- #1

- 2,021

- 2,158

*not*necessarily explain/define them. The following is a list of such terms:

- ##\beta##-beat
- Tune of a beam
- Betatron coupling
- Linear coupling
- Amplitude detuning
- Dynamic aperture
- Difference resonance ##f_{1001}##, sum resonance ##f_{1010}## and fractional tunes (found in ref. [1])

5. Amplitude detuning is the variation of tune with single particle emittance.

6. The dynamic aperture (DA) defines the boundary in phase space beyond which particle motion becomes unstable.

But I still clearly don't know what this tune means.

For linear coupling (#4), I am interested in knowing the nature of the coupling.

If you do not wish to explain everything here and instead provide me with relevant papers that define/explain these terms, I will be happy to read them up.

Definitions of some of the basic terminology like emittance and beta function is given here:

https://www.lhc-closer.es/taking_a_closer_look_at_lhc/0.beta___emittance

__References__:

[1]: T. Persson & R. Tomás Phys. Rev. ST Accel. Beams 17, 051004

[2]: E. H. Maclean

*et al.*Phys. Rev. ST Accel. Beams 17, 081002