- #1
fermi
- 76
- 5
I have a couple of questions about [itex] \Lambda^o \Sigma^o [/itex] mass difference:
(1) Does anyone know a reference to a publication (excluding publications with lattice calculations) where they calculate this difference? (Please don't get me wrong, lattice calculations are perfectly good way of computing, but that is not what I look for at the moment. I want something that will not only get the right numerical value, but also give me some intuitive idea why the numerical value is what it is.)
(2) Is there an intuitive explanation for the fact that there is any difference at all? [itex] \Lambda^o [/itex] and [itex] \Sigma^o [/itex] have the same quark content: uds. The observation that [itex] \Sigma^o [/itex] is part of an isospin triplett while [itex] \Lambda^o [/itex] is a singlet does not explain it. Why should the quantum state (ud+du)s be more massive than (ud-du)s? Since we are firmly convinced that the quarks are held together by gluons, and the gluons are completely flavor blind, coming up with an intuitive explanation for different uds masses must be difficult. (Also keep in mind that both Hyperons have the same [itex] {J}^{PC} [/itex] quantum numbers.) Even so, there must be one. Can anyone tell me what it is?
(1) Does anyone know a reference to a publication (excluding publications with lattice calculations) where they calculate this difference? (Please don't get me wrong, lattice calculations are perfectly good way of computing, but that is not what I look for at the moment. I want something that will not only get the right numerical value, but also give me some intuitive idea why the numerical value is what it is.)
(2) Is there an intuitive explanation for the fact that there is any difference at all? [itex] \Lambda^o [/itex] and [itex] \Sigma^o [/itex] have the same quark content: uds. The observation that [itex] \Sigma^o [/itex] is part of an isospin triplett while [itex] \Lambda^o [/itex] is a singlet does not explain it. Why should the quantum state (ud+du)s be more massive than (ud-du)s? Since we are firmly convinced that the quarks are held together by gluons, and the gluons are completely flavor blind, coming up with an intuitive explanation for different uds masses must be difficult. (Also keep in mind that both Hyperons have the same [itex] {J}^{PC} [/itex] quantum numbers.) Even so, there must be one. Can anyone tell me what it is?