Preliminary lattice QCD calculation of the σ meson decay width

被引：14

作者：

Fu, Ziwen ^{[1
,2
]}

机构：

[1] Sichuan Univ, Minist Educ, Key Lab Radiat Phys & Technol, Chengdu 610064, Peoples R China

[2] Sichuan Univ, Inst Nucl Sci & Technol, Coll Nucl Sci & Engn, Coll Phys Sci & Technol, Chengdu 610064, Peoples R China

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2012年 / 07期

关键词：

Lattice QCD; Lattice Gauge Field Theories; SCATTERING; RESONANCE; LIGHT; MASS; F(0)(980); FLAVORS; STATES;

D O I：

10.1007/JHEP07(2012)142

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We report an exploratory lattice QCD investigation of the sigma meson decay width though the s-wave scattering phase shift for isospin I = 0 pion-pion (pi pi) system. Rummukainen-Gottlieb formula is used to estimate the scattering phase for the two-pion system in the moving frame, which demonstrate the presence of a resonance around sigma meson. Using the effective range formula we extract the effective sigma -> pi pi coupling constant as g(sigma pi pi) = 2.69(44) GeV, which is consistent with the theoretical predictions. The estimated decay width is about 236 +/- 49 MeV. These simulations are carried out on a 16(3) x 48 MILC gauge configuration with the N-f = 2 + 1 flavor of the "Asqtad" improved staggered dynamical sea quarks at m(pi)/m(sigma) approximate to 0.414 and the lattice spacing a approximate to 0.15 fm.

引用

页数：21

共 49 条

[1] The σ pole in J/ψ→ωπ+π- [J].

Ablikim, M ;

Bai, JZ ;

Ban, Y ;

Bian, JG ;

Bugg, D ;

Cai, X ;

Chang, JF ;

Chen, HF ;

Chen, HS ;

Chen, HX ;

Chen, JC ;

Chen, J ;

Chen, ML ;

Chen, YB ;

Chi, SP ;

Chu, YP ;

Cui, XZ ;

Dai, HL ;

Dai, YS ;

Deng, ZY ;

Dong, LY ;

Du, SX ;

Du, ZZ ;

Fang, J ;

Fang, SS ;

Fu, CD ;

Fu, HY ;

Gao, CS ;

Gao, YN ;

Gong, MY ;

Gong, WX ;

Gu, SD ;

Guo, YN ;

Guo, YQ ;

Guo, ZJ ;

Harris, FA ;

He, KL ;

He, M ;

He, X ;

Heng, YK ;

Hu, HM ;

Hu, T ;

Huang, GS ;

Huang, L ;

Huang, XP ;

Ji, XB ;

Jia, QY ;

Jiang, CH ;

Jiang, XS .

PHYSICS LETTERS B, 2004, 598 (3-4) :149-158

[2] Production of σ in ψ (2S) → π+π- J/ψ [J].

Ablikirn, M. ;

Bai, J. Z. ;

Ban, Y. ;

Cai, X. ;

Chen, H. F. ;

Chen, H. S. ;

Chen, H. X. ;

Chen, J. C. ;

Chen, Jin ;

Chen, Y. B. ;

Chi, S. P. ;

Chu, Y. P. ;

Cui, X. Z. ;

Dai, Y. S. ;

Diao, L. Y. ;

Deng, Z. Y. ;

Dong, Q. F. ;

Du, S. X. ;

Fang, J. ;

Fang, S. S. ;

Fu, C. D. ;

Gao, C. S. ;

Gao, Y. N. ;

Gu, S. D. ;

Gu, Y. T. ;

Guo, Y. N. ;

Guo, Y. Q. ;

Guo, Z. J. ;

Harris, F. A. ;

He, K. L. ;

He, M. ;

Heng, Y. K. ;

Hu, H. M. ;

Hu, T. ;

Huang, G. S. ;

Huang, X. T. ;

Ji, X. B. ;

Jiang, X. S. ;

Jiang, X. Y. ;

Jiao, J. B. ;

Jin, D. P. ;

Jin, S. ;

Jin, Yi ;

Lai, Y. F. ;

Li, G. ;

Li, H. B. ;

Li, H. H. ;

Li, J. ;

Li, R. Y. ;

Li, S. M. .

PHYSICS LETTERS B, 2007, 645 (01) :19-25

[3] Experimental evidence for a light and broad scalar resonance in D+ → π-π+π+ decay [J].

