Abstract

A Dalitz plot analysis of {{B} ^0} !rightarrow eta _c(1S) {{K} ^+} {{pi } ^-} decays is performed using data samples of pp collisions collected with the text{ LHCb } detector at centre-of-mass energies of {sqrt{s}} =7,~8 and 13{,mathrm {Te}mathrm {V}} , corresponding to a total integrated luminosity of 4.7 ,text{ fb }^{-1} . A satisfactory description of the data is obtained when including a contribution representing an exotic eta _c(1S) pi ^- resonant state. The significance of this exotic resonance is more than three standard deviations, while its mass and width are 4096 pm 20~^{+18}_{-22} ,mathrm {Me}mathrm {V} and 152 pm 58~^{+60}_{-35} ,mathrm {Me}mathrm {V} , respectively. The spin-parity assignments J^P=0^+ and J^{P}=1^- are both consistent with the data. In addition, the first measurement of the {{B} ^0} !rightarrow eta _c(1S) {{K} ^+} {{pi } ^-} branching fraction is performed and gives B(B0→ηc(1S)K+π-)=(5.73±0.24±0.13±0.66)×10-4,\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document}$$\\begin{aligned} \\displaystyle \\mathcal {B}({{B} ^0} \\!\\rightarrow \\eta _c(1S) {{K} ^+} {{\\pi } ^-} ) = (5.73 \\pm 0.24 \\pm 0.13 \\pm 0.66) \\times 10^{-4}, \\end{aligned}$$\\end{document}where the first uncertainty is statistical, the second systematic, and the third is due to limited knowledge of external branching fractions.

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