Lattice QCD and Three-Particle Decays of Resonances

被引：109

作者：

Hansen, Maxwell T. ^{[1
]}

Sharpe, Stephen R. ^{[2
]}

机构：

[1] CERN, Theoret Phys Dept, CH-1211 Geneva 23, Switzerland

[2] Univ Washington, Dept Phys, Seattle, WA 98195 USA

来源：

ANNUAL REVIEW OF NUCLEAR AND PARTICLE SCIENCE, VOL 69 | 2019年 / 69卷

关键词：

finite-volume quantum field theory; lattice QCD; three-particle quantization condition; resonances; QUANTUM-FIELD THEORIES; VOLUME DEPENDENCE; ENERGY-SPECTRUM; FORCES; STATES;

D O I：

10.1146/annurev-nucl-101918-023723

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

Most strong-interaction resonances have decay channels involving three or more particles, including many of the recently discovered X, Y, and Z resonances. In order to study such resonances from first principles using lattice QCD, one must understand finite-volume effects for three particles in the cubic box used in calculations. We review efforts to develop a three-particle quantization condition that relates finite-volume energies to infinite-volume scattering amplitudes. We describe in detail the three approaches that have been followed, and present new results on the relationship between the corresponding results. We show examples of the numerical implementation of all three approaches and point out the important issues that remain to be resolved.

引用

页码：65 / 107

页数：43

共 58 条

[1] Observation of the Ξ-b →J/ψΛK- decay [J].

Aaij, R. ;

Adeva, B. ;

Adinolfi, M. ;

Ajaltouni, Z. ;

Akar, S. ;

Albrecht, J. ;

Alessio, F. ;

Alexander, M. ;

Ali, S. ;

Alkhazov, G. ;

Cartelle, R. Alvarez ;

Alves, A. A., Jr. ;

Amato, S. ;

Amerio, S. ;

Amhis, Y. ;

An, L. ;

Anderlini, L. ;

Andreassi, G. ;

Andreotti, M. ;

Andrews, J. E. ;

Appleby, R. B. ;

Archilli, F. ;

d'Argent, R. ;

Romeu, J. Arnau ;

Artamonov, A. ;

Artuso, M. ;

Aslanides, E. ;

Auriemma, G. ;

Baalouch, M. ;

Babuschkin, I. ;

Bachmann, S. ;

Back, J. J. ;

Badalov, A. ;

Baesso, C. ;

Baker, S. ;

Balagura, V. ;

Baldini, W. ;

Barlow, R. J. ;

Barschel, C. ;

Barsuk, S. ;

Barter, W. ;

Baryshnikov, F. ;

Baszczyk, M. ;

Batozskaya, V. ;

Batsukh, B. ;

Battista, V. ;

Bay, A. ;

Beaucourt, L. ;

Beddow, J. ;

Bedeschi, F. .

PHYSICS LETTERS B, 2017, 772 :265-273

[2] Review of lattice results concerning low-energy particle physics [J].

Aoki, S. ;

Aoki, Y. ;

Becirevic, D. ;

Bernard, C. ;

Blum, T. ;

Colangelo, G. ;

Della Morte, M. ;

Dimopoulos, P. ;

Duerr, S. ;

Fukaya, H. ;

Golterman, M. ;

Gottlieb, Steven ;

Hashimoto, S. ;

Heller, U. M. ;

Horsley, R. ;

Juttner, A. ;

Kaneko, T. ;

Lellouch, L. ;

Leutwyler, H. ;

Lin, C. -J. D. ;

Lubicz, V. ;

Lunghi, E. ;

Mawhinney, R. ;

Onogi, T. ;

Pena, C. ;

Sachrajda, C. T. ;

Sharpe, S. R. ;

Simula, S. ;

Sommer, R. ;

Vladikas, A. ;

Wenger, U. ;

Wittig, H. .

EUROPEAN PHYSICAL JOURNAL C, 2017, 77 (02)

[3]

Aoki S., 2011, NUCL PHYS, V66, P687

[4] Multipion systems in lattice QCD and the three-pion interaction [J].

Beane, Silas R. ;

Detmold, William ;

Luu, Thomas C. ;

Orginos, Kostas ;

Savage, Martin J. ;

Torok, Aaron .

PHYSICAL REVIEW LETTERS, 2008, 100 (08)

[5] n-boson energies at finite volume and three-boson interactions [J].

Beane, Silas R. ;

Detmold, William ;

Savage, Martin J. .

PHYSICAL REVIEW D, 2007, 76 (07)

[6] Effective field theory for few-nucleon systems [J].

Bedaque, PF ;

van Kolck, U .

ANNUAL REVIEW OF NUCLEAR AND PARTICLE SCIENCE, 2002, 52 :339-396

[7]

Blanton TD, 2018, ARXIV181006634HEPLAT

[8] Implementing the three-particle quantization condition including higher partial waves [J].

Blanton, Tyler D. ;

Romero-Lopez, Fernando ;

Sharpe, Stephen R. .

JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (03)

[9] Relating the finite-volume spectrum and the two-and-three-particle S matrix for relativistic systems of identical scalar particles [J].

Briceno, Ral A. ;

Hansen, Maxwell T. ;

Sharpe, Stephen R. .

PHYSICAL REVIEW D, 2017, 95 (07)

[10] Three-particle systems with resonant subprocesses in a finite volume [J].

Briceno, Raul A. ;

Hansen, Maxwell T. ;

Sharpe, Stephen R. .

PHYSICAL REVIEW D, 2019, 99 (01)

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