91影视

The force is electroweak.

From the Uncertainty principle:

$\mathit{螖}\mathit{E}\mathit{螖}\mathit{t}\mathbf{鈮�}\mathit{鈩�}$

An event in which an amount of energy $\mathit{螖}\mathit{E}$ is not conserved is not prohibited as long as the duration of the event does not exceed $\mathit{h}\mathbf{/}\mathit{螖}\mathit{E}$.

Let鈥檚 assume that a meson particle travels between nucleons at a speed of$\mathit{x}\mathbf{鈮�}\mathit{c}$

the temporary energy discrepancy of $\mathit{螖}\mathit{E}\mathbf{鈮�}\mathit{m}{\mathit{c}}^{\mathbf{2}}$ and that is:

$\mathit{螖}\mathit{E}\mathit{螖}\mathit{t}\mathbf{鈮�}\mathit{鈩�}$ 鈥︹�� (1)

And the time needed for the particle to travel is $\mathit{螖}\mathit{t}\mathbf{=}\mathit{x}\mathbf{/}\mathit{c}$.

Equation (1) becomes:

$\mathbf{\left(}\mathbf{m}{\mathbf{c}}^{\mathbf{2}}\mathbf{\right)}\mathbf{\left(}\frac{\mathbf{x}}{\mathbf{c}}\mathbf{\right)}\mathbf{鈮�}\mathit{鈩�}$

Rearrange the above equation for mass $\mathit{m}$and x as:

$\begin{array}{c}\mathbf{x}\mathbf{鈮�}\frac{\mathbf{鈩�}}{\mathbf{m}\mathbf{c}}\\ \mathbf{m}\mathbf{鈮�}\frac{\mathbf{鈩�}}{\mathbf{x}\mathbf{c}}\end{array}$

The mass of the mediation particle of the weak force is about $90脳{10}^3\text{鈥�}\frac{\text{MeV}}{{\text{c}}^2}$.

Convert units of mass from $\text{MeV}/{\text{c}}^2$ into .

$\begin{array}{l}m=(90脳{10}^3\text{鈥塎别痴}/{\text{c}}^2)\left(\frac{1u}{931.5\text{鈥塎别痴}/{\text{c}}^2}\right)\\ m=\left(96.6183\text{u}\right)\left(\frac{1.67脳{10}^{鈭�27}\text{鈥塳驳}}{\text{u}}\right)\\ m=1.613脳{10}^{鈭�25}\text{鈥�}\text{kg}\end{array}$

Substitute $1.055脳{10}^{鈭�34}\text{鈥�}\text{J}鈰�\text{s}$ for$\mathrm{鈩�},1.613脳{10}^{鈭�25}\text{鈥塳驳}$ for$m$ , and $3脳{10}^8\text{鈥尘/蝉}$for $c$in equation,

$\text{range}鈮�\frac{h}{\text{mc}}$

$\begin{array}{l}\text{range}鈮�\frac{1.055脳{10}^{鈭�34}\text{鈥塉}鈰�\text{s}}{(1.613脳{10}^{鈭�3}\text{鈥塳驳})(3脳{10}^8\text{鈥尘/蝉})}\\ \text{range}鈮�2.197脳{10}^{鈭�18}\text{鈥尘}\end{array}$

Convert units of range from m to as:

$\begin{array}{l}\text{range}鈮�(2.197脳{10}^{鈭�18}\text{鈥尘})\left(\frac{1\text{鈥塮尘}}{{10}^{鈭�13}\text{鈥尘}}\right)\\ \text{range}鈮�2.197脳{10}^{鈭�3}\text{鈥塮尘}\end{array}$

Thus, the range is indeed of order ${10}^{鈭�3}\text{鈥塮尘}$.