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2006•arXiv (Cornell University)Open access

Scalar Tetraquarks of Light Flavors in the QCD Sum Rule

Hua-Xing Chen, Atsushi Hosaka, Shi-Lin Zhu

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Abstract

We study the low-lying scalar mesons of light u, d, s flavors in the QCD sum rule. Having all possible combinations of tetraquark currents in the local form, QCD sum rule analysis has been carefully performed. We found that using the appropriate tetraquark currents, the masses of sigma, kappa, f_0 and a_0 mesons appear in the region of 0.6 -- 1 GeV with the expected ordering. The results are compared with that of the conventional \\bar{q} q currents, where the masses are significantly larger.

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We study the low-lying scalar mesons of light u, d, s flavors in the QCD sum rule. Having all possible combinations of tetraquark currents in the local form, QCD sum rule analysis has been carefully performed. We found that using the appropriate tetraquark currents, the masses of sigma, kappa, f_0 and a_0 mesons appear in the region of 0.6 -- 1 GeV with the expected ordering. The results are compared with that of the conventional \\bar{q} q currents, where the masses are significantly larger.

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Available abstract

We study the low-lying scalar mesons of light u, d, s flavors in the QCD sum rule. Having all possible combinations of tetraquark currents in the local form, QCD sum rule analysis has been carefully performed. We found that using the appropriate tetraquark currents, the masses of sigma, kappa, f_0 and a_0 mesons appear in the region of 0.6 -- 1 GeV with the expected ordering. The results are compared with that of the conventional \\bar{q} q currents, where the masses are significantly larger.

Key concepts: Tetraquark, Sum rule in quantum mechanics, QCD sum rules, Physics, Particle physics, Meson, Scalar (mathematics), Quantum chromodynamics

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