19,441 research outputs found

    Short note on two output-dependent hidden Markov models

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    The purpose of this note is to study the assumption of mutual information independence", which is used by Zhou (2005) for deriving an output-dependent hidden Markov model, the so-called discriminative HMM (D-HMM), in the context of determining a stochastic optimal sequence of hidden states. The assumption is extended to derive its generative counterpart, the G-HMM. In addition, state-dependent representations for two output-dependent HMMs, namely HMMSDO (Li, 2005) and D-HMM, are presented

    Study on radiative decays of DsJβˆ—(2860)D^*_{sJ}(2860) and Ds1βˆ—(2710)D^*_{s1}(2710) into DsD_s by means of LFQM

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    The observed resonance peak around 2.86 GeV has been carefully reexamined by the LHCb collaboration and it is found that under the peak there reside two states Ds1βˆ—(2860)D^*_{s1}(2860) and Ds3βˆ—(2860)D^*_{s3}(2860) which are considered as 13D1(csΛ‰)1^3D_1(c\bar s) and 13D3(csΛ‰)1^3D_3(c\bar s) with slightly different masses and total widths. Thus, the earlier assumption that the resonance Ds1βˆ—(2710)D^*_{s1}(2710) was a 1D1D state should not be right. We suggest to measure the partial widths of radiative decays of DsJβˆ—(2860)D^*_{sJ}(2860) and Ds1βˆ—(2710)D^*_{s1}(2710) to confirm their quantum numbers. We would consider Ds1βˆ—(2710)D^*_{s1}(2710) as 23S12^3S_1 or a pure 13D11^3D_1 state, or their mixture and respectively calculate the corresponding branching ratios as well as those of DsJβˆ—(2860)D^*_{sJ}(2860). The future precise measurement would provide us information to help identifying the structures of those resonances .Comment: 8 pages, 4 figures, 1 tabl
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