用非对称盒子研究强子散射
Study of Hadron Scattering Using an Asymmetric Box
摘要：
我们提出在一个非对称的盒子中用格点量子色动力学研究强子-强子散射，这个盒子允许在给定体积下获得更多的非简并低动量模。对适用于对称箱的传统Lüscher公式作了相应的修正。为了说明这种方法的可行性，在淬火近似下，使用改进的规范和威尔逊费米子作用在各向异性晶格上的非对称盒中，计算了I=2，J=0通道中的π-π弹性散射相移。经过手征和连续谱外推后，我们发现当π介子的三动量小于300 MeV时，在这个通道中散射相移的猝灭结果与实验结果是一致的。协议也发现与以前的理论结果相比，从晶格和其他手段。此外，利用非对称体积，我们可以计算出小动量范围内（在质心坐标系下，π介子三动量小于350 MeV）的散射相，计算量超过了π介子三动量的12个值，比传统的对称盒的计算量大得多。
英文摘要：
We propose to study hadron-hadron scattering using lattice QCD in an asymmetric box which allows one to access more non-degenerate low-momentum modes for a given volume. The conventional Lüscher's formula applicable in a symmetric box is modified accordingly. To illustrate the feasibility of this approach, pion-pion elastic scattering phase shifts in the I=2, J=0 channel are calculated within quenched approximation using improved gauge and Wilson fermion actions on anisotropic lattices in an asymmetric box. After the chiral and continuum extrapolation, we find that our quenched results for the scattering phase shifts in this channel are consistent with the experimental data when the three-momentum of the pion is below 300MeV. Agreement is also found when compared with previous theoretical results from lattice and other means. Moreover, with the usage of asymmetric volume, we are able to compute the scattering phases in the low-momentum range (pion three momentum less than about 350MeV in the center of mass frame) for over a dozen values of the pion three-momenta, much more than using the conventional symmetric box with comparable volume.
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