Recent content by mshr

How can I calculate the effective degrees of freedom when linearly combining dependent sample variances? I know that the Welch–Satterthwaite equation exists, but that is for combining independent sample variances. Is there an equivalent expression for dependent sample variances? . Example...

There isn't any reason to expect them to come off perpendicularly; that was just a self imposed constraint. If I can remember from this morning, if the kaon decays in the direction of travel, then in the laboratory frame one pion is moving at about 0.99c and the other at -0.5c. So these...

You're correct, it already was divided by two. I think I've got it. $$p_\pi = 1021 \mathrm{MeV/c^2}$$ $$\beta_K = 0.9704$$ $$\beta_\pi = 0.9909$$ In the reference frame of the kaon, the two pions leave in opposite directions with velocity 0.99c. If we assume that the pions are emitted...

Hi all I'm new here. I'm in the process of upskilling in nuclear physics. I have a materials physics background, but am expanding my base. Found you guys and decided to sign up.

One of the possible decay modes of the neutral kaon is ## K^0 \rightarrow \pi^+ + \pi^- ## The rest masses of the K0 and pion are 498 MeV/c2 and 135 MeV/c2, respectively. In 2-dimensions (xz-plane), if the kaon has an initial momentum of 2000 MeV/c in the z direction, what is the momentum of...