Lattice calculation of the κ meson

FU Zi-Wen

doi:10.1088/1674-1137/36/6/003

Chinese Physics C> 2012, Vol. 36> Issue(6) : 489-497 DOI: 10.1088/1674-1137/36/6/003

Lattice calculation of the κ meson

FU Zi-Wen ^,

Key Laboratory of Radiation Physics and Technology (Sichuan University), Ministry of Education; Institute of Nuclear Science and Technology, Sichuan University, Chengdu 610064, China

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Abstract：
We study the κ meson in 2+1 flavor QCD with sufficiently light u/d quarks. Using numerical simulations, we measure the point-to-point κ correlators in the "Asqtad" improved staggered fermion formulation. We then analyze these correlators using rooted staggered chiral perturbation theory (rSχPT), with particular attention paid to bubble contribution. After chiral extrapolation, we obtain the physical κ mass with 828±97 MeV, which is within the recent experimental value of 800-900 MeV. These numerical simulations are carried out with MILC 2+1 flavor gauge configurations at a lattice spacing of a ≈ 0.12 fm.

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[1]

Nakamura K et al. (Particle Data Group). J. Phys. G, 2010, 37: 075021[2] Bugg D. Phys. Lett. B, 2006, 632: 471[3] Aitala M et al. Phys. Rev. Lett., 2002, 89: 121801[4] Ablikim M et al. Phys. Lett. B, 2006, 633: 681[5] Prelovsek S, Dawson C, Izubuchi T et al. Phys. Rev. D, 2004, 70: 094503[6] Mathur N, Alexandru A, CHEN Y et al. Phys. Rev. D, 2007, 76: 114505[7] McNeile C, Michael C. Phys. Rev. D, 2006, 74: 014508[8] Kunihiro T, Muroya S, Nakamura A et al. Phys. Rev. D, 2004, 70: 034504[9] Kunihiro T, Muroya S, Nakamura A et al. Nucl. Phys. Proc. Suppl., 2004, 129: 242[10] Wada H, Kunihiro T, Muroya S et al. Phys. Lett. B, 2007, 652: 250[11] FU Zi-Wen, DeTar C. Lattice QCD Study of the κ Scalar Meson. Chin. Phys. C (HEP NP), 2011, 35(12): 1079[12] Prelovsek S. PoS, LAT2005, 2006, 085[13] Prelovsek S. Phys. Rev. D, 2006, 73: 014506[14] FU Zi-Wen. Hybrid Meson Decay from the Lattice. UMI-32-34073, 2006, arXiv:hep-lat/1103.1541[15] Bernard C, DeTar C, FU Z et al. Phys. Rev. D, 2007, 76: 094504[16] FU Zi-Wen. Chin. Phys. Lett., 2011, 28(8): 081202[17] FU Zi-Wen, DeTar C. Chin. Phys. C (HEP NP), 2011, 35(10): 896[18] Aubin C et al. Phys. Rev. D, 2004, 70: 114501[19] Bazavov A et al. Rev. Mod. Phys., 2010, 82: 1349[20] Aubin C, Bernard C. Nucl. Phys. B, Proc. Suppl., 2004, 129: 182[21] Aubin C, Bernard C. Phys. Rev. D, 2003, 68: 034014[22] Aubin C et al. Phys. Rev. D, 2004, 70: 094505[23] Bernard C et al. Phys. Rev. D, 2001, 64: 054506[24] Damgaard P, Splittorff K. Phys. Rev. D, 2000, 62: 054509[25] Bardeen W, Duncan A, Eichten E et al. Phys. Rev. D, 2001, 65: 014509[26] Bernard C et al. Phys. Rev. D, 2011, 83: 034503[27] Nebreda J, Pelaez J. Phys. Rev. D, 2010, 81: 054035[28] Lellouch L, Lüscher M. Commun. Math. Phys., 2001, 219: 31

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FU Zi-Wen. Lattice calculation of the κ meson[J]. Chinese Physics C, 2012, 36(6): 489-497. doi: 10.1088/1674-1137/36/6/003

FU Zi-Wen. Lattice calculation of the κ meson[J]. Chinese Physics C, 2012, 36(6): 489-497. doi: 10.1088/1674-1137/36/6/003 shu

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Received: 2011-08-29
Revised: 2011-10-09

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Lattice calculation of the κ meson

Corresponding author: FU Zi-Wen,

Key Laboratory of Radiation Physics and Technology (Sichuan University), Ministry of Education; Institute of Nuclear Science and Technology, Sichuan University, Chengdu 610064, China

Received Date: 2011-08-29

Accepted Date: 2011-10-09

Available Online: 2012-06-05

Abstract: We study the κ meson in 2+1 flavor QCD with sufficiently light u/d quarks. Using numerical simulations, we measure the point-to-point κ correlators in the "Asqtad" improved staggered fermion formulation. We then analyze these correlators using rooted staggered chiral perturbation theory (rSχPT), with particular attention paid to bubble contribution. After chiral extrapolation, we obtain the physical κ mass with 828±97 MeV, which is within the recent experimental value of 800-900 MeV. These numerical simulations are carried out with MILC 2+1 flavor gauge configurations at a lattice spacing of a ≈ 0.12 fm.

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Lattice calculation of the κ meson

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