What is the g-factor in the BMT equation?

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in Bargmann–Michel–Telegdi equation
<br /> {\;\,dS^\alpha\over d\tau}={e\over m}\bigg[{g\over2}F^{\alpha\beta}S_\beta+\left({g\over2}-1\right)U^\alpha\left(S_\lambda F^{\lambda\mu}U_\mu\right)\bigg]\;,<br />
there is g-factor present. I'm a bit confused about its definition. If it is defined as
<br /> \boldsymbol{\mu}_S = \frac{g_{e,p}\mu_\mathrm{B}}{\hbar}\boldsymbol{S}\;,<br />
where for electron it is g_e=−2.0023193043622 and for proton g_p= 5.585694713, then in BMT equation one should probably use its negative g=-g_{e,p} and not the absolute value.
Is this correct?
 
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μ is always in opposite direction to spin for electron and in same direction for proton.one always use the magnitude of g while dealing with it.
 
So in BMT g is the absolute value of g-factor?
 
yes,it is always the absolute value.I hope it is same as the lande factor.However what is μB in your eqn.
 
In my case \mu_B is nuclear magneton \mu_N={e\hbar\over2m_P} as I'm dealing with a proton. Thanks for your answer.
 
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