Amplitude analysis of $$B^0 \rightarrow \eta _c(1S) K^+ \pi ^- $$ decays

Abstract An amplitude analysis of the $${{{B} ^0} \!\rightarrow {\eta _{c}} (1S) {{K} ^+} {{\pi } ^-}} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>B</mml:mi> </mml:mrow> <mml:mn>0</mml:mn> </mml:msup> <mml:mspace/> <mml:mo>→</mml:mo> <mml:msub> <mml:mi>η</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mi>S</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:msup> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> <mml:mo>+</mml:mo> </mml:msup> <mml:msup> <mml:mrow> <mml:mi>π</mml:mi> </mml:mrow> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math> decays with $${\eta _{c}} (1S) \rightarrow {p} {\overline{{p}}} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>η</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mi>S</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>→</mml:mo> <mml:mi>p</mml:mi> <mml:mover> <mml:mi>p</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> </mml:math> is performed using a sample corresponding to an integrated luminosity of 9 $$\,\text {fb} ^{-1}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mspace/> <mml:msup> <mml:mtext>fb</mml:mtext> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> </mml:math> of $$p $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> $$p $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> collision data collected by the LHCb detector at centre-of-mass energies of $$\sqrt{s}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mi>s</mml:mi> </mml:msqrt> </mml:math> = 7, 8 and 13 $$\,\text {Te\hspace{-1.00006pt}V}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mspace/> <mml:mtext>Te</mml:mtext> <mml:mspace/> <mml:mtext>V</mml:mtext> </mml:mrow> </mml:math> . The data are described with a model including only intermediate contributions from known $${K} ^{*0}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mmultiscripts> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> <mml:mrow/> <mml:mrow> <mml:mrow/> <mml:mo>∗</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> </mml:mmultiscripts> </mml:math> resonances. Evidence for an exotic resonance in the $${\eta _{c}} (1S) {{\pi } ^-} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>η</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mi>S</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:msup> <mml:mrow> <mml:mi>π</mml:mi> </mml:mrow> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math> system, reported in a previous analysis of this decay channel, is not confirmed. The inclusive branching fraction of the $${{B} ^0} \rightarrow {\eta _{c}} (1S) {{K} ^+} {{\pi } ^-} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>B</mml:mi> </mml:mrow> <mml:mn>0</mml:mn> </mml:msup> <mml:mo>→</mml:mo> <mml:msub> <mml:mi>η</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mi>S</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:msup> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> <mml:mo>+</mml:mo> </mml:msup> <mml:msup> <mml:mrow> <mml:mi>π</mml:mi> </mml:mrow> <mml:

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Journal
The European Physical Journal C
Published
2026-05-18
DOI
https://doi.org/10.1140/epjc/s10052-026-15474-w
Primary Topic
Quantum Chromodynamics and Particle Interactions
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preprint
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preprint

Amplitude analysis of $$B^0 \rightarrow \eta _c(1S) K^+ \pi ^- $$ decays

W. Baldini, M. Becker, Sergi Bernet Andres, C. Arata et al.
The European Physical Journal C
Quantum Chromodynamics and Particle Interactions
preprint

Amplitude analysis of $$B^0 \rightarrow \eta _c(1S) K^+ \pi ^- $$ decays

W. Baldini, M. Becker, Sergi Bernet Andres, C. Arata, W. Barter, Alessia Anelli, F. Betti, L. Anderlini, Pasquale Andreola, Anna Balboni, Luca Balzani, Noah Albin Behling, J. J. Back, Y. Amhis, R. J. Barlow, E. Aslanides, V. Balagura, S. Arguedas Cuendis
preprint en

Abstract

Abstract An amplitude analysis of the $${{{B} ^0} \!\rightarrow {\eta _{c}} (1S) {{K} ^+} {{\pi } ^-}} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>B</mml:mi> </mml:mrow> <mml:mn>0</mml:mn> </mml:msup> <mml:mspace/> <mml:mo>→</mml:mo> <mml:msub> <mml:mi>η</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mi>S</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:msup> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> <mml:mo>+</mml:mo> </mml:msup> <mml:msup> <mml:mrow> <mml:mi>π</mml:mi> </mml:mrow> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math> decays with $${\eta _{c}} (1S) \rightarrow {p} {\overline{{p}}} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>η</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mi>S</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>→</mml:mo> <mml:mi>p</mml:mi> <mml:mover> <mml:mi>p</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> </mml:math> is performed using a sample corresponding to an integrated luminosity of 9 $$\,\text {fb} ^{-1}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mspace/> <mml:msup> <mml:mtext>fb</mml:mtext> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> </mml:math> of $$p $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> $$p $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> collision data collected by the LHCb detector at centre-of-mass energies of $$\sqrt{s}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mi>s</mml:mi> </mml:msqrt> </mml:math> = 7, 8 and 13 $$\,\text {Te\hspace{-1.00006pt}V}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mspace/> <mml:mtext>Te</mml:mtext> <mml:mspace/> <mml:mtext>V</mml:mtext> </mml:mrow> </mml:math> . The data are described with a model including only intermediate contributions from known $${K} ^{*0}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mmultiscripts> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> <mml:mrow/> <mml:mrow> <mml:mrow/> <mml:mo>∗</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> </mml:mmultiscripts> </mml:math> resonances. Evidence for an exotic resonance in the $${\eta _{c}} (1S) {{\pi } ^-} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>η</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mi>S</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:msup> <mml:mrow> <mml:mi>π</mml:mi> </mml:mrow> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math> system, reported in a previous analysis of this decay channel, is not confirmed. The inclusive branching fraction of the $${{B} ^0} \rightarrow {\eta _{c}} (1S) {{K} ^+} {{\pi } ^-} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>B</mml:mi> </mml:mrow> <mml:mn>0</mml:mn> </mml:msup> <mml:mo>→</mml:mo> <mml:msub> <mml:mi>η</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mi>S</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:msup> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> <mml:mo>+</mml:mo> </mml:msup> <mml:msup> <mml:mrow> <mml:mi>π</mml:mi> </mml:mrow> <mml:

