Study of charmonium decays to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>K</mml:mi><mml:mi mathvariant="normal">S</mml:mi><mml:mn>0</mml:mn></mml:msubsup><mml:mi>K</mml:mi><mml:mi>π</mml:mi></mml:math> in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mi>K</mml:mi><mml:mi mathvariant="normal">S</mml:mi><mml:mn>0</mml:mn></mml:msubsup><mml:mi>K</mml:mi><mml:mi>π</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mi>K</mml:mi></mml:math> channels
R. Aaij, A. S. W. Abdelmotteleb, Carlos Abellán Beteta, F. Abudinén, T. Ackernley, B. Adeva, M. Adinolfi, P. Adlarson, H. Afsharnia, C. Agapopoulou, C. Aidala, Z. Ajaltouni, S. Akar, K. Carvalho Akiba, P. Albicocco, J. Albrecht, F. Alessio, M. Alexander, A. Alfonso Albero, Zakariya Aliouche, P. Álvarez Cartelle, Renaud Amalric, S. Amato, J. L. Amey, Y. Amhis, Liupan An, L. Anderlini, M. Andersson, A. Andreianov, M. Andreotti, D. Andreou, D. Ao, F. Archilli, A. Artamonov, M. Artuso, E. Aslanides, M. Atzeni, B. Audurier, Irene Bachiller Perea, S. Bachmann, Marie Bachmayer, J. J. Back, A. Bailly-reyre, P. Baladrón Rodríguez, V. Balagura, W. Baldini, J. Baptista de Souza Leite, M. Barbetti, R. J. Barlow, S. Barsuk, W. Barter, M. Bartolini, F. Baryshnikov, J. M. Basels, G. Bassi, B. Batsukh, A. Battig, A. Bay, A. Beck, M. Becker, F. Bedeschi, I. Bediaga, A. Beiter, S. Belin, V. Bellée, K. Belous, I. Belov, I. Belyaev, G. Benane, G. Bencivenni, E. Ben-Haim, A. Berezhnoy, R. Bernet, Sergi Bernet Andres, D. Berninghoff, H. C. Bernstein, C. Bertella, A. Bertolin, C. Betancourt, F. Betti, Ia. Bezshyiko, J. Bhom, L. Bian, M. S. Bieker, N. V. Biesuz, P. Billoir, A. Biolchini, M. Birch, F. C. R. Bishop, A. Bitadze, A. Bizzeti, Michele Piero Blago, T. Blake, F. Blanc, Jonah Evan Blank, S. Blusk, D. Bobulska, Vladimir Bocharnikov, J. A. Boelhauve, O. Boente García
Abstract
A study of the ${B}^{+}\ensuremath{\rightarrow}{K}_{\mathrm{S}}^{0}{K}^{+}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$ and ${B}^{+}\ensuremath{\rightarrow}{K}_{\mathrm{S}}^{0}{K}^{+}{K}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ decays is performed using proton-proton collisions at center-of-mass energies of 7, 8 and 13 TeV at the LHCb experiment. The ${K}_{\mathrm{S}}^{0}K\ensuremath{\pi}$ invariant mass spectra from both decay modes reveal a rich content of charmonium resonances. New precise measurements of the ${\ensuremath{\eta}}_{c}$ and ${\ensuremath{\eta}}_{c}(2S)$ resonance parameters are performed and branching fraction measurements are obtained for ${B}^{+}$ decays to ${\ensuremath{\eta}}_{c}$, $J/\ensuremath{\psi}$, ${\ensuremath{\eta}}_{c}(2S)$ and ${\ensuremath{\chi}}_{c1}$ resonances. In particular, the first observation and branching fraction measurement of ${B}^{+}\ensuremath{\rightarrow}{\ensuremath{\chi}}_{c0}{K}^{0}{\ensuremath{\pi}}^{+}$ is reported as well as first measurements of the ${B}^{+}\ensuremath{\rightarrow}{K}^{0}{K}^{+}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$ and ${B}^{+}\ensuremath{\rightarrow}{K}^{0}{K}^{+}{K}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ branching fractions. Dalitz plot analyses of ${\ensuremath{\eta}}_{c}\ensuremath{\rightarrow}{K}_{\mathrm{S}}^{0}K\ensuremath{\pi}$ and ${\ensuremath{\eta}}_{c}(2S)\ensuremath{\rightarrow}{K}_{\mathrm{S}}^{0}K\ensuremath{\pi}$ decays are performed. A new measurement of the amplitude and phase of the $K\ensuremath{\pi}$ $S$-wave as functions of the $K\ensuremath{\pi}$ mass is performed, together with measurements of the ${K}_{0}^{*}(1430)$, ${K}_{0}^{*}(1950)$ and ${a}_{0}(1700)$ parameters. Finally, the branching fractions of ${\ensuremath{\chi}}_{c1}$ decays to ${K}^{*}$ resonances are also measured.