从拉普拉斯求和规则看 NLO 时的轻标量夸克态

Q4 Physics and Astronomy Nuclear and Particle Physics Proceedings Pub Date : 2024-10-18 DOI:10.1016/j.nuclphysbps.2024.10.004

R.M. Albuquerque , S. Narison , D. Rabetiarivony

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引用次数: 0

摘要

我们回顾了我们从（逆）QCD拉普拉斯和规则（LSR）及其在稳定性标准内的比率R，包括直到（估计）O(αs5）的高阶扰动（PT）修正，对轻标量夸克态（q¯q和四夸克态）的研究结果。由于算子乘积展开（OPE）通常在D⩽6-8时收敛，我们评估了PT QCD最低阶（LO）的QCD谱函数，以及高达D=6维的疫苗凝聚体。我们要求最优结果符合约束条件：极点（共振）对光谱积分的贡献要大于QCD连续的贡献，这就排除了QCD连续阈值tc⩽(1∼1.5)GeV2的壳上质量（500-600）MeV左右。表 1 至表 3 汇总了我们对标量介子不同赋值的研究结果。

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Light scalar quarkonia from Laplace sum rule at NLO

We review our results on light scalar quarkonia (

\bar{q} q

and four-quark states) from (inverse) QCD Laplace sum rules (LSR) and their ratios

R

within stability criteria and including higher order perturbative (PT) corrections up to the (estimated)

O (α_{s}^{5})

. As the Operator Product Expansion (OPE) usually converges for

D ⩽ 6 - 8

, we evaluated the QCD spectral functions at Lowest Order (LO) of PT QCD and up to the

D = 6

dimension vaccum condensates. We request that the optimal results obey the constraint: Pole (Resonance) contribution to the spectral integral is larger than the QCD continuum one which excludes an on-shell mass around

(500 - 600) MeV

obtained for values of the QCD continuum threshold

t_{c} ⩽ (1 \sim 1.5) {GeV}^{2}

. Our results for the different assignments of the scalar mesons are compiled in Tables 1 to 3.

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来源期刊

Nuclear and Particle Physics Proceedings Physics and Astronomy-Nuclear and High Energy Physics

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0.40

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期刊介绍： Nuclear and Particle Physics Proceedings is the premier publication outlet for the proceedings of key conferences on nuclear and high-energy physics and related areas. The series covers both large international conferences and topical meetings. The newest discoveries and the latest developments, reported at carefully selected meetings, are published covering experimental as well as theoretical particle physics, nuclear and hadronic physics, cosmology, astrophysics and gravitation, field theory and statistical systems, and physical mathematics.

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