Quantum numbers for p-mesons substituted for electrons

[jjson775]

Homework Statement

The p-meson has a charge of -e, a spin quantum number of 1, and a mass 1 507 times that of the electron. Imagine that the electrons in atoms are replaced by p-mesons, and list the possible sets of quantum numbers for p-mesons in the 3D sub shell.

Relevant Equations

ms = 1

n = 3, l = 2, m_{e =} -2, -1, 0, 1, 2. m_s = -1 or 1. The correct answer is that m_s can also be 0. Why?

 

[jbsteele]

The ms value is the magnetic quantum number, which specifies the total angular momentum of an electron in an atom. Since the l value (angular momentum quantum number) for this electron is 2, the magnetic quantum number can take on values from -2 to +2. Therefore, ms can also be 0.