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Possible Interpretations of If It Really Exists
We analyze various possible interpretations of the narrow state
observed by SELEX Collaboration recently, which lies above
threshold and has abnormal decay pattern. These interpretations include: (1)
several versions of tetraquarks; (2) conventional meson such as the
first radial excitation of with abnormally large SU(3) symmetry
breaking; (3) conventional meson with abnormally large
coupling; (4) heavy hybrid meson. We discuss the physical implications of each
interpretation. For example, if the existence of is confirmed
as the first radial excitation of by other experiments, it will be
helpful to look for (1) its SU(3) flavor partners ; (2) its
B-meson analogues ; (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
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