Masses and decay widths of scalar $D_0$ and $D_{s0}$ mesons in a strange hadronic medium

Masses and decay constants of scalar $D_0$ and $D_{s0}$ mesons in isospin asymmetric strange hadronic matter at finite temperature are evaluated using QCD sum rules and a chiral SU(3) model. In-medium light quark condensates, ${〈\overline{u}u〉}_{{\rho }_B}$ and ${〈\overline{d}d〉}_{{\rho }_B}$; strange quark condensates, ${〈\overline{s}s〉}_{{\rho }_B}$; and gluon condensates, ${〈\frac{{\alpha }_s}{\pi }{G^a}_{\mu \nu }{G^a}^{\mu \nu }〉}_{{\rho }_B}$, needed in QCD sum rule calculations are evaluated using a chiral SU(3) model. As an application, we calculate the in-medium partial decay width of scalar $D_0$ ($D_{s0}$) mesons decaying to $D+\pi$ ($D_s+\pi$) pseudoscalar mesons using a ${}^{3}P_0$ model. The medium effects in their decay widths are assimilated through the modification in the masses of these mesons. These results may be helpful to understand the possible outcomes of future experiments like the Compressed Baryonic Matter and anti-Proton Annihilation at Darmstadt experiments at the GSI Facility for Antiproton and Ion Research where the study of charmed hadrons is a major goal.

Figure 1

Variation of shifts in masses of scalar $D_0^0$ and $D_0^{+}$ mesons as a function of the squared Borel mass parameter $M^2$ for isospin asymmetric parameters $I=0$ and 0.5, temperatures $T=0$ and 100 MeV, and strangeness fractions $f_s=0$, 0.3, and 0.5. The results are given at baryonic densities ${\rho }_0$ and $4{\rho }_0$.

Figure 2

Variation of shifts in decay constants of scalar $D_0^0$ and $D_0^{+}$ mesons as a function of the squared Borel mass parameter $M^2$ for isospin asymmetric parameters $I=0$ and 0.5, temperatures $T=0$ and 100 MeV, and strangeness fractions $f_s=0$, 0.3, and 0.5. The results are given at baryonic densities ${\rho }_0$ and $4{\rho }_0$.

Figure 3

Variation of shifts in masses and decay constants of scalar $D_{s0}$ mesons as a function of the squared Borel mass parameter $M^2$ for isospin asymmetric parameters $I=0$ and 0.5, temperatures $T=0$ and 100 MeV, and strangeness fractions $f_s=0$, 0.3, and 0.5. The results are given at baryonic densities ${\rho }_0$ and $4{\rho }_0$.

Figure 4

Variation of the scattering length (in fm) of scalar and pseudoscalar $D$ mesons with nucleons in nuclear medium.

Figure 5

Variation of ratio of in-medium decay constants $\frac{f_{D_0^0}^{*}}{f_{D_0^{+}}^{*}}$, $\frac{f_{D_{s0}}^{*}}{f_{D^{+}}^{*}}$, and $\frac{f_{D_{s0}}^{*}}{f_{D^0}^{*}}$ as a function of the baryonic density of the medium.

Figure 6

Variation of in-medium mass of scalar $D_0$ and $D_{s0}$ mesons and corresponding light quark and strange quark condensates [calculated using the linear-density approximation and the chiral SU(3) model] as a function of the baryonic density of the medium.

Figure 7

Variation of the partial decay widths of the particular decays $D_0^{+}\to D^{+}+\pi$ and $D_0^0\to D^0+\pi$ as a function of the $R_A$ value (in ${\mathrm{GeV}}^{-1}$).

Figure 8

Variation of the partial decay widths of a particular decay $D_{s0}\to D_s+\pi$ as a function of the respective $R_A$ value (in ${\mathrm{GeV}}^{-1}$).