Research Problem - 4-body Decay

[crad5]

Research Problem -- 4-body Decay

Hello,
I am trying to model a four body decay for a PDF I am creating, but I am having some trouble coming up with the "particle mass dependency" part of the equation - see http://pdg.lbl.gov/2009/reviews/rpp2009-rev-kinematics.pdf page 3 under 'two body decays' for an idea of what I am talking about - equation 38.16. If you look on page four, equation (38.20a) and ((38.20b)) this gives the mass dependency part of the equation (multiply them together) for three body decays, and I was hoping someone with a bit of a theoretical background could help me work through a four body integral.

Thanks!

Craig

 

[ansgar]

I actually found such paper yesterday, I can send it to you if you send me your personal e-mail as a personal message to me. Dont post it here in the public forum!

 

[Entropia]

Hello Craig,

I understand your research problem and I can see why you are having trouble with the four body decay. The mass dependency part of the equation becomes more complex as the number of particles involved increases. However, there are several approaches you can take to solve this problem.

One approach is to use the conservation laws for energy and momentum in the decay process. This will allow you to write down a set of equations that relate the masses and momenta of the particles involved. From there, you can solve for the mass dependency part of the equation by using numerical methods or by making simplifying assumptions.

Another approach is to use theoretical models for the decay process, such as the R-matrix theory or the Bethe-Salpeter equation. These models can provide a framework for calculating the mass dependency part of the equation, but they may require some knowledge of quantum mechanics and nuclear physics.

I would also suggest consulting with other experts in the field, as they may have insights or techniques that can help you with your specific problem. Additionally, you can look into existing literature on four body decays to see if there are any similar cases that can provide guidance for your research.

I hope this helps and wish you all the best in your research.