Abstract
The energies and widths of several D0 meson bound states for different nuclei are obtained using a D-meson selfenergy in the nuclear medium, which is evaluated in a selfconsistent manner using techniques of unitarized coupled-channel theory. The kernel of the meson–baryon interaction is based on a model that treats heavy pseudoscalar and heavy vector mesons on equal footing, as required by heavy quark symmetry. We find D0 bound states in all studied nuclei, from 12C up to 208Pb. The inclusion of vector mesons is the keystone for obtaining an attractive D–nucleus interaction that leads to the existence of D0–nucleus bound states, as compared to previous studies based on SU(4) flavor symmetry. In some cases, the half widths are smaller than the separation of the levels, what makes possible their experimental observation by means of a nuclear reaction. This can be of particular interest for the future P̄ANDA@FAIR physics program. We also find a D+ bound state in 12C, but it is too broad and will have a significant overlap with the energies of the continuum.
Highlights
The D-meson nucleus optical potential has been a subject of intense study over the last years
We have shown that selfconsistency effects and the energy dependence of the optical potential play major roles, and need certainly to be taken into account
The best chances for observation of bound states are in the region of 24Mg, provided an orbital angular momentum separation can be done, where there is only one s− bound state and its half width is about a factor of two smaller than the binding energy
Summary
The D-meson nucleus optical potential has been a subject of intense study over the last years. The. Here we will undertake a similar study for the D0−nucleus bound states using a recently generated D meson selfenergy in the nuclear medium [25]. We will undertake a similar study for the D0−nucleus bound states using a recently generated D meson selfenergy in the nuclear medium [25] This model incorporates heavy-quark symmetry in the charm sector improving in this respect with the recent t-channel vector mesonexchange approaches [11, 18, 19, 20]. The pseudoscalar D meson and the D∗ meson, its vector partner, are treated on equal footing This new scheme generates a broad spectrum of new resonant meson-baryon states in the charm one and strangeness zero [26] and the exotic charm minus one [27] sectors.
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