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A Mathematical Review on the Multiple Solublem Problem

K. Zhu; X. H. Mo; C. Z. Yuan; P. WangSubjects: Physics >> Condensed Matter: Structural, Mechanical and Thermal Properties

The recent multiple solutions problem in high energy physics has been reviewed with a more mathematical viewpoint. Although previously these multiple solutions are found via fit process, in this letter we have proved that if a sum of two coherent simple Breit-Wigner functions is used to fit the measured distribution, there should be two and only two non-trivial solutions, which are related with each other by analytical formulae. |

submitted time
2017-03-26
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On the leptonic partial widths of the excited ψ states

X. H. Mo; C. Z. Yuan; P. WangSubjects: Physics >> Condensed Matter: Structural, Mechanical and Thermal Properties

The resonance parameters of the excited ψ-family resonances, namely the ψ(4040), ψ(4160), and ψ(4415), were determined by fitting the R-values measured by experiments. It is found that the previously reported leptonic partial widths of these states were merely one possible solutions among a four-fold ambiguity. By fitting the most precise experimental data on the R-values measured by the BES collaboration, this work presents all four sets of solutions. These results may affect the interpretation of the charmonium and charmonium-like states above 4 GeV/c2. |

submitted time
2017-03-26
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Multiple solutions in extracting physics information from experimental data

C. Z. Yuan; X. H. Mo; P. WangSubjects: Physics >> Condensed Matter: Structural, Mechanical and Thermal Properties

Multiple solutions exist in many experimental situations when several interfering amplitudes are summed to fit experimentally measured distributions, such as cross sections, mass spectra, and/or the angular distributions. We show a few examples where multiple solutions are found, but only one solution is reported in the publications. Since there is no standard rule for choosing one among the solutions as the physics one, we propose a simple rule that agrees with what has been adopted in previous literatures: the solution corresponding to the minimal magnitudes of the amplitudes must be the physical solution. We suggest test this rule in the future analyses. |

submitted time
2017-03-26
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Determining the upper limit of Γee for the Y(4260)

X. H. Mo; G. Li; C. Z. Yuan; K. L. He; H. M. Hu; Hu J. H.; P. Wang; Z. Y. WangSubjects: Physics >> Condensed Matter: Structural, Mechanical and Thermal Properties

By fitting the R values between 3.7 and 5.0 GeV measured by the BES Collaboration, the upper limit of the electron width of the newly discovered resonance Y(4260) is determined to be 240 eV at 90% C.L. Together with the BaBar measurement on Γee? B(Y(4260) → π+π- J/ψ), this implies a large decay width of Y (4260) → π+π- J/ψ final states. |

submitted time
2017-03-26
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Experimental Searches for the Non-D(D) Decays of ψ(3770) in e+e- Collider

K. L. He; X. H. Mo; P. Wang; C. Z. YuanSubjects: Physics >> Condensed Matter: Structural, Mechanical and Thermal Properties

The previous experiments which provide information on the ψ(3770) to non-DD decays are reviewed. Three approaches of searching for the non-D(D) decays are discussed in detail. It is also pointed out that the search for the non-D(D) decays of the ψ(3770) is very important for the understanding of the dynamics of charmonium decays. |

The Y(4260) as an ω χc1 molecular state

C. Z. Yuan; P. Wang; X. H. MoSubjects: Physics >> Condensed Matter: Structural, Mechanical and Thermal Properties

It is suggested that the newly observed Y(4260) by BaBar Collaboration is a molecular state composed of an ω and a χc1. Both the production and decay properties are discussed. A consequence for this molecular state, Y(4260), is that it decays copiously into π+π-π0χcl. It is also expected that Y(4260) →π0π0J/ψ is produced at half rate as Y(4260) →π0π0J/ψ. These decay modes should be searched for in the B factories using initial state radiative return data and B decay data as well. |

Measurement of the exclusive light hadron decays of the ψ″ in e+e- experiments

Wang P.; X. H Mo; C. Z. YuanSubjects: Physics >> Condensed Matter: Structural, Mechanical and Thermal Properties

The measurement of the exclusive light hadron decays of the ψ" in e+e- experiments with significant interference between the ψ" and continuum amplitudes is discussed. The radiative correction and the Monte Carlo simulation are studied. A possible to verify the destructive interference is proposed for the detectors with energy-momentum resolution of (1～2)%. |

Possible large branching fraction of ψ″ decays to charmless final states

P. Wang; C. Z. Yuan; X. H. MoSubjects: Physics >> Condensed Matter: Structural, Mechanical and Thermal Properties

The branching fraction of the ψ" decays into charmless final states is estimated in the S- and D-wave charmonia mixing scheme. With the information of the hadronic decays of J/ψ and ψ', it is found that a large branching fraction, up to 13% of the total ψ" decays, may go to charmless final states. The experimental search for these decays is also discussed. |

Measuring ψ″ → K0SK0L as a test of the S- and D-wave mixing of charmonia

P. Wang; X. H. Mo; C. Z. YuanSubjects: Physics >> Condensed Matter: Structural, Mechanical and Thermal Properties

Adding to the long standing “ρπ puzzle” in ψ′and J/ψ decays, recently BEijing Spectrometer (BES) reported B(ψ′→ K0SK0L) which is enhanced relative to the pQCD “12% rule” expectation from B(J/ψ → K0SK0L). If the enhancement is due to the mixing of the S- and D-wave charmonium states as in the ρπ case, the newly measured B(ψ′ → K0SK0L) gives a constraint on B(ψ″ → K0SK0L).It erves as a good test for the scenario of the S- and D-wave mixing in the ψ′and ψ″. |

Measuring ψ″→ρπ in e+e? experiment

P. Wanga; C. Z. Yuan; X. H. MoSubjects: Physics >> Condensed Matter: Structural, Mechanical and Thermal Properties

In S- and D-wave mixing scheme, the branching ratio of ψ″→ρπ is estimated. Together with the continuum cross section of ρπ estimated by form factor, the observed cross section of ρπ production at ψ″ in e+e? experiment is calculated taking into account the interference effect between the resonance and continuum amplitudes and the initial state radiative correction. The behavior of the cross section reveals that the disappearance of ρπ signal just indicates the existence of the corresponding branching ratio Bψ″→ρπ at the order of 10?4. |