Finite volume effects in pion-kaon scattering and reconstruction of the κ(800) resonance

被引：57

作者：

Doering, M. ^{[1
,2
]}

Meissner, U. -G. ^{[1
,2
,3
,4
]}

机构：

[1] Univ Bonn, Helmholtz Inst Strahlen & Kernphys Theorie, D-53115 Bonn, Germany

[2] Univ Bonn, Bethe Ctr Theoret Phys, D-53115 Bonn, Germany

[3] Forschungszentrum Julich, Inst Kernphys, Inst Adv Simulat, D-52425 Julich, Germany

[4] Julich Ctr Hadron Phys, D-52425 Julich, Germany

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2012年 / 01期

关键词：

Lattice QCD; NLO Computations; Chiral Lagrangians; CHIRAL PERTURBATION-THEORY; MESON-MESON SCATTERING; PHASE-SHIFT ANALYSIS; K SCATTERING; ELASTIC-SCATTERING; AMPLITUDE ANALYSIS; ROY; PARAMETERS; DISPERSION; F(0)(980);

D O I：

10.1007/JHEP01(2012)009

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：

Simulating the kappa(800) on the lattice is a challenging task that starts to become feasible due to the rapid progress in recent-years lattice QC]) calculations. As the resonance is broad, special attention to finite-volume effects has to be paid, because no sharp resonance signal as from avoided level crossing can be expected. In the present article, we investigate the finite volume effects in the framework of unitarized chiral perturbation theory using next-to-leading order terms. After a fit to meson-meson partial wave data, lattice levels for pi K scattering are predicted. In addition, levels are shown for the quantum numbers in which the sigma(600), f(0)(980), a(0)(980), phi(1020), K*(892), and rho(770) appear, as well as the repulsive channels. Methods to extract the a kappa(800) signal from the lattice spectrum are presented. Using pseudo-data, we estimate the precision that lattice data should have to allow for a clear-cut extraction of this resonance. To put the results into context, in)articular the required high precision on the lattice data, the sigma(600), the P-wave resonances K*(892) and rho(770), and the repulsive pi K, pi pi phases are analyzed as well.

引用

页数：31

共 86 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] Dalitz plot analysis of the decay D+ → K- π+ π+ and indication of a low-mass scalar Kπ resonance -: art. no. 121801 [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, GF ;

Gagnon, P ;

Göbel, 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, 2002, 89 (12) :121801-121801

[3] Identification of a Scalar Glueball [J].

Albaladejo, M. ;

Oller, J. A. .

PHYSICAL REVIEW LETTERS, 2008, 101 (25)

[4] Roy equation analysis of ππ scattering [J].

Ananthanarayan, B ;

Colangelo, G ;

Gasser, J ;

Leutwyler, H .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2001, 353 (04) :207-279

[5] OBSERVATION OF MESON CENTRAL PRODUCTION IN BARYON EXCHANGE PROCESSES [J].

PEREPELITSA, VF ;

FERRER, A ;

GRIGORYAN, AA ;

SONDEREGGER, P ;

NIKITIN, SY .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1991, 52 (03) :407-414

[6] A STUDY OF K-PI+ SCATTERING IN THE REACTION K-P-]K-PI+N AT 11 GEV/C [J].

ASTON, D ;

AWAJI, N ;

BIENZ, T ;

BIRD, F ;

DAMORE, J ;

DUNWOODIE, W ;

ENDORF, R ;

FUJII, K ;

HAYASHII, H ;

IWATA, S ;

JOHNSON, WB ;

KAJIKAWA, R ;

KUNZ, P ;

LEITH, DWGS ;

LEVINSON, L ;

MATSUI, T ;

MEADOWS, BT ;

MIYAMOTO, A ;

NUSSBAUM, M ;

OZAKI, H ;

PAK, CO ;

RATCLIFF, BN ;

SCHULTZ, D ;

SHAPIRO, S ;

SHIMOMURA, T ;

SINERVO, PK ;

SUGIYAMA, A ;

SUZUKI, S ;

TARNOPOLSKY, G ;

TAUCHI, T ;

TOGE, N ;

UKAI, K ;

WAITE, A ;

WILLIAMS, S .

NUCLEAR PHYSICS B, 1988, 296 (03) :493-526

[7] Light hadrons from lattice QCD with light (u, d), strange and charm dynamical quarks [J].

Baron, R. ;

Boucaud, Ph ;

Carbonell, J. ;

Deuzeman, A. ;

Drach, V. ;

Farchioni, F. ;

Gimenez, V. ;

Herdoiza, G. ;

Jansen, K. ;

McNeile, C. ;

Michael, C. ;

Montvay, I. ;

Palao, D. ;

Pallante, E. ;

Pene, O. ;

Urbach, C. ;

Wagner, M. ;

Wenger, U. .

JOURNAL OF HIGH ENERGY PHYSICS, 2010, (06)

[8] New high statistics measurement of Ke4 decay form factors and ππ scattering phase shifts [J].

Batley, J. R. ;

Culling, A. J. ;

Kalmus, G. ;

Lazzeroni, C. ;

Munday, D. J. ;

Slater, M. W. ;

Wotton, S. A. ;

Arcidiacono, R. ;

Bocquet, G. ;

Cabibbo, N. ;

Ceccucci, A. ;

Cundy, D. ;

Falaleev, V. ;

Fidecaro, M. ;

Gatignon, L. ;

Gonidec, A. ;

Kubischta, W. ;

Norton, A. ;

Maier, A. ;

Patel, M. ;

Peters, A. ;

Balev, S. ;

Frabetti, P. L. ;

Goudzovski, E. ;

Hristov, P. ;

Kekelidze, V. ;

Kozhuharov, V. ;

Litov, L. ;

Madigozhin, D. ;

Marinova, E. ;

Molokanova, N. ;

Polenkevich, I. ;

Potrebenikov, Y. ;

Stoynev, S. ;

Zinchenko, A. ;

Monnier, E. ;

Swallow, E. ;

Winston, R. ;

Rubin, P. ;

Walker, A. ;

Baldini, W. ;

Rarnusino, A. Cotta ;

Dalpiaz, P. ;

Damiani, C. ;

Fiorini, M. ;

Gianoli, A. ;

Martini, M. ;

Petrucci, F. ;

Savrie, M. ;

Scarpa, M. .

EUROPEAN PHYSICAL JOURNAL C, 2008, 54 (03) :411-423

[9]

Beane S., ARXIV11075023 NPLQCD

[10] Two nucleons on a lattice [J].

Beane, SR ;

Bedaque, PF ;

Parreño, A ;

Savage, MJ .

PHYSICS LETTERS B, 2004, 585 (1-2) :106-114

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