Possible Interpretations of DsJ+(2632)D_{sJ}^+(2632) If It Really Exists

We analyze various possible interpretations of the narrow state $D_{sJ}^+(2632)$ observed by SELEX Collaboration recently, which lies above threshold and has abnormal decay pattern. These interpretations include: (1) several versions of tetraquarks; (2) conventional $c\bar s$ meson such as the first radial excitation of $D_s(2112)$ with abnormally large SU(3) symmetry breaking; (3) conventional $c\bar s$ meson with abnormally large $\eta_1$ coupling; (4) heavy hybrid meson. We discuss the physical implications of each interpretation. For example, if the existence of $D_{sJ}^+(2632)$ is confirmed as the first radial excitation of $D_s(2112)$ by other experiments, it will be helpful to look for (1) its SU(3) flavor partners $D_{J}^{0,+}(2530)$; (2) its B-meson analogues $B_{J}^{0,+}(5840), B_{sJ}^+(5940)$; (3) S-wave two pion decay modes

Towards an Understanding of the New Charm and Charm-Strange Mesons

The observation of the D_{sJ}^*(2317), D_{sJ}(2460), and SELEX D^*_{sJ}(2632) states with properties differing considerably from what was expected has led to a renewed interest in hadron spectroscopy. In addition to these states, non-strange partners of the D_{sJ} states have also been observed. Understanding the D_0^* and D_1' states can provide important insights into the D_{sJ} states. In this contribution I examine quark model predictions for the D_0^* and D_1' states and discuss experimental measurements that can shed light on them. I find that these states are well described as the broad, j=1/2 non-strange charmed P-wave mesons. In the latter part of this writeup I discuss the c bar{s} possibilities for the SELEX D^*_{sJ}(2632) and measurements that can shed light on it.Comment: Talk presented at the 1st Meeting of the APS Topical Group on Hadronic Physics (Fermilab, Oct 24-26, 2004). 4 pages uses jpcon

Optimal Quantization for Some Triadic Uniform Cantor Distributions with Exact Bounds

Let {Sj:1≤j≤3} be a set of three contractive similarity mappings such that Sj(x)=rx+j−12(1−r) for all x∈R, and 1≤j≤3, where 0 Let {Sj:1≤j≤3} \u3e{Sj:1≤j≤3}{Sj:1≤j≤3} be a set of three contractive similarity mappings such that Sj(x)=rx+j−12(1−r) \u3eSj(x)=rx+j−12(1−r)Sj(x)=rx+j−12(1−r) for all x∈R \u3ex∈Rx∈R, and 1≤j≤3 \u3e1≤j≤31≤j≤3, where 0P has support the Cantor set generated by the similarity mappings Sj \u3eSjSj for 1≤j≤3 \u3e1≤j≤31≤j≤3. Let r0=0.1622776602 \u3er0=0.1622776602r0=0.1622776602, and r1=0.2317626315 \u3er1=0.2317626315r1=0.2317626315 (which are ten digit rational approximations of two real numbers). In this paper, for 00n-means and the nth quantization errors for the triadic uniform Cantor distribution P for all positive integers n≥2 \u3en≥2n≥2. Previously, Roychowdhury gave an exact formula to determine the optimal sets of n-means and the nth quantization errors for the standard triadic Cantor distribution, i.e., when r=15 \u3er=15r=15. In this paper, we further show that r=r0 \u3er=r0r=r0 is the greatest lower bound, and r=r1 \u3er=r1r=r1 is the least upper bound of the range of r-values to which Roychowdhury formula extends. In addition, we show that for 0

Properties of the Charmed P-wave Mesons

Two broad charmed mesons, the D_0^* and D_1', have recently been observed. We examine the quark model predictions for the D_0^* and D_1' properties and discuss experimental measurements that can shed light on them. We find that these states are well described as the broad, j=1/2 non-strange charmed P-wave mesons. Understanding the D_0^* and D_1' states can provide important insights into the D_{sJ}^*(2317), D_{sJ}(2460) states whose unexpected properties have led to renewed interest in hadron spectroscopy.Comment: 7 pages. Some additional discussion and reference