- #1
Sebastian
- 17
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Homework Statement
This is for a project in String Theory, but it's actually a curve fitting question. I've derived the two equations given below, for the energy [itex]E[/itex] and angular momentum [itex]J[/itex] of a meson as a function of some quantities [itex]\omega, T, x[/itex]. Now, I have experimental data for [itex]E[/itex] as a function of [itex]J[/itex] for each meson (for example, for the rho meson E(1) = 775.5 MeV, E(2) = 1318.3 MeV, etc.). I need to use the data in order to extract [itex]\omega, T, x[/itex] for each meson. Since the functions I found are not invertible, I don't know how to continue from here. Any help would be appreciated :)
Homework Equations
[itex]E = \frac{2T}{\omega}\left(\arcsin x + \frac{1}{x}\sqrt{1-x^2}\right)[/itex]
[itex]J = \frac{T}{\omega^2}\left(\arcsin x + x \sqrt{1-x^2}\right)[/itex]
The Attempt at a Solution
See above.