- #1
maverick280857
- 1,789
- 4
Hi everyone,
I'm looking for books or resources where I can read about things like measurement of cross section, cross-section asymmetry and polarization in the context of pion-neutron scattering, but also more generally in particle physics.
By measurement, I don't mean experiments alone, but rather how the theoretical tools of density matrix and scattering matrix are employed here. I am able to find scattered references of some of these things in some books on quantum field theory, but in books such as Griffiths, Halzen and Martin, and Perkins, there is no mention of these methods.
Specifically, if the 2 x 2 scattering matrix has the form,
[tex]T = f + i g \boldsymbol{\sigma}\cdot\boldsymbol{n}[/tex]
then what is the cross-section, polarization, and cross-section asymmetry? How does one define these quantities in terms of T (I know how the cross-section is defined), and what is the physical significance of polarization here? I've been reading Landau and Lifgarbagez vol 4 for this, but I don't think I have a good understanding of these ideas.
I would appreciate if someone could point me in the right direction. I do understand that the problem is to reconstruct f and g, because the quantities go as |f|^2 + |g|^2, |f|^2 - |g|^2, Re(fg*) and Im(f*g). I just want to read about all this in some detail. Are there books which talk about this?
Thanks in advance.
I'm looking for books or resources where I can read about things like measurement of cross section, cross-section asymmetry and polarization in the context of pion-neutron scattering, but also more generally in particle physics.
By measurement, I don't mean experiments alone, but rather how the theoretical tools of density matrix and scattering matrix are employed here. I am able to find scattered references of some of these things in some books on quantum field theory, but in books such as Griffiths, Halzen and Martin, and Perkins, there is no mention of these methods.
Specifically, if the 2 x 2 scattering matrix has the form,
[tex]T = f + i g \boldsymbol{\sigma}\cdot\boldsymbol{n}[/tex]
then what is the cross-section, polarization, and cross-section asymmetry? How does one define these quantities in terms of T (I know how the cross-section is defined), and what is the physical significance of polarization here? I've been reading Landau and Lifgarbagez vol 4 for this, but I don't think I have a good understanding of these ideas.
I would appreciate if someone could point me in the right direction. I do understand that the problem is to reconstruct f and g, because the quantities go as |f|^2 + |g|^2, |f|^2 - |g|^2, Re(fg*) and Im(f*g). I just want to read about all this in some detail. Are there books which talk about this?
Thanks in advance.