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Related papers: Elastic $K\pi$ amplitude: a simple model

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This Letter provides a new determination of the ten real coefficients that describe the structure of the $K \to \pi\pi\pi$ amplitudes in the limit where isospin is conserved and complex phases, due to either CP violation or final-state…

High Energy Physics - Phenomenology · Physics 2022-11-28 G. D'Ambrosio , M. Knecht , S. Neshatpour

We use chirally motivated effective meson-baryon potentials to describe the low energy $\bar{K}N$ data including the characteristics of kaonic hydrogen. Our results are examined in comparison with other approaches based on the unitarity and…

High Energy Physics - Phenomenology · Physics 2015-05-20 A. Cieply , J. Smejkal

Motivated by the $1/N_c$ expansion, we study a simple model in which the pi-K scattering amplitude is the sum of a current-algebra contact term and resonance pole exchanges. This phenomenological model is crossing symmetric and, when a…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Black , A. H. Fariborz , F. Sannino , J. Schechter

Properties of scalar--isoscalar mesons in a mass range from pi-pi threshold up to 1800 MeV are analysed using an unitary model with separable interactions in three decay channels: pi-pi, K-anti K and an effective 2pi-2pi. Different…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Kamiński , L. Leśniak , B. Loiseau

We evaluate analytically the elastic $\pi\pi$ scattering amplitude to two loops in chiral perturbation theory and give numerical values for the two $S$--wave scattering lengths and for the phase shift difference $\delta_0^0-\delta_1^1$.

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Bijnens , G. Colangelo , G. Ecker , J. Gasser , M. E. Sainio

It is shown, that fitting parameters of a $\bar{K}N$ interaction model to different sets of experimental data can lead to physical conclusions which might provide a deeper insight into the physics of this multichannel system. The available…

Nuclear Theory · Physics 2020-09-15 János Révai

We revisit the $KN$ scattering amplitude in order to investigate the possibility for the existence of a broad resonance in the $I=0$ $KN$ channel around the energy of 1617 MeV with 305 MeV width. We use the chiral unitary model to describe…

Nuclear Theory · Physics 2019-01-23 Kenji Aoki , Daisuke Jido

The pole structure of the current GW/SAID partial-wave analysis of elastic $\pi N$ scattering and $\eta N$ production data is studied. Pole positions and residues are extracted from both the energy-dependent and single-energy fits, using…

The elastic $I=1/2$, $s$- and $p$-wave kaon-pion scattering amplitudes are calculated using a single ensemble of anisotropic lattice QCD gauge field configurations with $N_{\mathrm{f}} = 2+1$ flavors of dynamical Wilson-clover fermions at…

High Energy Physics - Lattice · Physics 2018-06-11 Ruairí Brett , John Bulava , Jacob Fallica , Andrew Hanlon , Ben Hörz , Colin Morningstar

We analyse the pp elastic scattering amplitudes using the recent LHC data, revisiting the model proposed by A. Martin based on analytic continuation and crossing symmetry. Introducing a new form for the scaling function we show that the…

High Energy Physics - Phenomenology · Physics 2017-10-20 A. K. Kohara

The Chiral Confining Lagrangian, based on the chiral theory with quark degrees of freedom, is used to study the spectroscopy of scalar mesons. The formalism does not contain arbitrary fitting parameters and takes into account infinite…

High Energy Physics - Phenomenology · Physics 2020-06-24 M. S. Lukashov , Yu. A. Simonov

We discuss the Pad\'e approximation to the $\pi\pi$ scattering amplitudes in 1--loop chiral perturbation theory. The approximation restores unitarity and can reproduce the correct resonance poles, but the approximation violates crossing…

High Energy Physics - Phenomenology · Physics 2018-01-17 Qin Ang , Zhiguang Xiao , H. Zheng , X. C. Song

We use chiral perturbation theory to evaluate the scattering amplitude for the process Pi^+ K^- to Pi^+ K^- at leading and next-to-leading orders in the chiral counting and in the presence of isospin breaking effects. We also discuss the…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. Nehme

We properly define off-shell $K\to\pi$ transition amplitudes and use them to extract information for on-shell $K\to\pi\pi$ amplitudes within Chiral Perturbation Theory. At order $p^2$ in the chiral expansion all three parameters of weak…

High Energy Physics - Phenomenology · Physics 2009-10-31 Johan Bijnens , Elisabetta Pallante , Joaquim Prades

I calculate the leading logarithmic contributions up to two-loop order of the octet part of the K -> pi pi amplitude. This sector of the weak chiral Lagrangian is believed to be the main source of the enhancement of the I=0 relative to the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Matthias Buchler

We explore the possibility for an evaluation of non-leptonic $\Delta S=1$ $K$ decay amplitudes through the calculation of $K\to\pi$ matrix elements using domain-wall QCD. The relation between the physical $K\to\pi\pi$ matrix elements and…

The NA48/2 collaboration has shown clear experimental evidence for a cusp in the data for K -> pi pi^0 pi^0. This effect can be used to extract information on the pi-pi scattering lengths. We address this issue using a two-loop dispersive…

High Energy Physics - Phenomenology · Physics 2012-01-23 Karol Kampf , Marc Knecht , Jiri Novotny , Martin Zdrahal

We perform an analysis of Lattice QCD data in the open-charm sector based on the chiral SU(3) Lagrangian. The low-energy constants are adjusted to recover the open-charm meson masses on Lattice QCD ensembles from HPQCD, ETMC and HSC with…

High Energy Physics - Phenomenology · Physics 2023-01-11 Matthias F. M. Lutz , Xiao-Yu Guo , Yonggoo Heo , C. L. Korpa

An energy-dependent and a set of single-energy partial-wave analyses of $\pi$d elastic scattering data have been completed. Amplitudes are presented for pion laboratory kinetic energies up to 500~MeV. These results are compared with those…

Nuclear Theory · Physics 2009-09-25 Richard A. Arndt Igor I. Strakovsky , Ron Workman

We express the leading electromagnetic corrections in K-> pi pi amplitudes as integrals over the virtual photon squared-momentum Q^2. The high Q^2 behavior is obtained via the operator product expansion. The low Q^2 behavior is calculated…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Cirigliano , J. F. Donoghue , E. Golowich