Hello,(adsbygoogle = window.adsbygoogle || []).push({});

again a question, this time concerning the wave function of particles. I am currently working through the Berger.

1) Why is the position-wavefunction always symmetric?

2) It is said that no 1/2^{+}[TEX]\left|uuu\right\rangle[/TEX] is allowed because this flavor-wavefunction is symmetric as is the position-wavefunction. The color-singlett is antisymmetric and since a baryon is a fermion, the spin-wavefunction would have to be symmetric. This is the case for 3/2 but not for 1/2. That is true. However, the spin-wavefunction for 1/2 is mixed symmetric, e.g.

[TEX]\frac{1}{\sqrt 2}\left|\uparrow\right\rangle\left(\left|\uparrow\downarrow\right\rangle - \left|\downarrow\uparrow\right\rangle \right)[/TEX].

What prevents me to just symmetrize the spinwave-function to get an overall antisymmetric wavefunction? In similar other cases this is done as well so why can't we do that here?

3) Berger also gives an explicit expression for the Rho^{+}-Meson:

[TEX]\left|\rho^+\right\rangle = \frac{1}{\sqrt 3}\left(\left|R\bar R\right\rangle + \left|B\bar B\right\rangle + \left|G\bar G\right\rangle\right)\frac{1}{\sqrt 2}\left(\left|\u\bar d right\rangle - \left|\bar d u\right\rangle\right)\frac{1}{\sqrt 2}\left(\left|\uparrow\downarrow\right\rangle + \left|\downarrow\uparrow\right\rangle\right)\frac{\leftR\left(r\right)\right\rangle}{\sqrt{4\pi}}[/TEX].

A meson is a boson, but isn't this wavefunction antisymmetric? He develops this formula by taking into account the G-parity - but for me this is antisymmetric. If I change the places of the two quarks, the flavor-wavefunction gives a minus, doesn't it?

A big thanks beforehand! Every answer to any of the three questions above would help me a lot!

Blue2script

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Particle-wave function

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads - Particle wave function | Date |
---|---|

B Interference pattern after a particle is detected? | Feb 20, 2017 |

B Do we measure the particle or the wavefunction? | Oct 30, 2016 |

I Identical particles distinguished by their trajectory? | Apr 18, 2016 |

I Wave-particle duality and localization | Mar 11, 2016 |

Wave function of multiple particles | Jun 30, 2015 |

**Physics Forums - The Fusion of Science and Community**