Amplitude analysis of the <i>D</i><SUP>+</SUP><i>→</i> π<SUP>-</SUP>π<SUP>+</SUP>π<SUP>+</SUP> decay and measurement of the π<SUP>-</SUP>π<SUP>+</SUP> S-wave amplitude



Aaij, R, Abdelmotteleb, ASW, Beteta, C Abellan, Abudinen, F, Ackernley, T, Adeva, B, Adinolfi, M, Afsharnia, H, Agapopoulou, C, Aidala, CA
et al (show 1057 more authors) (2023) Amplitude analysis of the <i>D</i><SUP>+</SUP><i>→</i> π<SUP>-</SUP>π<SUP>+</SUP>π<SUP>+</SUP> decay and measurement of the π<SUP>-</SUP>π<SUP>+</SUP> S-wave amplitude. JOURNAL OF HIGH ENERGY PHYSICS, 2023 (6). 44-.

[img] PDF
JHEP06(2023)044.pdf - Open Access published version

Download (5MB) | Preview

Abstract

<jats:title>A<jats:sc>bstract</jats:sc> </jats:title><jats:p>An amplitude analysis of the <jats:italic>D</jats:italic><jats:sup>+</jats:sup><jats:italic>→ π</jats:italic><jats:sup><jats:italic>−</jats:italic></jats:sup><jats:italic>π</jats:italic><jats:sup>+</jats:sup><jats:italic>π</jats:italic><jats:sup>+</jats:sup> decay is performed with a sample corresponding to 1.5 fb<jats:sup><jats:italic>−</jats:italic>1</jats:sup> of integrated luminosity of <jats:italic>pp</jats:italic> collisions at a centre-of-mass energy <jats:inline-formula><jats:alternatives><jats:tex-math>$$ \sqrt{s} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mi>s</mml:mi> </mml:msqrt> </mml:math></jats:alternatives></jats:inline-formula> = 8 TeV collected by the LHCb detector in 2012. The sample contains approximately six hundred thousand candidates with a signal purity of 95%. The resonant structure is studied through a fit to the Dalitz plot where the <jats:italic>π</jats:italic><jats:sup><jats:italic>−</jats:italic></jats:sup><jats:italic>π</jats:italic><jats:sup>+</jats:sup> S-wave amplitude is extracted as a function of <jats:italic>π</jats:italic><jats:sup><jats:italic>−</jats:italic></jats:sup><jats:italic>π</jats:italic><jats:sup>+</jats:sup> mass, and spin-1 and spin-2 resonances are included coherently through an isobar model. The S-wave component is found to be dominant, followed by the <jats:italic>ρ</jats:italic>(770)<jats:sup>0</jats:sup><jats:italic>π</jats:italic><jats:sup>+</jats:sup> and <jats:italic>f</jats:italic><jats:sub>2</jats:sub>(1270)<jats:italic>π</jats:italic><jats:sup>+</jats:sup> components. A small contribution from the <jats:italic>ω</jats:italic>(782) <jats:italic>→ π</jats:italic><jats:sup><jats:italic>−</jats:italic></jats:sup><jats:italic>π</jats:italic><jats:sup>+</jats:sup> decay is seen for the first time in the <jats:italic>D</jats:italic><jats:sup>+</jats:sup><jats:italic>→ π</jats:italic><jats:sup><jats:italic>−</jats:italic></jats:sup><jats:italic>π</jats:italic><jats:sup>+</jats:sup><jats:italic>π</jats:italic><jats:sup>+</jats:sup> decay.</jats:p>

Item Type: Article
Uncontrolled Keywords: Charm Physics, Hadron-Hadron Scattering, Particle and Resonance Production
Divisions: Faculty of Science and Engineering > School of Physical Sciences
Depositing User: Symplectic Admin
Date Deposited: 10 Jul 2023 14:55
Last Modified: 15 Mar 2024 01:47
DOI: 10.1007/JHEP06(2023)044
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3171591