- #1

patric44

- 308

- 40

- Homework Statement
- Φ = ((2l+1)/8pi^2) D^{j}_{MK}

- Relevant Equations
- why the nuclear rotor model wave function is written in terms of Wigner D functions?

hi guys

I am recently taking a Nuclear structure course, and have a lot of questions regarding the nuclear rotor model.

in most nuclear physics books the I have, the wave function associated with the rotor model of the nucleus is written in terms of the Wigner D functions , like the expression below

$$

\bra{\theta\;\phi\;\psi}\ket{JMK} = c(D^{J}_{MK}+(-1)^{J}D^{J}_{M-K})

$$

where c is a constant, I am a little bit familiar with the rotation matrix and its representation in the angular momentum basis , isn't the Wigner D functions is just the matrix elements of the rotation matrix in 3d ? , what is the relation between D functions and the eigen functions of the rotor model?

can anyone explain how the formula above is derived, or refer to a good book or a set of lecture notes in theoretical nuclear physics.

thanks in advance.

I am recently taking a Nuclear structure course, and have a lot of questions regarding the nuclear rotor model.

in most nuclear physics books the I have, the wave function associated with the rotor model of the nucleus is written in terms of the Wigner D functions , like the expression below

$$

\bra{\theta\;\phi\;\psi}\ket{JMK} = c(D^{J}_{MK}+(-1)^{J}D^{J}_{M-K})

$$

where c is a constant, I am a little bit familiar with the rotation matrix and its representation in the angular momentum basis , isn't the Wigner D functions is just the matrix elements of the rotation matrix in 3d ? , what is the relation between D functions and the eigen functions of the rotor model?

can anyone explain how the formula above is derived, or refer to a good book or a set of lecture notes in theoretical nuclear physics.

thanks in advance.