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What is "A" in AGeV?

Physics Asked on September 29, 2021

AGeV means GeV per nucleon. But why A letter is used for such a short cut? Why not NGeV, for example?

3 Answers

This is an artifact of a long established coding for nuclei

  • $Z$ -- the "atomic number" is the number of protons in the nucleus(or occasionally the "proton number")
  • $A$ -- the "mass number" the number of nucleons in the nucleus

There is also the not often used

  • $N$ -- the "neutron number"

The per-nucleon energy of course applies to both the protons and the neutrons, so you want $A$.


And yeah, the use of these letters doesn't make much sense, but it has been that way for a long, long time.

Correct answer by dmckee --- ex-moderator kitten on September 29, 2021

The $A$ is a variable; it's actually $Atext{ GeV}$, where $A$ is the mass number.

For example, RHIC has run Au-Au collisions at a beam energy of $100Atext{ GeV}$ (among other values). You would interpret this as $100A$ being the number of GeV. With gold nuclei, $A = 197$, and so that is $(100times 197)text{ GeV} = 19700text{ GeV}$ total energy per nucleus.

Answered by David Z on September 29, 2021

N.GeV would be confusing as the symbol N is commonly used to denote the number of neutrons.

From the Wikipedia article on Atomic Number:

The atomic number, Z, should not be confused with the mass number, A, which is the number of nucleons, the total number of protons and neutrons in the nucleus of an atom. The number of neutrons, N, is known as the neutron number of the atom; thus, A = Z + N.

Answered by Johannes on September 29, 2021

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