A What are Z+, Z-, N+, and N- in the Axial Charge Definition?

angweieng
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Understand N+, N-, Z+, and Z- and how to calculate them with spin consideration.
Hi all,

I was trying to understand an equation where:
axial charge, ##G_A=g^P_A(Z_+-Z_-)+ g^N_A(N_+-N_-)##

What is the meaning of ##Z_+## , ##Z_-##, ##N_+## and ##N_-##? From the article I read, axial charge will be zero when the nuclei has zero spin. What if I have Germanium 73 which has (9/2+) spin? How do I calculate for ##Z_+## , ##Z_-##, ##N_+## and ##N_-##?

##g^P_A## and ## g^N_A## here have constant values.

I don't have background of high energy physics but need the equation for my work, I really appreciate any help for this! Thank you so much!
 
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angweieng said:
Summary:: Understand N+, N-, Z+, and Z- and how to calculate them with spin consideration.

From the article I read, axial charge will be zero when the nuclei has zero spin.
What article was one reading?
angweieng said:
Summary:: Understand N+, N-, Z+, and Z- and how to calculate them with spin consideration.

What if I have Germanium 73 which has (9/2+) spin?

Wouldn't the Z+,Z-;N+,N- be the number of spin states (+,-) respectively, where Z and N represent the number of protons and neutrons, respectively, in those spin states? To have a spin +9/2, means the 9 nucleons are unpaired.

Is one asking how to predict 73Ge will have +9/2 spin?

Is one particularly interested in 73Ge? 93Nb and 113In are also stable odd(Z)-even(N) nuclides with +9/2.
 
Astronuc said:
What article was one reading?Wouldn't the Z+,Z-;N+,N- be the number of spin states (+,-) respectively, where Z and N represent the number of protons and neutrons, respectively, in those spin states? To have a spin +9/2, means the 9 nucleons are unpaired.

Is one asking how to predict 73Ge will have +9/2 spin?

Is one particularly interested in 73Ge? 93Nb and 113In are also stable odd(Z)-even(N) nuclides with +9/2.
Hi, thank you so much, the reason I ask to identify the ##Z_+## and ##Z_-## or ##N_+## and ##N_-## because I wish to calculate ##G_A## value. Assuming that I know the constant values of ##g^p_A## and ##g^N_A##, what is the ##Z_+## and ##Z_-## or ##N_+## and ##N_-##?

Now I understand that ##Z_+## and ##Z_-## mean the number of proton with spin up and spin down (same goes to neutron). In my case, my interested isotope is Ge73. In this case can I assumed that:
##Z_+## = 16, ##Z_-## = 16
##N_+## = 21, ##N_-## =20

Is it correct? Thank you so much again.
 
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