Energy-Dependent π+ π+ π+ Scattering Amplitude from QCD

被引：37
|
作者：
Hansen, Maxwell T. [1 ,2 ]
Briceno, Raul A. [3 ,4 ]
Edwards, Robert G. [3 ]
Thomas, Christopher E. [5 ]
Wilson, David J. [5 ]
机构：
[1] CERN, Theoret Phys Dept, CH-1211 Geneva 23, Switzerland
[2] Univ Edinburgh, Higgs Ctr Theoret Phys, Sch Phys & Astron, Edinburgh EH9 3FD, Midlothian, Scotland
[3] Thomas Jefferson Natl Accelerator Facil, 12000 Jefferson Ave, Newport News, VA 23606 USA
[4] Old Dominion Univ, Dept Phys, Norfolk, VA 23529 USA
[5] Univ Cambridge, DAMTP, Wilberforce Rd, Cambridge CB3 0WA, England
来源：
PHYSICAL REVIEW LETTERS | 2021年 / 126卷 / 01期
基金：
英国科学技术设施理事会;
关键词：
PHASE-SHIFTS; LATTICE QCD; STATES; MODEL;
D O I：
10.1103/PhysRevLett.126.012001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Focusing on three-pion states with maximal isospin (pi(+) pi(+) pi(+)), we present the first nonperturbative determination of an energy-dependent three-hadron scattering amplitude from first-principles QCD. The calculation combines finite-volume three-hadron energies, extracted using numerical lattice QCD, with a relativistic finite-volume formalism, required to interpret the results. To fully implement the latter, we also solve integral equations that relate an intermediate three-body K matrix to the physical three-hadron scattering amplitude. The resulting amplitude shows rich analytic structure and a complicated dependence on the two-pion invariant masses, represented here via Dalitz-like plots of the scattering rate.
引用
收藏
页数：7
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