How does a magnetic field affect the decay of a meson into charged pions?

[mt948434]

Homework Statement

hello everybody I am new too these forums and am looking for a little help on a problem. I don't want anyone to give me the answer so i will just post the basic question and any help would be appreciated.

If an uncharged meson decays into two charged pions in the presence of a magnetic field. If the mass of a pion, magnitude of the magnetic field and the radius of the pions path are all known, I need to find the pions momenta and speed, as well as the mass of the meson.

thanks for any help!

Homework Equations

conservation of reletivistic momentum and energy

E=gamma mc^2 p=gamma mv

a=v^2/R

The Attempt at a Solution

I am a little lost on how to get started on the question. I wrote out the equations for conservation of momentum and energy, but am a little confused on how to integrate the magnetic field and circular motion parts of the question.

 

[buffordboy23]

The magnetic field would affect the motion of the charged particles, essentially causing them to have circular motion--perhaps helical motion depending on the resulting momenta and magnetic field direction. This equation may help

$$\vec{F} = q\vec{v}\times\vec{B} = qvBsin\theta$$