Calculating Particle Decay in a Magnetic Field

mt948434
Messages
3
Reaction score
0
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!
 
Physics news on Phys.org
1. There is a formula for the pion's momentum in terms of the radius and B.
2. Given the pion momentum, and knowing its mass, use the formula for the pion energy.
3. From p and E, you can find the pion velocity.
4. To get the meson's mass, you have to know the original angle between the two pions momenta. Then use M^2=(E_1+E_2)^2-({\vec p}_1+{\vec p}_2)^2.
 
thanks a lot for your help
 

Thread 'A sufficient condition for integrability of equation ##\nabla g=0##'

In Philippe G. Ciarlet's book 'An introduction to differential geometry', He gives the integrability conditions of the differential equations like this: $$ \partial_{i} F_{lj}=L^p_{ij} F_{lp},\,\,\,F_{ij}(x_0)=F^0_{ij}. $$ The integrability conditions for the existence of a global solution ##F_{lj}## is: $$ R^i_{jkl}\equiv\partial_k L^i_{jl}-\partial_l L^i_{jk}+L^h_{jl} L^i_{hk}-L^h_{jk} L^i_{hl}=0 $$ Then from the equation: $$\nabla_b e_a= \Gamma^c_{ab} e_c$$ Using cartesian basis ## e_I...
View full post »
Thread 'Dirac's integral for the energy-momentum of the gravitational field'

Thread 'Dirac's integral for the energy-momentum of the gravitational field'

See Dirac's brief treatment of the energy-momentum pseudo-tensor in the attached picture. Dirac is presumably integrating eq. (31.2) over the 4D "hypercylinder" defined by ##T_1 \le x^0 \le T_2## and ##\mathbf{|x|} \le R##, where ##R## is sufficiently large to include all the matter-energy fields in the system. Then \begin{align} 0 &= \int_V \left[ ({t_\mu}^\nu + T_\mu^\nu)\sqrt{-g}\, \right]_{,\nu} d^4 x = \int_{\partial V} ({t_\mu}^\nu + T_\mu^\nu)\sqrt{-g} \, dS_\nu \nonumber\\ &= \left(...
View full post »

Thread 'Hawking After 54 Years Confirmed: BH surfaces don't shrink'

Abstract The gravitational-wave signal GW250114 was observed by the two LIGO detectors with a network matched-filter signal-to-noise ratio of 80. The signal was emitted by the coalescence of two black holes with near-equal masses ## m_1=33.6_{-0.8}^{+1.2} M_{⊙} ## and ## m_2=32.2_{-1. 3}^{+0.8} M_{⊙}##, and small spins ##\chi_{1,2}\leq 0.26 ## (90% credibility) and negligible eccentricity ##e⁢\leq 0.03.## Postmerger data excluding the peak region are consistent with the dominant quadrupolar...
View full post »

Similar threads

Consider the hypothetical decay of the Φ(1020) meson into 3 pions
Replies
4
Views
2K
I How often would a ϕ meson decay to a electron-positron pair?
Replies
2
Views
2K
Relativistic Decay: Calculating Pion Momentum
Replies
3
Views
1K
Lorentz Transformation For Moving Particles
Replies
1
Views
1K
I Do black holes have magnetic fields?
Replies
44
Views
3K
I What causes the magnetic force in a uniform magnetic field?
Replies
20
Views
2K
Synchrotron Radiation: Charge Loss of Relativistic Particles in Magnetic Fields
Replies
9
Views
2K
How can I calculate the speed of a π+ meson based on its decay distance?
Replies
24
Views
3K
I Does a Magnet Curve Spacetime More Than a Non-Magnetic Mass?
Replies
20
Views
2K
I What is the latest discovery in tetraquarks by LHCb?
Replies
4
Views
3K

Hot Threads

Recent Insights

Back
Top