A parametrization of the baryon octet and decuplet masses
| dc.creator | Ha, Phuoc | |
| dc.date | 2007-11-27 | |
| dc.date | 2008-05-05 | |
| dc.date.accessioned | 2026-07-07T11:38:57Z | |
| dc.date.available | 2026-07-07T11:38:57Z | |
| dc.description | We construct a general parametrization of the baryon octet and decuplet mass operators including the three-body terms using the unit operator and the symmetry-breaking factors $M^d=\textrm{diag} (0,1,0)$ and $M^s=\textrm{diag} (0,0,1)$ in conjunction with the spin operators. Our parametrization has the minimal number of operators needed to describe all the octet and decuplet masses. Investigating the likely size of the three-body terms, we find that contributions of the three-body hypercharge splittings are comparable to those from the one- and two-body isospin splittings and that contributions of the three-body isospin splitting operators are very small. We prove that, in dynamical calculations, one must go to three loops to get the three-body terms. We also find that the suggested hierarchy of sizes for terms in the most general expression for baryon masses that involve multiple factors of $M^d$ and/or $M^s$ does not hold strictly for dynamical calculations in heavy baryon chiral perturbation theory: terms of a given order in a meson loop expansion may appear both with the expected factors of $M^d$ and $M^s$, and with one factor more. | |
| dc.description | 22 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0711.4364 | |
| dc.identifier | http://arxiv.org/abs/0711.4364 | |
| dc.identifier | J.Phys.G35:075006,2008 | |
| dc.identifier | doi:10.1088/0954-3899/35/7/075006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/199752 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | A parametrization of the baryon octet and decuplet masses | |
| dc.type | text |