Open charm and charmonium states in strong magnetic fields
Abstract
The mass modifications of the open charm (DD and D∗D∗) mesons, and their effects on the decay widths D∗→DπD∗→Dπ as well as of the charmonium state, Ψ(3770)Ψ(3770) to open charm mesons (Ψ(3770)→DˉDΨ(3770)→DˉD), are investigated in the presence of strong magnetic fields. These are studied accounting for the mixing of the pseudoscalar (PP) and vector (VV) mesons (D−D∗D−D∗, η′c−Ψ(3770) mixings), with the mixing parameter, gPV of a phenomenological three-point (PVγ) vertex interaction determined from the observed radiative decay width of V→Pγ. For charged D−D∗ mixing, this parameter is dependent on the magnetic field, because of the Landau level contributions to the vacuum masses of these mesons. The masses of the charged D and D∗ mesons modified due to PV mixing, in addition, have contributions from the lowest Landau levels in the presence of a strong magnetic field. The effects of the magnetic field on the decay widths are studied using a field theoretical model of composite hadrons with quark (and antiquark) constituents. The matrix elements for these decays are evaluated using the light quark–antiquark pair creation term of the free Dirac Hamiltonian for the constituent quark field, with explicit constructions for the charmonium state Ψ(3770), the open charm (D, ˉD, D∗) mesons and the pion states in terms of the constituent quark fields. The parameter for the charged D−D∗ mixing is observed to increase appreciably with increase in the magnetic field. This leads to dominant modifications to their masses, and hence the decay widths of charged D∗→Dπ as well as Ψ(3770)→D+D− at large values of the magnetic field. The modifications of the masses and decay widths of the open and hidden charm mesons in the presence of strong magnetic fields should have observable consequences on the production of the open charm (D and D∗) mesons as well as of the charmonium states resulting from noncentral ultra-relativistic heavy ion collision experiments.
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