The production and strong decays ofD_q(2S) andB_q(2S)

Abstract

Contributions to the design and analysis of statistical experiments are grouped into five chapters. The minimisation of mean squared error over a design region has been given as a criterion for designing an experiment by Box and Draper. Their fundamental theorem is extended to the case of the general linear hypothesis. Some numerical results are given for polynomial regression designs. The bordering method of inverting matrices is used to solve the usual least squares linear algebra equations. It is found that this method will in theory provide accurate orthogonal functions and tests for linear dependence and the rank of the matrix. Rounding errors are measured in a numerical example solved on a computer. Chapter three is an investigation of the usefulness of order statistics obtained from the analysis of variance, in the case where we test "treatment" sums of squares all having the same number of degrees of freedom. Considerable use is made of the idea that the ordered data should be plotted on the relevant probability paper as a pictorial aid. This assists the investigator to avoid the pitfalls of carrying out standard tests such as F tests under conditions where it is disadvantageous to do so. Even in unroplicated experiments one may see immediately that the usual hypothesis of normality is wrong, 4 or that the assumption of additivity may not hold. In chapter four a solution is given to the problem of fitting a curve subject to the constraint that the slope should be non-negative throughout the region of interest, This is treated as a problem in quadratic programming with a single linear parametric constraint. Chapter five contains a brief investigation into the problems of fitting a model which is non-linear overall but which consists of separate linear models joined at location parameters which have to be estimated. 5 Acknowledgments

Weak decays of $J/\psi $ and ${\rm{\Upsilon }}(1S)$

“…So we construct it by / P , / q, / ǫ, and some scalar functions with the condition that it has the same J P (C) number as that of the corresponding meson. The explicit forms of wave functions and the process of solving corresponding Salpeter equations are given in our former papers [34,35]. Here we only give the expressions of vector (1 − ) and pseudoscalar (0 − ) wave functions in Appendix A.…”

Understanding the charmed states recently observed by the LHCb andBaBarCollaborations in the quark model

“…According to the PDG [4], the low-mass charmed mesons D(1 1 for these observed charmed states have been studied in the context of various models such as the chiral quark model [5][6][7], the heavy meson effective theory [8][9][10], and the 3 P 0 model with the simple harmonic oscillator wave functions [11][12][13][14][15] or the nonrelativistic quark model wave functions [16], and other approaches [17][18][19]. It is also natural and necessary to exhaust the possible qq descriptions before restoring to more exotic assignments.…”

Strong decays of $$D_{3}^{*}(2760)$$ D 3 ∗ ( 2760 ) , $$D_{s3}^{*}(2860)$$ D s 3 ∗ ( 2860 ) , $$B_{3}^{*}$$ B 3 ∗ , and $$B_{s3}^{*}$$ B s 3 ∗

“…To deal with this difficulty, we take a different method, which is realized by using the reduction formula, PCAC and the low energy theorem. This method has been applied to deal with the strong decays of S-wave heavy-light mesons [44,45], which get the results close to the experimental data. However, this method can only be applied to the case when the light meson being a pseudoscalar one.…”