Undergrad What is the significance of the Lande g-factor in nuclear physics?

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The discussion centers on the significance of the Lande g-factor in nuclear physics, specifically addressing the confusion between the nuclear g-factor of the proton and that of an atom. The Lande g-factor is defined with values such as g_I ≈ 5.585 for the proton, while g_s ≈ 2 and g_L = 1 are also noted. The conversation highlights the importance of understanding the mass ratio of the electron to the proton in the context of the nuclear and Bohr magnetons, clarifying that the Wikipedia page discusses atomic rather than nuclear properties.

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Looking at the Wikipedia page for the Lande g-factor, I'm a bit confused. I thought that g_I\approx5.585, that of the proton, but then there is the line saying that
This last approximation is justified because g_I is smaller than g_j by the ratio of the electron mass to the proton mass.

https://en.wikipedia.org/wiki/Landé_g-factor

It makes sense that the nuclear and Bohr magnetons would differ by the mass ratio, but I thought g_s \approx 2, g_L=1, and g_I\approx5.585. Then the additional factors in the Lande calculation would account for the different J,S,F.
 
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I believe that the Wiki page is discussing atoms rather than nucleii.
 
You're right. I was confusing the nuclear g-factor of a proton with the nuclear g-factor of an atom.
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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