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arXiv · 1801.01472

Chiral-partner D mesons in a heat bath within QCD sum rules

Thomas Buchheim·Thomas Hilger·Burkhard Kampfer·Stefan Leupold
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Abstract

Utilizing QCD sum rules, we extract the temperature dependences of the spectral properties of the pseudo-scalar and scalar D mesons regarded as chiral partners. Besides the masses also decay constants are analyzed as the D meson yields in heavy-ion collisions may be sensitive to their altered decay properties in an ambient strongly interacting medium. Our findings are ($i$) a decreasing scalar D meson mass for growing temperatures while its pseudo-scalar partner meson seems hardly affected, which is in qualitative agreement with hadronic model calculations; ($ii$) inferring an equally weak temperature dependence of the pseudo-scalar D meson decay properties the decreasing residua and decay constants of the scalar particle point towards partial chiral restoration. As a bonus of our analysis in the pseudo-scalar sector we determine the pseudo-scalar decay constant at vanishing temperature. Due to the connection to particular leptonic branching fractions this decay constant is of great interest allowing for the determination of the off-diagonal CKM matrix element $|V_{cd}|$ at zero temperature.

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Thomas Buchheim, Thomas Hilger, Burkhard Kampfer, Stefan Leupold. 2018-01-04. Chiral-partner D mesons in a heat bath within QCD sum rules. https://doi.org/10.1088/1361-6471%2Faab44e

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