dorsal/arxiv
View SchemaOn the possibility of a discontinuous quark-mass dependence of baryon octet and decuplet masses
| Authors | A. Semke, M. F. M. Lutz |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0606027 |
| URL | https://arxiv.org/abs/nucl-th/0606027 |
| DOI | 10.1016/j.nuclphysa.2007.02.011 |
| Journal | Nucl.Phys. A789 (2007) 251-259 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We compute the quark-mass dependence of the baryon octet and decuplet masses within the $\chi$-MS scheme at the one-loop level. The results are confronted with recent lattice QCD simulations of the MILC collaboration. A fair reproduction of the quark-mass dependence as suggested by the lattice simulations is obtained up to pion masses of about 700 MeV. Based on the chiral one-loop results we predict that the dependence of the baryon octet and decuplet masses on the quark-masses is discontinuous. Typically the pion-mass dependence is smooth up to about 300 MeV only. This is a consequence of self consistency imposed on the partial summation, i.e. the masses used in the loop functions are identical to those obtained from the baryon self energies. The 'mysterious' quark-mass dependence of the Xi mass predicted by the MILC collaboration is recovered in terms of a discontinuous chiral extrapolation.
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"abstract": "We compute the quark-mass dependence of the baryon octet and decuplet masses\nwithin the $\\chi$-MS scheme at the one-loop level. The results are confronted\nwith recent lattice QCD simulations of the MILC collaboration. A fair\nreproduction of the quark-mass dependence as suggested by the lattice\nsimulations is obtained up to pion masses of about 700 MeV. Based on the chiral\none-loop results we predict that the dependence of the baryon octet and\ndecuplet masses on the quark-masses is discontinuous. Typically the pion-mass\ndependence is smooth up to about 300 MeV only. This is a consequence of self\nconsistency imposed on the partial summation, i.e. the masses used in the loop\nfunctions are identical to those obtained from the baryon self energies. The\n\u0027mysterious\u0027 quark-mass dependence of the Xi mass predicted by the MILC\ncollaboration is recovered in terms of a discontinuous chiral extrapolation.",
"arxiv_id": "nucl-th/0606027",
"authors": [
"A. Semke",
"M. F. M. Lutz"
],
"categories": [
"nucl-th",
"hep-lat"
],
"doi": "10.1016/j.nuclphysa.2007.02.011",
"journal_ref": "Nucl.Phys. A789 (2007) 251-259",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "On the possibility of a discontinuous quark-mass dependence of baryon octet and decuplet masses",
"url": "https://arxiv.org/abs/nucl-th/0606027"
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