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arXiv 1908.11816hep-ph
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大N_c分析对手征Q^3级介子-重子相互作用的限制

Constraints from a large-N_c analysis on meson-baryon interactions at chiral order Q^3

Yonggoo Heo, C. Kobdaj, M. F. M. Lutz

摘要:

本文考虑由上夸克、下夸克和奇夸克的QCD构造的J^P = \frac{1}{2}^+或J^P = \frac{3}{2}^+量子数的重子场的手征拉格朗日量。构造了一类特殊的反项,它们具有手征Q^3级,并在二体水平上对介子-重子相互作用有贡献。我们共找到24个条目。为了给实际应用铺平道路,我们建立了一组22个QCD在大N_c极限下所隐含的低能常数的求和规则。在这样的约束条件下,只剩下2个独立的未知参数,需要通过格点量子色动力学模拟或直接从实验截面测量来确定。在subleading顺序,我们到达5个参数。

英文摘要:

We consider the chiral Lagrangian for baryon fields with J^P =\frac{1}{2}^+ or J^P =\frac{3}{2}^+ quantum numbers as constructed from QCD with up, down and strange quarks. The specific class of counter terms that are of chiral order Q^3 and contribute to meson-baryon interactions at the two-body level is constructed. Altogether we find 24 terms. In order to pave the way for realistic applications we establish a set of 22 sum rules for the low-energy constants as they are implied by QCD in the large-N_c limit. Given such a constraint there remain only 2 independent unknown parameters that need to be determined by either Lattice QCD simulations or directly from experimental cross section measurements. At subleading order we arrive at 5 parameters.

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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