Scalar and vector self-energies of heavy baryons in nuclear medium
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ABSTRACT
The in-medium sum rules are employed to calculate the shifts in the mass and residue as well as the scalar and vector self-energies of the heavy ΛQ,ΣQ and ΞQ baryons, with Q being b or c quark. The maximum shift in mass due to nuclear matter belongs to the Σc baryon and it is found to be ΔmΣc=−936 MeV. In the case of residue, it is obtained that the residue of Σb baryon is maximally affected by the nuclear medium with the shift ΔλΣb=−0.014 GeV3. The scalar and vector self-energies are found to be ΣΛbS=653 MeV, ΣΣbS=−614 MeV, ΣΞbS=−17 MeV, ΣΛcS=272 MeV, ΣΣcS=−936 MeV, ΣΞcS=−5 MeV and ΣΛbν=436±148 MeV, ΣΣbν=382±129 MeV, ΣΞbν=15±5 MeV, ΣΛcν=151±45 MeV, ΣΣcν=486±144 MeV and ΣΞcν=1.391±0.529 MeV. No MeSH data available. |
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Mentions: At the end of this section, we would like to discuss the density dependence of the results. Note that in above analyses we have used the linear density approximation in operators listed in Table 2 and the saturation density to obtain the numerical results. As an example, we plot versus at the average values of auxiliary parameters in Fig. 11. better represents the density-dependence of the OPE for the structure p̸ (see Eq. (18)) normalized by a constant, i.e. (residue in vacuum) as it is proportional to the function not any ratio of two OPE expressions. From this figure we see that the dependence of the quantity on density is roughly linear and it decreases with the increasing density, considerably. |
View Article: PubMed Central - PubMed
The in-medium sum rules are employed to calculate the shifts in the mass and residue as well as the scalar and vector self-energies of the heavy ΛQ,ΣQ and ΞQ baryons, with Q being b or c quark. The maximum shift in mass due to nuclear matter belongs to the Σc baryon and it is found to be ΔmΣc=−936 MeV. In the case of residue, it is obtained that the residue of Σb baryon is maximally affected by the nuclear medium with the shift ΔλΣb=−0.014 GeV3. The scalar and vector self-energies are found to be ΣΛbS=653 MeV, ΣΣbS=−614 MeV, ΣΞbS=−17 MeV, ΣΛcS=272 MeV, ΣΣcS=−936 MeV, ΣΞcS=−5 MeV and ΣΛbν=436±148 MeV, ΣΣbν=382±129 MeV, ΣΞbν=15±5 MeV, ΣΛcν=151±45 MeV, ΣΣcν=486±144 MeV and ΣΞcν=1.391±0.529 MeV.
No MeSH data available.