The European Physical Journal CVol. 86(5)
Universidade da Coruña (ES), University of Rome Tor Vergata (IT), Universidade Federal do Rio de Janeiro (BR), University of Modena and Reggio Emilia (IT), Uppsala University (SE), Jagiellonian University (PL), Centre National de la Recherche Scientifique (FR), University of Bonn (DE), École Polytechnique (FR), University of Liverpool (GB), Délégation Paris 7 (FR), Vilnius University (LT), Taras Shevchenko National University of Kyiv (UA), Université Clermont Auvergne (FR), Universidade de Santiago de Compostela (ES), TU Dortmund University (DE), Peking University (CN), University of Zurich (CH), Université Paris Cité (FR), Aix-Marseille Université (FR), Heidelberg University (DE), University of Cambridge (GB), Pontifícia Universidade Católica do Rio de Janeiro (BR), Commissariat à l'Énergie Atomique et aux Énergies Alternatives (FR), Université Paris-Saclay (FR), University of Michigan (US), Laboratoire d’Annecy de Physique des Particules (FR), CEA Paris-Saclay - Etablissement de Saclay (FR), Machine Intelligence Research Institute (US), University of Manchester (GB), University of Bristol (GB), University of Warwick (GB), Sorbonne Université (FR), University of Oxford (GB), Sorbonne Paris Cité (FR), National Institute for Subatomic Physics (NL), Centre de physique des particules de Marseille (FR), Laboratoire de Physique de Clermont Auvergne (FR), Laboratoire de Physique Nucléaire et de Hautes Énergies (FR), Istituto Nazionale di Fisica Nucleare, Sezione di Padova (IT), Institute of Nuclear Physics, Polish Academy of Sciences (PL), Istituto Nazionale di Fisica Nucleare, Sezione di Ferrara (IT), Istituto Nazionale di Fisica Nucleare, Roma Tor Vergata (IT), FZU ‒ Institute of Physics of the Academy of Sciences of the Czech Republic (CZ), Centro Brasileiro de Pesquisas Físicas (BR), Istituto Nazionale di Fisica Nucleare, Sezione di Genova (IT), CEA Paris-Saclay (FR), Istituto Nazionale di Fisica Nucleare, Sezione di Firenze (IT), Institut National de Physique Nucléaire et de Physique des Particules (FR), Laboratoire de Physique des 2 Infinis Irène Joliot-Curie (FR), Istituto Nazionale di Fisica Nucleare, Sezione di Milano Bicocca (IT), Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Frascati (IT), Istituto Nazionale di Fisica Nucleare, Sezione di Bologna (IT), Laboratoire Leprince-Ringuet (FR), Istituto Nazionale di Fisica Nucleare, Sezione di Roma I (IT), Istituto Nazionale di Fisica Nucleare, Sezione di Pisa (IT), Russian University of Cooperation (RU), University of Chinese Academy of Sciences (CN), Institut de Recherche sur les Lois Fondamentales de l'Univers (FR), Lamarr Institute for Machine Learning and Artificial Intelligence, Consejo Nacional de Rectores, Imperial College London (GB), École Polytechnique Fédérale de Lausanne (CH), Universitat Ramon Llull (ES), Massachusetts Institute of Technology (US), University of Milano-Bicocca (IT), European Organization for Nuclear Research (CH), AGH University of Krakow (PL), Université Savoie Mont Blanc (FR), Syracuse University (US), Ruhr University Bochum (DE), University of Edinburgh (GB)
National Science Foundation, U.S. Department of Energy, CERN, De La Salle University, UK Research and Innovation, Ministerul Cercetării, Inovării şi Digitalizării, Institutul National de Cercetare-Dezvoltare pentru Fizica si Inginerie Nucleara 'Horia Hulubei', Leverhulme Trust, University of Warwick, European Commission, University of Bristol, University College Dublin, Deutsche Forschungsgemeinschaft, Agence Nationale de la Recherche, École Polytechnique Fédérale de Lausanne, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, National Natural Science Foundation of China, Vrije Universiteit Amsterdam, National Science Council, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Bundesministerium für Bildung und Forschung, Nederlandse Organisatie voor Wetenschappelijk Onderzoek, Generalitat Valenciana, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Max-Planck-Gesellschaft, Ministerstwo Edukacji i Nauki, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro, National Academy of Sciences of Ukraine, Centre National de la Recherche Scientifique, Financiadora de Estudos e Projetos, Universitat de Barcelona, Universität Zürich, Universitat Ramon Llull, Région Auvergne-Rhône-Alpes, Universidade de Santiago de Compostela, CAS Center for Excellence in Particle Physics, Australian Research Data Commons, Science and Technology Facilities Council, Deutsches Elektronen-Synchrotron, Agencia Estatal de Investigación, Institute of High Energy Physics, Fundamental Research Funds for the Central Universities, Institut National de Physique Nucléaire et de Physique des Particules, Institut de Ciències del Cosmos, Nuclear Physics
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Quantum Chromodynamics and Particle Interactions
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