Abstract
The magnetic dipole polarizabilities and hyperpolarizabilities of the vector $${{\rho }^{0}}$$ and $${{\rho }^{ \pm }}$$ mesons have been calculated. The new characteristic of NPQCD in the strong magnetic field called tensor polarizability has been introduced, which is related to the tensor polarization of vector mesons. The contribution of the dipole magnetic polarizabilities to the tensor polarization of the vector mesons in the external abelian magnetic field has been explored.
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