Dmesons in a magnetic field

Abstract

We investigate the mass spectra of open heavy flavor mesons in an external constant magnetic field within QCD sum rules. Spectral Ansätze on the phenomenological side are proposed in order to properly take into account mixing effects between the pseudoscalar and vector channels, and the Landau levels of charged mesons. The operator product expansion is implemented up to dimension-5 operators. As a result, we find for neutral D mesons a significant positive mass shift that goes beyond simple mixing effects. In contrast, charged D mesons are further subject to Landau level effects, which together with the mixing effects almost completely saturate the mass shifts obtained in our sum rule analysis.

Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions

“…Effects of the magnetic field on the meson spectra were studied also by using QCD sum rule (QCDSR) for open heavy flavor mesons [26,31] and quarkonia [29,30]. While we will here focus on the QCD sum rule for charmonia, extension to bottomonia is straightforward and extension to other systems will be discussed in the last of this section.…”

“…We, however, need to carefully reexamine the Ansatz (46) in the presence of a magnetic field, because effects of a magnetic field should be consistently taken into account on both sides of the dispersion relation (43) [26,[29][30][31]. The effect in the hadronic degrees of freedom is nothing but the mixing effect discussed in the previous sections.…”

Determination of the properties of vector mesons in external magnetic field by quenched SU(3) lattice QCD

“…Then the magnetic field was introduced in two flavor lattice QCD simulation [3] and used as the probe of QCD properties [4]. The energies of hadrons in magnetic fields have been calculated on the lattice [5][6][7][8], in theoretical models [9][10][11][12][13] and in the framework of the QCD sum rules [14,15]. The notion of the hadron polarizability was initially JHEP09(2017)142 discussed in [16,17].…”

Screening masses in strong external magnetic fields

“…[12,13] for recent reviews. As regards the effects more directly related to color interactions, various studies have considered the possible influence of an external magnetic field on the static quark-antiquark potential [14][15][16][17][18][19], which has been clarified by recent lattice results [20,21], and might have consequences relevant to the spectrum of heavy quark bound states [22][23][24][25][26][27][28][29][30][31][32]. At zero temperature, the potential becomes anisotropic and the string tension σ is larger (smaller) in the direction orthogonal (parallel) to the magnetic field B [20,21]; at finite T , in particular in the region right below the pseudocritical temperature T c , the magnetic field induces a general suppression of σ [21], leading to an early onset of deconfinement, in agreement with the observed dependence of T c on B [33][34][35] In this paper we extend the study to the region of temperatures above T c , in order to investigate the effects of a magnetic background on the interactions between heavy quarks in the Quark-Gluon Plasma.…”