bsuˉdˉbs\bar u\bar d : A Promising Detectable Tetraquark

We propose to investigate a particle with four different flavors, $bs\bar u\bar d$, which is a promising detectable tetraquark state. Its $BK$ threshold, 5773 MeV, is 270 MeV higher than the $B_s\pi$ threshold of $bd\bar u\bar s$ and $bu\bar d\bar s$, leading to a large mass region to be stable. If the lowest-lying \bsud state exists below threshold, it can be definitely observed via the weak decay mode $J/\Psi K^-K^-\pi^+$, with the expectation of hundreds of events in the current LHCb data sample but rejecting backgrounds due to its long lifetime. This can be a benchmark of the existence of $X(5568)$ which is a partner of $bs\bar u\bar d$ under the flavor $SU(3)$ symmetry. If no signal is observed in this mode, it constrain the mass of the ground tetraquark state to be larger than the threshold. In the case above threshold, it can be detected via the strong decay mode $\overline B^0K^-$. The $cs\bar u\bar d$ state has similar features.Comment: 5 pages, 2 figures and 2 table

Fiscal, Monetary, and Reserve Requirement Policy in an Endogenous Growth with Financial Market Imperfections

A simple endogenous growth model is developed in a framework where informational imperfections in financial markets give rise to adverse selection as well as costly state verification problems and the government needs to intervene financial markets to monetize its deficits. In the model, adverse selection problem raises credit rationing and financial intermediaries arise endogenously due to costly state verification. Inflation is shown to influence the amount of credit rationing and economic growth. We then examine the effects of government fiscal and monetary policies on equilibrium inflation, the amount of credit rationing, and thus economic growth. Results show that multiple equilibria arise when the share of government deficits is relatively large. We also illustrate how the use of reserve requirement policy can eliminate high inflation equilibrium and enable the government to reduce the inflation rate. In sum, it is found that Tobin effect hold when there is no reserve requirement or it is not binding. However, if the reserve requirement is set too high, such a policy will raise the equilibrium inflation rate and reduce economic growth, leading to a violation of Tobin effect.

Quantum phase transition in a three-level atom-molecule system

We adopt a three-level bosonic model to investigate the quantum phase transition in an ultracold atom-molecule conversion system which includes one atomic mode and two molecular modes. Through thoroughly exploring the properties of energy level structure, fidelity, and adiabatical geometric phase, we confirm that the system exists a second-order phase transition from an atommolecule mixture phase to a pure molecule phase. We give the explicit expression of the critical point and obtain two scaling laws to characterize this transition. In particular we find that both the critical exponents and the behaviors of ground-state geometric phase change obviously in contrast to a similar two-level model. Our analytical calculations show that the ground-state geometric phase jumps from zero to ?pi/3 at the critical point. This discontinuous behavior has been checked by numerical simulations and it can be used to identify the phase transition in the system.Comment: 8 pages,8 figure

Masses of Scalar and Axial-Vector B Mesons Revisited

The SU(3) quark model encounters a great challenge in describing even-parity mesons. Specifically, the $q\bar q$ quark model has difficulties in understanding the light scalar mesons below 1 GeV, scalar and axial-vector charmed mesons and $1^+$ charmonium-like state $X(3872)$. A common wisdom for the resolution of these difficulties lies on the coupled channel effects which will distort the quark model calculations. In this work, we focus on the near mass degeneracy of scalar charmed mesons, $D_{s0}^*$ and $D_0^{*0}$, and its implications. Within the framework of heavy meson chiral perturbation theory, we show that near degeneracy can be qualitatively understood as a consequence of self-energy effects due to strong coupled channels. Quantitatively, the closeness of $D_{s0}^*$ and $D_0^{*0}$ masses can be implemented by adjusting two relevant strong couplings and the renormalization scale appearing in the loop diagram. Then this in turn implies the mass similarity of $B_{s0}^*$ and $B_0^{*0}$ mesons. The $P_0^* P'_1$ interaction with the Goldstone boson is crucial for understanding the phenomenon of near degeneracy. Based on heavy quark symmetry in conjunction with corrections from QCD and $1/m_Q$ effects, we obtain the masses of $B^*_{(s)0}$ and $B'_{(s)1}$ mesons, for example, $M_{B_{s0}^*}= (5715\pm1)\,{\rm MeV}+\delta\Delta_S$, $M_{B'_{s1}}=(5763\pm1)\,{\rm MeV}+\delta\Delta_S$ with $\delta\Delta_S$ being $1/m_Q$ corrections. We find that the predicted mass difference of 48 MeV between $B'_{s1}$ and $B_{s0}^*$ is larger than that of $20\sim 30$ MeV inferred from the relativistic quark models, whereas the difference of 15 MeV between the central values of $M_{B'_{s1}}$ and $M_{B'_1}$ is much smaller than the quark model expectation of $60-100$ MeV.Comment: 21 pages, 1 figure, to appear in Eur. Phys. J. (2017). arXiv admin note: text overlap with arXiv:1404.377