Dense baryonic matter in the hidden local symmetry approach

The dense baryonic matter and hadron properties in medium were simulated by using a Skyrme model including the ground state vector mesons introduced from the hidden local symmetry approach up to the next to leading order. We found that both the $\rho$ and $\omega$ mesons affect the baryonic matter and medium modified hadron properties dramatically. The most remarkable observation is that, the pion decay constant and the nucleon mass have the similar density dependence which agrees with the large $N_c$ argument. Explicitly, they drop with increasing density in the Skyrmion phase and stop decreasing at $n_{1/2}^{}$ at which the skyrmions in medium fractionize into half-skyrmions and remains nearly constants in the half-skyrmion phase. This density dependence in the half-skyrmion phase indicates that, although $\langle \bar{q}q\rangle \neq 0$ on average in this phase, chiral symmetry is not restored since hadrons are still massive and there exist pions. In addition, the nearly constant nucleon mass means that it could has a non-vanishing component up to the chiral transition, which might shed light on the origin of the nucleon mass.Comment: Contribution to the proceedings of XV International Conference on Hadron Spectroscopy (Hadron 2013), November 4-8 2013, Nara, Japa

The Lepton-Number-Violating Decays of B+,D+B^+, D^+ and Ds+D_s^+ Mesons Induced by the Doubly Charged Higgs Boson

The lepton-number-violating decays of $B^+, D^+$ and $D_s^+$ mesons induced by the doubly charged Higgs boson have been studied. It is found that although the yielded results of the branch ratio are much smaller than the present limits from the data they are consistent with the previous conclusions calculated in the framwork of relativistic quark model where the processes happened via the light Majorana neutrinos.Comment: version to appear in PR

Chiral partner structure of heavy baryons from the bound state approach with hidden local symmetry

The chiral partner structure of heavy baryons is studied using the bound state approach by binding the heavy-light mesons to nucleon as soliton in an effective Lagrangian for the pseudoscalar and vector mesons based on the hidden local symmetry. In the heavy-light meson sector, we regard the $H$-doublet and $G$-doublet as chiral partners and couple them to light meson with minimal derivative. We find that the chiral partner of $\Lambda_c(1/2^+,2286)$ is the $\Lambda_c(1/2^-,3/2^-)$ heavy quark doublet with the mass of about 3.1\,GeV but not ($\Lambda_c(1/2^-,2595)$, $\Lambda_c(3/2^-,2625)$) which might be interpreted as an orbital excitation of the $\Lambda_c(1/2^+,2286)$. The same model is applied to the bottom sector, and the chiral partner of $\Lambda_b(1/2^+,5625)$ is shown to have the mass of about 6.5\,GeV. The chiral partner structures for the isospin vector heavy baryons are also discussed. For the pentaquark states, we find that the masses of the pentaquark state made of ground state heavy-light meson and its chiral partner are similar, and both of them are below the $Dp$ threshold, which therefore cannot be ruled out by the present data.Comment: Version appears in Phys. Rev.

The Explicit Derivation of QED Trace Anomaly in Symmetry-Preserving Loop Regularization at One Loop Level

The QED trace anomaly is calculated at one-loop level based on the loop regularization method which is realized in 4-dimensional spacetime and preserves gauge symmetry and Poincare symmetry in spite of the introduction of two mass scales, namely the ultraviolet (UV) cut-off $M_c$ and infrared (IR) cut-off $\mu_s$. It is shown that the dilation Ward identity which relates the three-point diagrams with the vacuum polarization diagrams gets the standard form of trace anomaly through quantum corrections in taking the consistent limit $M_c\to \infty$ and $\mu_s = 0$ which recovers the original integrals. This explicitly demonstrates that the loop regularization method is indeed a self-consistent regularization scheme which is applicable to the calculations not only for the chiral anomaly but also for the trace anomaly, at least at one-loop level. It is also seen that the consistency conditions which relates the tensor-type and scalar-type irreducible loop integrals (ILIs) are crucial for obtaining a consistent result. As a comparison, we also present the one-loop calculations by using the usual Pauli-Villars regularization and the dimensional regularization.Comment: 13 pages, 2 figure

Properties of X(3872) as a hadronic molecule with a negative parity

We discuss the possible interpretation of X(3872) as a $DD^{\ast}$ hadronic molecule with $J^{PC} = 2^{-+}$. Using the phenomenological Lagrangian approach, we studied its radiative and strong decay properties. We find that our model with about 97.6% isospin zero component explains the existing data nicely. We predict the partial widths of the radiative and strong decays of X(3872) and show that the measurement of the ratio $\mathcal{B}(X(3872) \to \chi_{c0}\pi^0)/\mathcal{B}(X(3872) \to \chi_{c1}\pi^0)$ may signal the nature of X(3872).Comment: 5 pages, talk presented at The 4th International Workshop on Charm Physics, Oct 21-24, 2010, Beijing, Chin