Graduate Differential cross section, double differential cross section, triple...

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Differential cross sections (DCS), double differential cross sections (DDCS), and triple differential cross sections (TDCS) are terms used in particle physics to describe scattering processes. DCS measures the probability of scattering into a specific solid angle, while DDCS adds an additional variable, often energy, to account for more detailed scattering information. TDCS further extends this by including yet another variable, providing even finer resolution in the analysis of scattering events. The naming convention reflects the number of independent variables involved in the measurement. Understanding these distinctions is crucial for interpreting experimental results in high-energy physics.
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What are the difference between? Why is the names?
There are differential cross section, double differential cross section, triple DCS.
What are the difference, and why is the names? Thanks.
 
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I am currently reading Kittel's Introduction to Solid State Physics and am confused by the terminology regarding phonons. On page 99 (8th ed.), regarding Eq. 27, Kittel writes: "The energy of an elastic mode of angular frequency ## \omega ## is ## \epsilon = (n + 1/2)\hbar\omega ## when the mode is excited to quantum number ## n ##; that is, when the mode is occupied by ## n ## phonons. This definition implies that: The mode (the harmonic oscillator) is the entity that possesses the wave...

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