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Chinese Physics C> 2015, Vol. 39> Issue(9) : 093101 DOI: 10.1088/1674-1137/39/9/093101

Identifying the structure of near-threshold states from the line shape

  • We revisit the compositeness theorem proposed by Weinberg in an effective field theory (EFT) and explore criteria which are sensitive to the structure of S-wave threshold states. On a general basis, we show that the wave function renormalization constant Z, which is the probability of finding an elementary component in the wave function of a threshold state, can be explicitly introduced in the description of the threshold state. As an application of this EFT method, we describe the near-threshold line shape of the D*0√D0 invariant mass spectrum in B→D*0√D0K and determine a nonvanishing value of Z. It suggests that the X(3872) as a candidate of the D*0√D0 molecule may still contain a small cc core. This elementary component, on the one hand, explains its production in the B meson decay via a short-distance mechanism, and on the other hand, is correlated with the D*0√D0 threshold enhancement observed in the D*0√D0 invariant mass distributions. Meanwhile, we also show that if Z is non-zero, the near-threshold enhancement of the D*0√D0 mass spectrum in the B decay will be driven by the short-distance production mechanism.
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CHEN Guo-Ying, HUO Wen-Sheng and ZHAO Qiang. Identifying the structure of near-threshold states from the line shape[J]. Chinese Physics C, 2015, 39(9): 093101. doi: 10.1088/1674-1137/39/9/093101
CHEN Guo-Ying, HUO Wen-Sheng and ZHAO Qiang. Identifying the structure of near-threshold states from the line shape[J]. Chinese Physics C, 2015, 39(9): 093101.  doi: 10.1088/1674-1137/39/9/093101 shu
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Received: 2014-11-18
Revised: 2015-04-01
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Identifying the structure of near-threshold states from the line shape

    Corresponding author: CHEN Guo-Ying,
    Corresponding author: HUO Wen-Sheng,
    Corresponding author: ZHAO Qiang,
  • Received Date: 2014-11-18
  • Accepted Date: 2015-04-01
  • Available Online: 2015-09-05

Abstract: We revisit the compositeness theorem proposed by Weinberg in an effective field theory (EFT) and explore criteria which are sensitive to the structure of S-wave threshold states. On a general basis, we show that the wave function renormalization constant Z, which is the probability of finding an elementary component in the wave function of a threshold state, can be explicitly introduced in the description of the threshold state. As an application of this EFT method, we describe the near-threshold line shape of the D*0√D0 invariant mass spectrum in B→D*0√D0K and determine a nonvanishing value of Z. It suggests that the X(3872) as a candidate of the D*0√D0 molecule may still contain a small cc core. This elementary component, on the one hand, explains its production in the B meson decay via a short-distance mechanism, and on the other hand, is correlated with the D*0√D0 threshold enhancement observed in the D*0√D0 invariant mass distributions. Meanwhile, we also show that if Z is non-zero, the near-threshold enhancement of the D*0√D0 mass spectrum in the B decay will be driven by the short-distance production mechanism.

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