I need to write an eigenstate of total angular momentum of three particle.(adsbygoogle = window.adsbygoogle || []).push({});

In particular I use the j=5/2 orbital of single-particle (with six projections...) and I have to construct eigenstate for J=j_1+j_2+j_3 to write down anti-symmetric eigenstates.

For example, I tried to construct J=5/2 M=1/2 (it would be composed by two determinants) but I didn't be able to to this; I coupled first j_1+j_2 and then j_12 with j_3 (the 3rd components of j of single particle is fixed to have M=m_1+m_2+m_3,) but I didn't obtaine any determinant.

Who can be able to calculate this for me?

Thank's

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# Very difficult problem for you

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