### Abstract

We study spin 1/2 isoscalar and isovector, even and odd parity candidates for the ^{+}(1540) pentaquark particle using large scale lattice QCD simulations. Previous lattice works led to inconclusive results because so far it has not been possible to unambiguously identify the known scattering spectrum and tell whether additionally a genuine pentaquark state also exists. Here we carry out this analysis using several possible wave functions (operators), including spatially non-trivial ones with unit orbital angular momentum. The cross correlator matrix we compute is 14×14 with 60 non-vanishing elements. We can clearly distinguish the lowest scattering state(s) in both parity channels up to above the expected location of the pentaquark, but we find no trace of the latter. We conclude that there are most probably no pentaquark bound states at our quark masses, corresponding to m_{π}=400-630 MeV. However, we cannot rule out the existence of a pentaquark state at the physical quark masses or pentaquarks with a more exotic wave function.

Original language | English |
---|---|

Article number | 008 |

Journal | Proceedings of Science |

Volume | 22 |

Publication status | Published - Jan 1 2005 |

Event | 29th Johns Hopkins Workshop on Current Problems in Particle Theory: Strong Matter in the Heavens, JHW 2005 - Budapest, Hungary Duration: Aug 1 2005 → Aug 3 2005 |

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### ASJC Scopus subject areas

- General

### Cite this

^{+}pentaquark on the lattice.

*Proceedings of Science*,

*22*, [008].

**A comprehensive search for the ^{+}pentaquark on the lattice.** / Katz, S.; Csikor, F.; Fodor, Z.; Kovács, T.; Tóth, B. C.

Research output: Contribution to journal › Conference article

^{+}pentaquark on the lattice',

*Proceedings of Science*, vol. 22, 008.

^{+}pentaquark on the lattice. Proceedings of Science. 2005 Jan 1;22. 008.

}

TY - JOUR

T1 - A comprehensive search for the +pentaquark on the lattice

AU - Katz, S.

AU - Csikor, F.

AU - Fodor, Z.

AU - Kovács, T.

AU - Tóth, B. C.

PY - 2005/1/1

Y1 - 2005/1/1

N2 - We study spin 1/2 isoscalar and isovector, even and odd parity candidates for the +(1540) pentaquark particle using large scale lattice QCD simulations. Previous lattice works led to inconclusive results because so far it has not been possible to unambiguously identify the known scattering spectrum and tell whether additionally a genuine pentaquark state also exists. Here we carry out this analysis using several possible wave functions (operators), including spatially non-trivial ones with unit orbital angular momentum. The cross correlator matrix we compute is 14×14 with 60 non-vanishing elements. We can clearly distinguish the lowest scattering state(s) in both parity channels up to above the expected location of the pentaquark, but we find no trace of the latter. We conclude that there are most probably no pentaquark bound states at our quark masses, corresponding to mπ=400-630 MeV. However, we cannot rule out the existence of a pentaquark state at the physical quark masses or pentaquarks with a more exotic wave function.

AB - We study spin 1/2 isoscalar and isovector, even and odd parity candidates for the +(1540) pentaquark particle using large scale lattice QCD simulations. Previous lattice works led to inconclusive results because so far it has not been possible to unambiguously identify the known scattering spectrum and tell whether additionally a genuine pentaquark state also exists. Here we carry out this analysis using several possible wave functions (operators), including spatially non-trivial ones with unit orbital angular momentum. The cross correlator matrix we compute is 14×14 with 60 non-vanishing elements. We can clearly distinguish the lowest scattering state(s) in both parity channels up to above the expected location of the pentaquark, but we find no trace of the latter. We conclude that there are most probably no pentaquark bound states at our quark masses, corresponding to mπ=400-630 MeV. However, we cannot rule out the existence of a pentaquark state at the physical quark masses or pentaquarks with a more exotic wave function.

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M3 - Conference article

AN - SCOPUS:85055839488

VL - 22

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

M1 - 008

ER -