What question did this study set out to answer?

This research aims to explore the bound states and mass spectrum of heavy tetraquarks using the variational approach.

April 3, 2026Physics of Atomic Nuclei0 citations

Mass Spectrum of Heavy Tetraquarks in Variational Approach

AEA. V. Eskin AMA. P. Martynenko FMF. A. Martynenko

Key Points

This research aims to explore the bound states and mass spectrum of heavy tetraquarks using the variational approach.
Investigated bound states of four heavy quarks via the quark model.
Utilized Gaussian forms for basis variational wave functions.
Calculated Hamiltonian matrix elements analytically.
Performed numerical calculations of energy levels in Matlab.
Included relativistic corrections to enhance calculation accuracy.
Obtained numerical energy levels for various tetraquark configurations.
Calculated hyperfine structure within the spectrum for heavier quarks.
Results indicate significant effects of relativistic corrections on energy levels.

Abstract

Within the framework of the quark model and variational method the bound states of four heavy quarks (tetraquarks) are investigated. The basis variational wave functions are chosen in the Gaussian form. Matrix elements of the Hamiltonian are calculated analytically. Numerical calculation of the energy levels of tetraquarks is performed using a program in the Matlab system. Hyperfine structure of the spectrum is calculated. To increase the accuracy of the calculation, relativistic corrections are taken into account.

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