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arXiv 1004.5455hep-lat
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猝灭格点量子色动力学中核子的正宇称激发态

Positive-parity Excited-states of the Nucleon in Quenched Lattice QCD

M. S. Mahbub, Alan Ó Cais, Waseem Kamleh, Derek B. Leinweber, Anthony G. Williams

摘要:

在格点量子色动力学中研究了核子的正宇称自旋1/2激发。在这项研究中使用的变分方法和几个相关矩阵。由于我们的重点是效用和方法的变分方法,我们的工作在淬火近似QCD。高斯费米子场拖尾的各种扫描被施加在源和接收器处的$χ_{1}\barχ_{1}$和$χ_{1}χ_{2}$关联函数,以获得大的基础运营商。使用几种不同的方法来构建基础插值,我们演示了如何提高基础可以分裂,否则可能被解释为一个单一的状态到多个本征态。的一致性提取的激发能态的相关矩阵的各个维度上探索。为了可靠地提取QCD的激发本征态,强调了大关联矩阵的使用。

英文摘要:

Positive-parity spin-1/2 excitations of the nucleon are explored in lattice QCD. The variational method is used in this investigation and several correlation matrices are employed. As our focus is on the utility and methodology of the variational approach, we work in the quenched approximation to QCD. Various sweeps of Gaussian fermion-field smearing is applied at the source and at the sink of $χ_{1}\barχ_{1}$ and $χ_{1}χ_{2}$ correlation functions to obtain a large basis of operators. Using several different approaches for constructing basis interpolators, we demonstrate how improving the basis can split what otherwise might be interpreted as a single state into multiple eigenstates. Consistency of the extracted excited energy states are explored over various dimensions of the correlation matrices. The use of large correlation matrices is emphasized for the reliable extraction of the excited eigenstates of QCD.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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