Aitala, EM ;

Amato, S ;

Anjos, JC ;

Appel, JA ;

Ashery, D ;

Banerjee, S ;

Bediaga, I ;

Blaylock, G ;

Bracker, SB ;

Burchat, PR ;

Burnstein, RA ;

Carter, T ;

Carvalho, HS ;

Copty, NK ;

Cremaldi, LM ;

Darling, C ;

Denisenko, K ;

Devmal, S ;

Fernandez, A ;

Fox, GE ;

Gagnon, P ;

Gobel, C ;

Gounder, K ;

Halling, AM ;

Herrera, G ;

Hurvits, G ;

James, C ;

Kasper, PA ;

Kwan, S ;

Langs, DC ;

Leslie, J ;

Lundberg, B ;

Magnin, J ;

Massafferri, A ;

MayTal-Beck, S ;

Meadows, B ;

Neto, JRTD ;

Mihalcea, D ;

Milburn, RH ;

de Miranda, JM ;

Napier, A ;

Nguyen, A ;

d'Oliveira, AB ;

O'Shaughnessy, K ;

Peng, KC ;

Perera, LP ;

Purohit, MV ;

Quinn, B ;

Radeztsky, S ;

Rafatian, A .

PHYSICAL REVIEW LETTERS, 2001, 86 (05) :770-774

[4]

Ambrosino F, 2007, EUR PHYS J C, V49, P473, DOI 10.1140/epjc/s10052-006-0157-7

[5] Lattice QCD calculation of the ρ meson decay width [J].

Aoki, S. ;

Fukugita, M. ;

Ishikawa, K-I. ;

Ishizuka, N. ;

Kanaya, K. ;

Kuramashi, Y. ;

Namekawa, Y. ;

Okawa, M. ;

Sasaki, K. ;

Ukawa, A. ;

Yoshie, T. .

PHYSICAL REVIEW D, 2007, 76 (09)

[6] Hadronic structure in the decay τ- → ντπ- π0 π0 and the sign of the tau neutrino helicity -: art. no. 012002 [J].

Asner, DM ;

Eppich, A ;

Gronberg, J ;

Hill, TS ;

Lange, DJ ;

Morrison, RJ ;

Nelson, HN ;

Nelson, TK ;

Roberts, D ;

Behrens, BH ;

Ford, WT ;

Gritsan, A ;

Krieg, H ;

Roy, J ;

Smith, JG ;

Alexander, JP ;

Baker, R ;

Bebek, C ;

Berger, BE ;

Berkelman, K ;

Boisvert, V ;

Cassel, DG ;

Crowcroft, DS ;

Dickson, M ;

von Dombrowski, S ;

Drell, PS ;

Ecklund, KM ;

Ehrlich, R ;

Foland, AD ;

Gaidarev, P ;

Galik, RS ;

Gibbons, L ;

Gittelman, B ;

Gray, SW ;

Hartill, DL ;

Heltsley, BK ;

Hopman, PI ;

Kreinick, DL ;

Lee, T ;

Liu, Y ;

Meyer, TO ;

Mistry, NB ;

Ng, CR ;

Nordberg, E ;

Ogg, M ;

Patterson, JR ;

Peterson, D ;

Riley, D ;

Soffer, A ;

Thayer, JG .

PHYSICAL REVIEW D, 2000, 61 (01) :1-22

[7] Nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks [J].

Bazavov, A. ;

Toussaint, D. ;

Bernard, C. ;

Laiho, J. ;

DeTar, C. ;

Levkova, L. ;

Oktay, M. B. ;

Gottlieb, Steven ;

Heller, U. M. ;

Hetrick, J. E. ;

Mackenzie, P. B. ;

Sugar, R. ;

Van de Water, R. S. .

REVIEWS OF MODERN PHYSICS, 2010, 82 (02) :1349-1417

[8] Tuning Fermilab heavy quarks in 2+1 flavor lattice QCD with application to hyperfine splittings [J].

Bernard, C. ;

DeTar, C. ;

Di Pierro, M. ;

El-Khadra, A. X. ;

Evans, R. T. ;

Freeland, E. D. ;

Gamiz, E. ;

Gottlieb, Steven ;

Heller, U. M. ;

Hetrick, J. E. ;

Kronfeld, A. S. ;

Laiho, J. ;

Levkova, L. ;

Mackenzie, P. B. ;

Simone, J. N. ;

Sugar, R. ;

Toussaint, D. ;

Van de Water, R. S. .

PHYSICAL REVIEW D, 2011, 83 (03)

[9] Scalar meson spectroscopy with lattice staggered fermions [J].

Bernard, Claude ;

DeTar, Carleton ;

Fu, Ziwen ;

Prelovsek, Sasa .

PHYSICAL REVIEW D, 2007, 76 (09)

[10] Mass and width of the lowest resonance in QCD [J].

Caprini, I ;

Colangelo, G ;

Leutwyler, H .

PHYSICAL REVIEW LETTERS, 2006, 96 (13)

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