Abstract
We discusses the charge asymmetry in B → \( D\overline{D}K \) decays with an invariant mass of the \( D\overline{D} \) pair near the Ψ(3770) resonance. Unlike Ψ(3770) decays in e+e− annihilation, in B+ decays the probability of \( {D}^0{\overline{D}}^0 \) production is almost three times higher than D+D−. In B0 decays, the ratio of these probabilities will be opposite. The effect is explained by the fact that, in B-meson decays, the \( D\overline{D} \) pair is produced in a superposition of isoscalar and isovector states, and only in combination with K-mesons the total state has 1/2 isospin. We present a simple model in which the interference of the nonresonant isovector amplitude with the resonant isoscalar amplitude explains the experimental data.
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References
D. Johnson, B → \( D\overline{D}h \) decays: a new (virtual) laboratory for exotic particle searches at LHCb, LHC seminar, CERN, Geneva, Switzerland, 11 August 2020.
LHCb collaboration, Amplitude analysis of the B+ → D+D−K+ decay, arXiv:2009.00026 [INSPIRE].
M. Karliner and J.L. Rosner, First exotic hadron with open heavy flavor: \( cs\overline{u}\overline{d} \) tetraquark, Phys. Rev. D 102 (2020) 094016 [arXiv:2008.05993] [INSPIRE].
M.-W. Hu, X.-Y. Lao, P. Ling and Q. Wang, The X0(2900) and its heavy quark spin partners in molecular picture, arXiv:2008.06894 [INSPIRE].
X.-G. He, W. Wang and R. Zhu, Open-charm tetraquark Xc and open-bottom tetraquark Xb, Eur. Phys. J. C 80 (2020) 1026 [arXiv:2008.07145] [INSPIRE].
X.-H. Liu, M.-J. Yan, H.-W. Ke, G. Li and J.-J. Xie, Triangle singularity as the origin of X0(2900) and X1(2900) observed in B+ → D+D−K+, arXiv:2008.07190 [INSPIRE].
J.-R. Zhang, An open charm tetraquark candidate: note on X0(2900), arXiv:2008.07295 [INSPIRE].
Q.-F. Lü, D.-Y. Chen and Y.-B. Dong, Open charm and bottom tetraquarks in an extended relativized quark model, Phys. Rev. D 102 (2020) 074021 [arXiv:2008.07340] [INSPIRE].
M.-Z. Liu, J.-J. Xie and L.-S. Geng, X0(2866) as a \( {D}^{\ast }{\overline{K}}^{\ast } \) molecular state, Phys. Rev. D 102 (2020) 091502 [arXiv:2008.07389] [INSPIRE].
H.-X. Chen, W. Chen, R.-R. Dong and N. Su, X0(2900) and X1(2900): hadronic molecules or compact tetraquarks, Chin. Phys. Lett. 37 (2020) 101201 [arXiv:2008.07516] [INSPIRE].
J. He and D.-Y. Chen, Molecular picture for X0(2900) and X1(2900), arXiv:2008.07782 [INSPIRE].
Z.-G. Wang, Analysis of the X0(2900) as the scalar tetraquark state via the QCD sum rules, Int. J. Mod. Phys. A 35 (2020) 2050187 [arXiv:2008.07833] [INSPIRE].
Y. Huang, J.-X. Lu, J.-J. Xie and L.-S. Geng, Strong decays of \( {\overline{D}}^{\ast }{K}^{\ast } \) molecules and the newly observed X0,1 states, Eur. Phys. J. C 80 (2020) 973 [arXiv:2008.07959] [INSPIRE].
BaBar collaboration, Dalitz plot analyses of B0 → D−D0K+ and B+ → \( \overline{D}{D}^0{K}^{+} \) decays, Phys. Rev. D 91 (2015) 052002 [arXiv:1412.6751] [INSPIRE].
BaBar collaboration, Measurement of the \( B\to {\overline{D}}^{\left(\ast \right)}{D}^{\left(\ast \right)}K \) branching fractions, Phys. Rev. D 83 (2011) 032004 [arXiv:1011.3929] [INSPIRE].
CLEO collaboration, Updated measurements of absolute D+ and D0 hadronic branching fractions and \( \sigma \left({e}^{+}{e}^{-}\to D\overline{D}\right) \) at Ecm = 3774 MeV, Phys. Rev. D 89 (2014) 072002 [Erratum ibid. 91 (2015) 019903] [arXiv:1312.6775] [INSPIRE].
BESIII collaboration, Measurement of e+e− → \( D\overline{D} \) cross sections at the Ψ(3770) resonance, Chin. Phys. C 42 (2018) 083001 [arXiv:1803.06293] [INSPIRE].
BaBar collaboration, Study of resonances in exclusive B decays to \( {\overline{D}}^{\left(\ast \right)}{D}^{\left(\ast \right)}K \), Phys. Rev. D 77 (2008) 011102 [arXiv:0708.1565] [INSPIRE].
Belle collaboration, Observation of B+ → Ψ(3770)K+, Phys. Rev. Lett. 93 (2004) 051803 [hep-ex/0307061] [INSPIRE].
V.F. Dmitriev, A.I. Milstein and S.G. Salnikov, Isoscalar amplitude dominance in e+e− annihilation to \( N\overline{N} \) pair close to the threshold, Phys. Atom. Nucl. 77 (2014) 1173 [Yad. Fiz. 77 (2014) 1234] [arXiv:1307.0936] [INSPIRE].
V.F. Dmitriev, A.I. Milstein and S.G. Salnikov, Real and virtual \( N\overline{N} \) pair production near the threshold, Phys. Rev. D 93 (2016) 034033 [arXiv:1512.00951] [INSPIRE].
A.I. Milstein and S.G. Salnikov, Fine structure of the cross sections of e+e− annihilation near the thresholds of \( p\overline{p} \) and \( n\overline{n} \) production, Nucl. Phys. A 977 (2018) 60 [arXiv:1804.01283] [INSPIRE].
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Bondar, A.E., Milstein, A.I. Charge asymmetry in decays B → \( D\overline{D}K \). J. High Energ. Phys. 2020, 15 (2020). https://doi.org/10.1007/JHEP12(2020)015
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DOI: https://doi.org/10.1007/JHEP12(2020)015