QCD sum rules for magnetically induced mixing between ηc and J/ψ

Area of Science:

• * Nuclear Physics
• * Particle Physics
• * Quantum Chromodynamics

Background:

• * Charmonium states are crucial for understanding quantum chromodynamics (QCD) under extreme conditions.
• * Strong magnetic fields are prevalent in astrophysical phenomena and heavy-ion collisions.
• * The behavior of charmonia in magnetic fields is not fully understood, particularly concerning mixing effects.

Purpose of the Study:

• * To investigate the mass shifts of charmonia in the presence of strong magnetic fields.
• * To analyze the role of mixing effects between the eta-c and J/psi mesons.
• * To apply QCD sum rules for a theoretical exploration of these properties.

Main Methods:

• * Employed QCD sum rules, a non-perturbative method in quantum chromodynamics.
• * Implemented field-theoretical approaches to model mixing effects between eta-c and J/psi.
• * Utilized phenomenologically determined parameters for sum rule saturation.

Main Results:

• * Demonstrated that mixing effects between eta-c and J/psi mesons are significant.
• * Showed that these mixing effects saturate the QCD sum rules.
• * Identified mixing effects as the dominant contribution to mass shifts of static charmonia in strong magnetic fields.

Conclusions:

• * Mixing effects play a critical role in determining charmonia properties under strong magnetic fields.
• * The theoretical framework successfully captures the dominant contributions to charmonia mass shifts.
• * Findings provide insights into the behavior of heavy quarkonium in extreme environments.