystyle R_{1} = \left( \frac{1}{4 \times 3.1416
\times8.8542 \times 10^{-12}}\right)^2 \times \frac{1.6945
\times 10^{-28} \left( 1.6022 \times 10^{-19}\right)^3 }{2
\times \left( 1.0546 \times 10^{-34}  \right)^2 }$

 $ \displaystyle \hspace{15pt} = 2530 \hspace{10pt} {\rm eV} $


$BF1MM$K$7$FM[EE;R$N>l9g$b49;;<ANL(B$ \mu_{2} $$B$r5a$a$F!"(B$ R $$B$N<0(B 
(\ref{eq:2-7-1}) $B$KBeF~$9$l$P$h$$!#(B

\begin{center}
 $ \displaystyle \mu_{2} = \left( \frac{1}{m} +
\frac{1}{m}\right)^{-1} =\frac{m}{2} = \frac{9.1093 \times
10^{-31}}{2} = 4.5547 \times 10^{-31} \hspace{10pt} {\rm kg} $
\end{center}

$B$G$"$k!#$h$C$F$3$l$rBeF~$9$l$P(B

 $ \displaystyle R_{2} = \left( \frac{1}{4 \times 3.1416
\times8.8542 \times 10^{-12}} \right)^2 \times \frac{\left( 4.5547
\times 10^{-31} \right) \left( 1.6022
\times10^{-19} \right)^3 }{2 \times \left( 1.0546 \times 10^{-34}  \right)^2 } $

 $ \hspace{15pt} \displaystyle = 6.80 \hspace{10pt}{\rm eV} $

$B$rF@$k!#(B
}
