All Questions
Tagged with scattering-cross-section kinematics
9
questions
0
votes
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answers
34
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Relation bitween Mandelstam Variables in three-body final state
What is the relation between Mandelstam variables in the three body final state?
There are 5 independent Mandelstam variables. What is the relationship between them?
- 11
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votes
1
answer
63
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How to Express the Cross Section of a Three-Body Final State Scattering in Terms of Invariant Masses $s_{ij}$?
I'm working on calculating the cross section for a scattering process that results in three bodies in the final state. My goal is to express the cross section in terms of the invariant masses $s_{ij}$...
- 11
3
votes
1
answer
495
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Phase space factor for a two-body decay
I was trying to understand how pion decays to muons and not electrons because of helicity suppression. So I was trying to figure out the ratio of the decay widths.
PDG review for kinematics (...
- 131
0
votes
1
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222
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Kinematics of 4 body decays for Higgs to 4 leptons
I would like to calculate the decay width of the Higgs boson $h$ to 4 leptons via $ZZ^*$ intermediate states. I just did a similar calculation for $h$ to $W^{\pm}$ and 2 fermions via $WW^*$, so I am ...
- 65
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64
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Can I obtain the cross sections of my reaction if I have the Mandelstam variable from a simulation?
I am working in a $a+b\to c+d$ process and I was able to obtain the initial and final four-momentum of the reaction, and thus $s$, $t$, and $u$. But I was wondering, can I calculate the cross-section ...
- 103
3
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192
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Dark matter thermally averaged cross section
I'm trying to rederive the results of this classic paper:
https://doi.org/10.1016/0550-3213(91)90438-4
to find the thermally averaged cross-section. I am struggling with a change of variables and ...
- 337
0
votes
2
answers
1k
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Calculating the charge density from a form factor
For an atomic form factor $F(\textbf q)$, the corresponding charge density distribution is given by
$$ \rho(\textbf r) = \frac{1}{(2\pi)^3}\int\text{d}^3 \textbf q \,F(\textbf q)\,\text{e}^{-\text{i}\...
- 2,648
1
vote
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answers
128
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exchanged momentum in Compton scattering
I am trying to resolve a confusion regarding scattering kinematics. I am considering Compton scattering, i.e. a photon with four-momentum $k$ scatters on an electron with four-momentum $p$, the final ...
- 11
0
votes
1
answer
59
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From infinitesimal momentum volume to infinitesimal rapidity & tranverse momentum
I'm trying to derive a relationship given in a paper which is used to obtained a differential cross-section distribution in function of rapidity and transverse momentum of final state particles,
$$
\...
- 125