Scalar meson spectroscopy with a fine lattice

  • With sufficiently light u and d quarks the isovector (a0) and isosinglet (f0) scalar meson propagators are dominated at large distances by two-meson states. In the staggered fermion formulation of lattice QCD, taste-symmetry breaking causes a proliferation of multihadron states that complicates the analysis of these channels. Of special interest is the bubble contribution, which makes a considerable contribution to these channels. Using numerical simulation we have measured the correlators for both a0 and f0 channels in the “Asqtad” improved staggered fermion formulation in a MILC fine (a=0.09 fm) lattice ensemble. We analyze those correlators using rooted staggered chiral perturbation theory (rSχPT) and achieve chiral couplings that are well consistent with previous determinations.
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  • [1] Bernard C, Golterman M, Shamir Y. Phys. Rev. D, 2006, 73: 1145112 Bernard C. Phys. Rev. D, 2006, 73: 1145033 Shamir Y. Phys. Rev. D, 2007, 75: 0545034 Stephen R. Sharpe. PoS, LAT2006, 2006. 0225 Bernard C, Golterman M, Shamir Y. PoS, LAT2006. 2007. 2056 Durr S, Hoelbling C. Phys. Rev. D, 2004, 69: 0345037 Follana E, Hart A, Davies C T H. Phys. Rev. Lett., 2004, 93: 2416018 Follana E, Hart A, Davies C T H, Mason Q. Phys. Rev. D, 2005, 72: 0545019 Durr S, Hoelbling C, Wenger U. Phys. Rev. D, 2004, 70: 09450210 Durr S, Hoelbling C. Phys. Rev. D, 2005, 71: 05450111 Bernard C et al. PoS, LAT2005. 2006. 11412 Bernard C et al. PoS, LAT2006, 2007. 16313 Aubin C, Bernard C. Phys. Rev. D, 2003, 68: 03401414 Aubin C, Bernard C. Phys. Rev. D, 2003, 68: 07401115 Aubin C et al. Phys. Rev. D, 2004, 70: 11450116 Billeter B, DeTar C, Osborn J. Phys. Rev. D, 2004, 70: 07750217 Aubin C et al. Phys. Rev. D, 2004, 70: 09450518 Prelovsek S. PoS, LAT2005, 2006. 08519 Prelovsek S. Phys. Rev. D, 2006, 73: 01450620 FU Zi-Wen. Hybrid Meson Decay from the Lattice. UMI-32-34073, 200621 Bernard C. Phys. Rev. D, 2007, 76: 09450422 Aubin C, Bernard C. Nucl. Phys. Proc. Suppl., 2004, 129: 18223 Bernard C W et al. Phys. Rev. D, 2001, 64: 05450624 Damgaard P H, Splittor K. Phys. Rev. D, 2000, 62: 05450925 DONG Shao-Jing, LIU Ke-Fei. Phys. Lett. B, 1994, 328: 13026 Bazavov A et al. Rev. Mod. Phys., 2010, 82: 1349
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FU Zi-Wen and Carleton DeTar. Scalar meson spectroscopy with a fine lattice[J]. Chinese Physics C, 2011, 35(10): 896-901. doi: 10.1088/1674-1137/35/10/002
FU Zi-Wen and Carleton DeTar. Scalar meson spectroscopy with a fine lattice[J]. Chinese Physics C, 2011, 35(10): 896-901.  doi: 10.1088/1674-1137/35/10/002 shu
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Received: 2010-12-08
Revised: 2011-01-06
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Scalar meson spectroscopy with a fine lattice

Abstract: With sufficiently light u and d quarks the isovector (a0) and isosinglet (f0) scalar meson propagators are dominated at large distances by two-meson states. In the staggered fermion formulation of lattice QCD, taste-symmetry breaking causes a proliferation of multihadron states that complicates the analysis of these channels. Of special interest is the bubble contribution, which makes a considerable contribution to these channels. Using numerical simulation we have measured the correlators for both a0 and f0 channels in the “Asqtad” improved staggered fermion formulation in a MILC fine (a=0.09 fm) lattice ensemble. We analyze those correlators using rooted staggered chiral perturbation theory (rSχPT) and achieve chiral couplings that are well consistent with previous determinations.

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