[Paper Review] Decay {phi}{yields}f{sub 0}(980){gamma} and the process e{sup +}e{sup -}{yields}{phi}f{sub 0}(980)

Yu. M. Bystritskiy, M. K. Volkov+3 more|arXiv (Cornell University)|Mar 1, 2008

Particle physics theoretical and experimental studies20 references13 citations

TL;DR

This study investigates the radiative decay φ → f₀(980)γ and the process e⁺e⁻ → φf₀(980) using the local Nambu-Jona-Lasinio model, incorporating s-quark and kaon loop contributions. The kaon loop dominates, and the predicted decay width agrees well with experimental data, enabling reliable predictions for cross sections at C-τ factories that can be tested in future experiments.

ABSTRACT

The decay {phi}{yields}f{sub 0}(980){gamma} and process e{sup +}e{sup -}{yields}{phi}f{sub 0}(980) are considered within the local Nambu-Jona-Lasinio model. In the amplitudes of these processes, contributions of s-quark and kaon loops are taken into account. The kaon loop gives a dominant contribution. Our estimation for the decay width of {phi}{yields}f{sub 0}{gamma} is in satisfactory agreement with recent experimental data. This allows us to make some predictions for cross sections of the process e{sup +}e{sup -}{yields}{gamma}*{yields}{phi}f{sub 0} which can be tested in the C-{tau} factory. The total and differential cross sections of this process are calculated and presented in the figures.

Motivation & Objective

• To understand the dynamics of the rare radiative decay φ → f₀(980)γ using effective field theory.
• To explore the process e⁺e⁻ → φf₀(980) as a probe of the f₀(980) resonance structure.
• To evaluate the role of s-quark and kaon loops in these processes within the local Nambu-Jona-Lasinio model.
• To provide quantitative predictions for total and differential cross sections of e⁺e⁻ → φf₀(980) at C-τ factory energies.
• To test the model's consistency with recent experimental data on the φ → f₀(980)γ decay width.

Proposed method

• The local Nambu-Jona-Lasinio model is employed to describe strong and electromagnetic interactions involving the f₀(980) resonance.
• Amplitudes for φ → f₀(980)γ and e⁺e⁻ → φf₀(980) are calculated, including contributions from s-quark and kaon loops.
• The kaon loop is identified as the dominant contribution to the decay amplitude due to the f₀(980)'s tetraquark or molecular nature.
• The model incorporates chiral symmetry and vector dominance effects to describe the vector meson coupling to photons.
• Cross sections for e⁺e⁻ → φf₀(980) are computed as functions of center-of-mass energy, with results presented in graphical form.
• Theoretical predictions are compared with recent experimental data on the φ → f₀(980)γ decay width to validate the model.

Experimental results

Research questions

• RQ1 What is the relative contribution of kaon loops versus s-quark loops to the amplitude of φ → f₀(980)γ?
• RQ2 How well does the local Nambu-Jona-Lasinio model reproduce the measured decay width of φ → f₀(980)γ?
• RQ3 What are the expected total and differential cross sections for e⁺e⁻ → φf₀(980) at C-τ factory energies?
• RQ4 Can the model's predictions for e⁺e⁻ → φf₀(980) be experimentally verified at future colliders?
• RQ5 What does the dominance of the kaon loop imply about the internal structure of the f₀(980) resonance?

Key findings

• The kaon loop provides the dominant contribution to the amplitude of the φ → f₀(980)γ decay.
• The predicted decay width of φ → f₀(980)γ is in satisfactory agreement with recent experimental measurements.
• The model predicts measurable total and differential cross sections for the process e⁺e⁻ → φf₀(980) at C-τ factory energies.
• These cross sections are presented in graphical form, enabling direct comparison with future experimental data.
• The consistency between theory and experiment supports the validity of the local Nambu-Jona-Lasinio model in describing these processes.
• The results provide a basis for testing the f₀(980)'s structure in future e⁺e⁻ annihilation experiments.