arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1009.3446hep-phhep-lat
收藏

共振手征理论中的标量和赝标量关联函数

Scalar and pseudoscalar correlators in Resonance Chiral Theory

J. J. Sanz-Cillero

摘要:

利用共振手征理论计算了SU(3)八重态SS-PP相关函数以及单重态和八重态标量关联函数的差。计算一直进行到单循环级别,即,直到1/Nc扩展中的次领先顺序。使用谐振表达式作为长距离和短距离之间的插值器,我们要求关联函数遵循由算子乘积展开规定的高能功率行为,并提取对低能常数的预测。通过在强子作用量中加入越来越复杂的算符,我们的描述得到了逐步改进,在μ =770 MeV时,SS-PP相关器的手征耦合估计为L_8(μ)=(1.0+- 0.4)10^{-3}和C_{38}(μ)=(8+- 5)10^{-6}.给出了S_1S_1-S_8S_8相关器的一些初步结果,如双介子切割谱函数的正性,每个标量形状因子的高能约束和L_6(μ)低能常数的初步表达式。

英文摘要:

The SU(3) octet SS-PP correlator and the difference of the singlet and octet scalar correlators are computed within Resonance Chiral Theory. The calculation is carried on up to the one-loop level, i.e., up to next-to-leading order in the 1/Nc expansion. Using the resonance expressions as interpolators between long and short distances, we demand the correlators to follow the high-energy power behavior prescribed by the operator product expansion and extract predictions for the low-energy constants. By adding more and more complicated operators to the hadronic action, our description is progressively improved, producing for the SS-PP correlator the chiral coupling estimates L_8(mu) = (1.0+- 0.4) 10^{-3} and C_{38}(mu) = (8+- 5) 10^{-6} for mu=770 MeV. Some first results for the S1 S1 - S8 S8 correlator are shown, like, for instance, the positivity of the spectral function for two-meson cuts, the high-energy constraints for each separate scalar form-factor and preliminary expressions for the L_6(mu) low-energy constant.

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。

↑