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Related papers: Dalitz-plot decomposition for three-body decays

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We present a model for the decay $D^+\to K^-\pi^+\pi^+$. The weak interaction part of this reaction is described using the effective weak Hamiltonian in the factorisation approach. Hadronic final state interactions are taken into account…

High Energy Physics - Phenomenology · Physics 2014-11-20 D. R. Boito , R. Escribano

We present preliminary results on the measurement of the I=1/2 $K \pi$ $\mathcal{S}$-wave through a model independent partial wave analysis of $\eta_c$ decays to $K^0_S K^+ \pi^-$ and $K^+ K^- \pi^0$ produced in two-photon interactions. We…

High Energy Physics - Experiment · Physics 2016-06-22 Antimo Palano

The complex scaled hyperspherical adiabatic expansion method is used to compute momentum and energy distributions of the three $\alpha$-particles emerging from the decay of low-lying $^{12}$C-resonances. The large distance continuum…

Nuclear Theory · Physics 2008-11-26 R. Alvarez-Rodriguez , A. S. Jensen , E. Garrido , D. V. Fedorov , H. O. U. Fynbo

A quasi two-body QCD factorization is used to study the D0 --> K0S pi+ pi decays. The presently available high-statistics Dalitz plot data of this process measured by the Belle and BABAR Collaborations are analyzed together with the tau-…

High Energy Physics - Phenomenology · Physics 2015-06-23 Leonard Lesniak , Jean-Pierre Dedonder , Robert Kaminski , Benoit Loiseau

We propose a novel approach for extracting symmetry breaking effects from symmetry conserving three-body decays. The method is based on mapping the Dalitz plot to a unit disk, and the difference of the disk distributions of two related…

High Energy Physics - Phenomenology · Physics 2026-05-26 Adolfo Guevara , Feng-Kun Guo , Hao-Jie Jing

The complex-rotated hyperspherical adiabatic method is used to study the decay of low-lying $^9$Be and $^9$B resonances into $\alpha$, $\alpha$ and $n$ or $p$. We consider six low-lying resonances of $^9$Be ($1/2^\pm$, $3/2^\pm$ and…

Nuclear Theory · Physics 2011-05-25 R. Alvarez-Rodriguez , A. S. Jensen , D. V. Fedorov , E. Garrido

Parametrization of cascading hadronic reactions is a central tool in hadron spectroscopy for modeling matrix elements and extracting parameters of hadronic states. Implementing the helicity formalism consistently presents challenges,…

High Energy Physics - Phenomenology · Physics 2025-06-12 Kai Habermann , Mikhail Mikhasenko

The computed $\alpha$ particle momentum distributions from the decay of low-lying $^{12}$C resonances are shown. The wave function of the decaying fragments is computed by means of the complex scaled hyperspherical adiabatic expansion…

Nuclear Theory · Physics 2009-11-13 R. Alvarez-Rodriguez , A. S. Jensen , D. V. Fedorov , H. O. U. Fynbo , E. Garrido

The Dalitz plot analysis technique has become an increasingly important method in heavy flavour physics. The Laura++ fitter has been developed as a flexible tool that can be used for Dalitz plot analyses in different experimental…

Within the hyperspherical harmonics approach the three-body problem is reduced to a motion of one effective particle in a "strongly deformed" field, which is described in coupled-channel formalism. This method is especially suited to…

Nuclear Theory · Physics 2019-07-26 O. M. Sukhareva , L. V. Grigorenko , D. A. Kostyleva , M. V. Zhukov

We construct hadronic amplitudes for the three-body decays $\eta^{(\prime)}\to\pi^+\pi^-\pi^0$ and $\eta'\to\eta\pi^+\pi^-$ in a non-perturbative fashion, allowing for $C$- and $CP$-violating asymmetries in the $\pi^+\pi^-$ distributions.…

High Energy Physics - Phenomenology · Physics 2023-01-30 Hakan Akdag , Tobias Isken , Bastian Kubis

The particle exchange model of hadron interactions can be used to describe three-body scattering under the isobar assumption. In this study we start from the 3->3 scattering amplitude for spinless particles, which contains an…

Nuclear Theory · Physics 2017-09-12 M. Mai , B. Hu , M. Doring , A. Pilloni , A. Szczepaniak

Recent BESIII data on radiative $J/\psi$ decays from $\sim 10^{10}$ $J/\psi$ samples should significantly advance our understanding of the controversial nature of $\eta(1405/1475)$. This motivates us to develop a three-body unitary…

High Energy Physics - Phenomenology · Physics 2024-01-23 S. X. Nakamura , Q. Huang , J. -J. Wu , H. P. Peng , Y. Zhang , Y. C. Zhu

We have worked out covariant amplitudes for any two-body decay of a resonance with an arbitrary non-zero mass, which involves arbitrary integer spins in the initial and the final states. One key new ingredient for this work is the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Suh-Urk Chung , Jan Friedrich

The structure of the second 2$^+$ resonance in $^{6}$Li is investigated with special emphasis on its isospin 0 components. The wave functions are computed in a three-body model ($\alpha$+$n$+$p$) using the hyperspherical adiabatic expansion…

Nuclear Theory · Physics 2008-11-26 E. Garrido , D. V. Fedorov , H. O. U. Fynbo , A. S. Jensen

We calculate the radiative corrections to the angular correlation between the polarization of the decaying and the direction of the emitted spin one-half baryons in the semileptonic decay mode. The final results are presented, first, with…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. J. Torres , Ruben Flores-Mendieta , M. Neri , A. Martinez , A. Garcia

The three-body threshold effect, the distinctive and intriguing non-perturbative dynamics in the low-energy hadron-hadron scattering, has acquired compelling significance in the wake of the recent observation of the double-charm tetraquark…

High Energy Physics - Phenomenology · Physics 2023-09-19 Jun-Zhang Wang , Zi-Yang Lin , Shi-Lin Zhu

We derive an explicit expression for the Lellouch-L\"uscher (LL) factor in the $K\to 3\pi$ decays at leading order (without derivative couplings). Several important technical details are addressed, like a proper decomposition into the…

High Energy Physics - Lattice · Physics 2024-04-29 Jin-Yi Pang , Rishabh Bubna , Fabian Müller , Akaki Rusetsky , Jia-Jun Wu

Dalitz decay of baryon resonances is studied and expressions for the decay width are derived for resonances with arbitrary spin and parity. Contributions of the various terms in the transition matrix element are compared and relevance of…

Nuclear Theory · Physics 2009-11-07 M. Zetenyi , Gy. Wolf

Two types of pseudoscalar quarkonium electromagnetic decay processes, i.e. decay to a lepton pair, and to a lepton pair plus a photon (Dalitz decay), are analyzed at the leading order in NRQCD expansion. The former type of processes, highly…

High Energy Physics - Phenomenology · Physics 2009-11-09 Yu Jia , Wen-Long Sang