arXiv subjects
Publications and source records attributed to Hongying Jin.
We calculate the two-pion exchange potential between a heavy meson and a heavy baryon. We find this potential is as strong as the one-pion exchange potential between two heavy mesons and is enough to bind $Λ_b-\bar B$. Though our result is sensitive to the cut-off, the value of the cut-off is in the reasonable region.
We adopted the form of v.e.v. of the bulk scalar field proposed by P.Zhang in this paper, and changed the dilaton background from $e^{-κ^2z^2}$ to $e^{-κ^2z^2+αz}$ accordingly. The calculation shows that, as if we choose proper parameters, we can get a better result than both the present soft-wall models and the hard-wall model while keeping Regge behavior unchanged.
We discuss the mixing between the sigma meson sigma and the "pure" glueball field H and study the decays of the scalar glueball candidates f_0(1370), f_0(1500) and f_0(1710) (a linear combination of sigma and H) into two pions in an effective linear sigma model.
The decay widths of the 0^{++} and 1^{-+} heavy-light hybrids to B(D) and pion are calculated by using the QCD sum rules. The interpolated current of the hybrid is chosen as $g\bar qγ_αG_{αμ}^aT^ah_{\it v}(x)$. In order to simplify the calculation and avoid the ambiguity of three-point correlation function, a two-point correlation function between the pion and vacuum is used instead. The decay width of the $0^{++}\to B(D)$ is about 12(16) MeV while the $1^{-+}\to B(D)$ is around 0.4(1.8) MeV. We keep the leading order of 1/M_Q expansion in our calculation for convenience.
The spectrum of the $0^{++}$, $0^{--}$, $1^{-+}$ and $1^{+-}$ heavy-light hybrids have been calculated in HQET. The interpolated current of the hybrid is chosen as $g\bar qγ_αG_{αμ}^aT^ah_{\it v}(x)$, $g\bar qγ_αγ_{5}G_{αμ}^aT^ah_{\it v}(x)$ and $g\bar qσ_{μα}G_{αμ}^aT^ah_{\it v}(x)$. Some strong couplings and decay widths of the heavy-light hybrids to $B(D)π$ are calculated by using the QCD sum rules. The mass of $0^{++}$ hybrid with gluon in TM($1^{--}$) or TE($1^{+-}$) mode is found similar, while their decay widths are different. A two-point correlation function between the pion and vacuum is employed and the leading order of $1/M_Q$ expansion is kept in our calculation.
We calculate masses of the light-quark hybrid mesons with the quantum number $0^{++}$ and $0^{-+}$ by using the QCD sum rules. Two kinds of the interpolated currents with the same quantum number are employed. We find that the approximately equal mass is predicted for the $0^{-+}$ hybrid state from the different current and the different mass is obtained for the $0^{++}$ hybrid state from the different current. The prediction depends on the interaction between the gluon and quarks in the low-lying hybrid mesons. The mixing effect on the mass of the light-quark hybrid meson through Low-energy theorem has been examined too, and it is found that this mixing shifts the mass of hybrid meson and glueball a little.
We examine the mixing between the sigma meson $σ$ and the "pure" glueball field $H$ and study the decays of the scalar glueball candidate $f_0(1500)$ (a linear combination of $σ$ and $H$) into two and four pions in effective linear sigma model. From recent experimental data on $f_0(1500)$ decay to pions we point out that the mixing angle is of order of 0.1.
We discuss the rescattering effects in decays $B\to π+K$. The picture we take is very simple: first, B decay into $K*ρ$, then $K*$ and $ρ$ go to kaon and pion by exchanging a pion. We find a up to ten percent CP violation asymmetry rate. We also discuss its correction to the constraint of angle $γ$ proposed recently.
With help of the recent developments in the heavy quarkonium physics, we reexamine the long distance(LD) effects in \Bsee dominantly from the charmonium resonances $J/Ψ$ and $Ψ^{\prime}$ through the decay chains $B\ra X_s J/Ψ(Ψ^{\prime}) \ra X_s e^+ e^-$. We find that the resonance to nonresonance interference are reduced substantially.
With respect to large samples of $B_c$ mesons expected to be produced at CERN Large Hadron Collider(LHC) and the large branching ratios $Br(B_{c}\to τ\barν)$ and $Br(B_{c}\to μ\barν)$, we suggest that $B_c$ purely leptonic decays could offer an unique probe of the standard model and its extensions such as two Higgs doublet models and models involving supersymmetry, and also the structure of charged weak currents.