S- and D-wave phase shifts in isospin-2 ππ scattering from lattice QCD

被引:154
作者
Dudek, Jozef J. [1 ,2 ]
Edwards, Robert G. [1 ]
Thomas, Christopher E. [3 ]
机构
[1] Jefferson Lab, Newport News, VA 23606 USA
[2] Old Dominion Univ, Dept Phys, Norfolk, VA 23529 USA
[3] Trinity Coll Dublin, Sch Math, Dublin 2, Ireland
来源
PHYSICAL REVIEW D | 2012年 / 86卷 / 03期
关键词
SYSTEM;
D O I
10.1103/PhysRevD.86.034031
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The isospin-2 pi pi system provides a useful testing ground for determining elastic hadron scattering parameters from finite-volume spectra obtained using lattice QCD computations. A reliable determination of the excited state spectrum of two pions in a cubic box follows from variational analysis of correlator matrices constructed using a large basis of operators. A general operator construction is presented which respects the symmetries of a multihadron system in flight. This is applied to the case of pi pi and allows for the determination of the scattering phase shifts at a large number of kinematic points, in both S-wave and D-wave, within the elastic region. The technique is demonstrated with a calculation at a pion mass of 396 MeV, where the elastic scattering is found to be well described by a scattering length parametrization.
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页数:31
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