# Quark-Antiquark System in Ultra-Intense Magnetic Field

@article{Simonov2012QuarkAntiquarkSI, title={Quark-Antiquark System in Ultra-Intense Magnetic Field}, author={Yu. A. Simonov and Boris Kerbikov and M. A. Andreichikov}, journal={arXiv: High Energy Physics - Phenomenology}, year={2012} }

We study the relativistic quark-antiquark system embedded in magnetic field (MF). The Hamiltonian containing confinement, color Coulomb and spin-spin interaction is derived. We analytically follow the evolution of the lowest neutral meson state as a function of MF strength. Calculating the color Coulomb energy $V_{Coul}$ we have observed the unbounded negative (at least in the limit of large $N_c$) contribution at large MF which makes the mass negative for $eB> eB^{QCD}_{crit}$. We display the…

## Figures from this paper

## 14 Citations

Spin interactions in mesons in strong magnetic field

- Physics
- 2013

Spin interactions in relativistic quark-antiquark system in magnetic field is considered in the framework of the relativistic Hamiltonian, derived from the QCD path integral. The formalism allows to…

Neutron in Strong Magnetic Fields

- Physics
- 2014

Relativistic world-line Hamiltonian for strongly interacting 3q systems in magnetic field is derived from the path integral for the corresponding Green's function. The neutral baryon Hamiltonian in…

Nambu-Goldstone mesons in strong magnetic field

- Physics
- 2013

A bstractWe study the $ q\overline{q} $ structure embedded in chiral mesons in response to external magnetic fields (m.f.), using the chiral Lagrangian with $ q\overline{q} $ degrees of freedom…

Asymptotic freedom in strong magnetic fields.

- Physics, MedicinePhysical review letters
- 2013

The analysis of the one-loop correction below shows a considerable softening of this phenomenon due to qq[over ¯] loop contribution, leading to approximately logarithmic damping of gluon exchange interaction (≈O(1/ln|eB|)) at large magnetic field.

The quark mass gap in a magnetic field

- Physics
- 2013

A magnetic eld and the resulting Landau degeneracy enhance the infrared contributions to the quark mass gap. The gap does not grow arbitrarily, however, for models of asymptotic free interactions.…

Holographic ρ mesons in an external magnetic field

- Physics
- 2013

A bstractWe study the ρ meson in a uniform magnetic field eB using a holographic QCD-model, more specifically a $ \mathrm{D}4/\mathrm{D}8/\overline{\mathrm{D}8} $ brane setup in the confinement phase…

Magnetic moments of mesons

- Physics
- 2013

Magnetic moments of charged and neutral mesons are calculated with the use of the relativistic Hamiltonian derived from the path integral form of the ${q}_{1}{\overline{q}}_{2}$ Green's function. The…

Magnetic moments of negative parity baryons from the effective Hamiltonian approach to QCD

- Physics
- 2014

The magnetic moments of the S11(1535) and S11(1650) baryons are studied in the framework of the relativistic three-quark Hamiltonian derived in the Field Correlation Method. The baryon magnetic…

Nonlinear corrections in basic problems of electro- and magneto-statics in the vacuum

- Physics
- 2013

We point that any theoretically found value for an electromagnetic multipole of a baryon or a meson should be subjected to ``renormalization'' due to nonlinearity of QED. We find third-power…

Relativistic path integral and relativistic Hamiltonians in QCD and QED

- Physics
- 2013

The proper-time 4d path integral is used as a starting point to derive the new explicit parametric form of the quark-antiquark Green's function in gluonic and QED fields, entering as a common Wilson…

## References

SHOWING 1-6 OF 6 REFERENCES

The $\rho$ and $A$ mesons in strong abelian magnetic field in SU(2) lattice gauge theory

- Physics
- 2012

We calculated correlators of vector, axial and pseudoscalar currents in external strong abelian magnetic field according to SU(2) gluodynamics. The masses of neutral $\rho$ and $A$ mesons with…

Critical nucleus charge in a superstrong magnetic field: effect of screening

- Physics
- 2012

A superstrong magnetic field stimulates the spontaneous production of positrons by naked nuclei by diminishing the value of the critical charge ${Z}_{\mathrm{cr}}$. The recently discovered phenomenon…

Asymptotic freedom and IR freezing in QCD: the role of gluon paramagnetism

- Physics
- 2010

Paramagnetism of gluons is shown to play the basic role in establishing main properties of QCD: IR freezing and asymptotic freedom (AF). Starting with Polyakov background field approach the first…

Shevchenko and Yu . A . Simonov

- 1989

Phys

- Rev. 85, 259 (1952); L.P.Gor’kov and I.E. Dzyaloshinskii, Soviet Physics JETP, 26, 449 (1968); J.E.Avron, I.W.Herbst, and B.Simon, Ann.Phys. (NY), 114, 431 (1978); H.Grotsch and R.A.Hegstrom, Phys. Rev. A4, 59
- 1971

) . [ 13 ] W . E . Lamb , Phys . Rev . 85 , 259 ( 1952 ) ; L . P . Gor ’ kov and I . E . Dzyaloshinskii