Abstract
Vacuum and thermal properties of pseudoscalar and vector charm mesons are analyzed within a self-consistent many-body approach, employing a chiral effective field theory that incorporates heavy-quark spin symmetry. Upon unitarization of the vacuum interaction amplitudes for the scattering of charm mesons off light mesons in a fully coupled-channel basis, new dynamically generated states are searched. The imaginary-time formalism is employed to extend the calculation to finite temperatures up to $T=150$ MeV. Medium-modified spectral shapes of the $D$, $D^*$, $D_s$ and $D_s^*$ mesons are provided. The temperature dependence of the masses and decay widths of the nonstrange $D_0^*$ (2300) and $D_1^*$(2430) mesons, both showing a double-pole structure in the complex-energy plane, is also reported, as well as that of the $D_{s0}^*$(2317) and $D_{s1}^*$(2460) resonances and other states not yet identified experimentally. Being the first calculation incorporating open-charm vector mesons at finite temperature in a self-consistent fashion, it brings up the opportunity to discuss the medium effects on the open charm sector under the perspective of chiral and heavy-quark spin symmetries.
Highlights
The in-medium properties of mesons with charm content have been a matter of high interest over the years
It is based on chiral symmetry as well as heavy-quark spin-flavor symmetry for the charmed mesons
In ðS; IÞ 1⁄4 ð−1; 0Þ sector, we find one virtual state, as the pole lies below the lowest threshold but it appears in the unphysical (−) Riemann sheet (RS)
Summary
The in-medium properties of mesons with charm content have been a matter of high interest over the years (see [1,2,3,4] for reviews). Heavy hadrons come in doublets (if the spin of the light degrees of freedom is not zero), which are degenerated in the infinite quark-mass limit The implementation of this symmetry led to the determination of open-charm-nucleon interactions and open-charm spectral functions in nuclear matter in a consistent and reliable way [12,13,35]. We perform a detailed analysis of the scalar open-charm sector but all strange-isospin channels in the scalar and axial vector open-charm sectors in vacuum and at finite temperature by exploiting the heavyquark spin symmetry To this end, we use a unitarized approach based on a chiral effective field theory that implements heavy-quark spin symmetry at leading order.
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