Dalitz plot analysis

+ 1 like - 0 dislike
273 views

I have seen a few Dalitz plots so far and tried to understand how they are useful. So one of the advantages of these plot is that the non-uniformity in the plots can tell something about the intermediate states that we cannot detect. My question is how do you extract the mass of these resonant particles from such plots? What additional information would you need?

This post imported from StackExchange Physics at 2014-03-24 04:32 (UCT), posted by SE-user venu
retagged Mar 24, 2014
this wiki entry seems sufficient to me en.wikipedia.org/wiki/Dalitz_plot . The mass you extract from the mass plot, once you know the kinematic region where it is clear, you can cut and clean a resonance.

This post imported from StackExchange Physics at 2014-03-24 04:32 (UCT), posted by SE-user anna v
no no. I know that density variations correspond to resonances but what I dont know is how the dense regions mathematically relate to the mass of the resonant particles.

This post imported from StackExchange Physics at 2014-03-24 04:32 (UCT), posted by SE-user venu
I'm sorry I'll make that more precise by saying that I know that the more dense regions on the plot may correspond to resonances but I don't understand how to calculate the mass of the resonant particles.

This post imported from StackExchange Physics at 2014-03-24 04:32 (UCT), posted by SE-user venu
Do you know about cuts in variables? From the link above: "For example, if particle A decays to particles 1, 2, and 3, a Dalitz plot for this decay could plot m12^2 on the x-axis and m23^2 on the y-axis." The two axis are the square of the invariant mass of the pairs of particles. The Daliz plot shows where another resonance may exist which can interfere with the fit for the mass in the projection. If you cut the second mass the fit ( a gaussian, or a breit-wigner) for the first can be clearer and unbiased.

This post imported from StackExchange Physics at 2014-03-24 04:32 (UCT), posted by SE-user anna v
The Dalitz plot is not for resonance discovery, but for a study of the three body state: virgilio.mib.infn.it/~dini/meson2004/img2.html .

This post imported from StackExchange Physics at 2014-03-24 04:32 (UCT), posted by SE-user anna v
yes I read about using dalitz plots for the other things that you have mentioned. I had to know if a resonance mass can also be found from dalitz plot. The link and the plot in the answer helps.

This post imported from StackExchange Physics at 2014-03-24 04:32 (UCT), posted by SE-user venu

+ 1 like - 0 dislike

 Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead. To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL. Please consult the FAQ for as to how to format your post. This is the answer box; if you want to write a comment instead, please use the 'add comment' button. Live preview (may slow down editor)   Preview Your name to display (optional): Email me at this address if my answer is selected or commented on: Privacy: Your email address will only be used for sending these notifications. Anti-spam verification: If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:p$\hbar$ysicsOve$\varnothing$flowThen drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds). To avoid this verification in future, please log in or register.