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We present a preliminary report on a calculation of scattering length for I=2 $S$-wave two-pion system directly from the two-pion wave function. Results are compared with those calculated from the time dependence of two-pion four-point…

High Energy Physics - Lattice · Physics 2009-11-10 N. Ishizuka , T. Yamazaki

We present a determination of the mass, width and coupling of the strange resonances appearing in pion-kaon scattering below 1.8 GeV, namely the much debated $K^*_0(800)$ or $\kappa$, the scalar $K^*_0(1430)$, the $K^*(892)$ and $K^*(1410)$…

High Energy Physics - Phenomenology · Physics 2017-11-28 A. Rodas , J. R. Pelaez , J. Ruiz de Elvira

This paper is focused on two issues: the K\pi spectrum near threshold - the kappa problem -, and the pi\pi spectrum between 1.2 and 1.5 GeV/(c^2) -- the f_0(1370) problem. Both problems will be analysed from the perspective of the $D$ meson…

High Energy Physics - Experiment · Physics 2009-09-16 Alberto Reis

The underlying mixing of quark components of scalar mesons is probed in $\pi K$ scattering within a generalized linear sigma model that contains two scalar meson nonets and two pseudoscalar meson nonets (a quark-antiquark and a four-quark).…

High Energy Physics - Phenomenology · Physics 2016-01-20 Amir H. Fariborz , Esmaiel Pourjafarabadi , Soodeh Zarepour , S. Mohammad Zebarjad

The masses and widths of the broad scalar D_0^*(2400) and the axial D_1(2430) charmed-light resonances are extracted by simulating the corresponding D Pi and D* Pi scattering on the lattice. The resonance parameters are obtained using a…

High Energy Physics - Lattice · Physics 2024-04-24 Daniel Mohler , Sasa Prelovsek , R. M. Woloshyn

In this talk I summarize recently proposed mechanisms to understand pi pi scattering to 1 GeV in an effective chiral Lagrangian. The Lagrangian includes higher resonances in addition to pions consistently with the chiral symmetry. Iso-spin…

High Energy Physics - Phenomenology · Physics 2007-05-23 Masayasu Harada

The isospin-2 pi pi system provides a useful testing ground for determining elastic hadron scattering parameters from finite-volume spectra obtained using lattice QCD computations. A reliable determination of the excited state spectrum of…

High Energy Physics - Phenomenology · Physics 2012-09-20 Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

We derive dispersion relations for $K\to\pi\pi$ decay, using the Lehmann-Symanzik-Zimmermann formalism, which allows the analytic continuation of the amplitudes with respect to the momenta of the external particles. No off-shell…

High Energy Physics - Phenomenology · Physics 2011-09-13 C. Bourrely , I. Caprini , L. Micu

A recent analysis of data on the two photon production of the $\eta_c$ and its decay to $K(K\pi)$ has determined the $K\pi$ $S$-wave amplitude in a "model-independent" way assuming primarily that the additional kaon is a spectator in this…

High Energy Physics - Phenomenology · Physics 2017-11-22 A. Palano , M. R. Pennington

The Vector Pion form factor below 1 GeV is analyzed using experimental data on its modulus, the P-wave pion pion phase shifts and dispersion relation. It is found that causality is satisfied. Using dispersion relation, terms proportional to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tran N. Truong

We present a report on a calculation of scattering length for I=2 $S$-wave two-pion system from two-pion wave function. Calculations are made with an RG-improved action for gluons and improved Wilson action for quarks at $a^{-1}=1.207(12)…

We evaluate scattering amplitudes at on-shell and half off-shell for $I=2$ S-wave two-pion system using the Bethe-Salpeter wave function inside the interaction range in the quenched QCD. The scattering length and effective range are…

High Energy Physics - Lattice · Physics 2019-07-03 Yusuke Namekawa , Takeshi Yamazaki

We study I=0 $d$ wave $\pi\pi$ scattering phase shift using a proper unitarization approach. It is verified that the $f_2(1270)$ resonance corresponds to a twin pole structure: one on the second sheet, another one on the third sheet. Also…

High Energy Physics - Phenomenology · Physics 2010-02-03 Jian-jun Wang , Z. Y. Zhou , H. Q. Zheng

We study the properties of the Resonance-Spectrum Expansion near threshold in I=0 S-wave pion-pion scattering. The real part of the amplitude, when extrapolated from above threshold to below threshold, is found to vanish at a positive…

High Energy Physics - Phenomenology · Physics 2007-05-23 Eef van Beveren , George Rupp

We study CP violation and the contribution of the strong kaon-pion interactions in the three body B --> K pi+ pi- decays. We extend our recent work on the effect of the two-pion S- and P-wave interactions to that of the corresponding…

High Energy Physics - Phenomenology · Physics 2011-03-23 B. El-Bennich , A. Furman , R. Kaminski , L. Lesniak , B. Loiseau , B. Moussallam

The s-wave correlated $\pi$-$\pi$ strength distribution in cold nuclear matter is investigated. The in-medium single pions are renormalized by means of the usual p-wave couplings to nucleons and $\Delta$'s. Two groups of models for the…

Nuclear Theory · Physics 2011-07-19 Z. Aouissat , R. Rapp , G. Chanfray , P. Schuck , J. Wambach

Interactions in coupled channels pipi, KKbar and an effective 2pi2pi in scalar-isoscalar wave have been analysed. Influence of interchannel couplings on analytical structure of multichannel interaction amplitudes has been studied. Interplay…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Kaminski , L. Lesniak , B. Loiseau

As the pion mass approaches a critical value $m_\pi^\star$ from below, an $S$-wave resonance crosses pion-baryon threshold and becomes a bound state with arbitrarily small binding energy, thus driving the scattering length to diverge. I…

High Energy Physics - Phenomenology · Physics 2016-07-27 Bingwei Long

We analyse the pp and p\=p elastic scattering amplitudes using the data of several CERN and FERMILAB experiments, revisiting ideas proposed by Andr\'e Martin based on analytic continuation and crossing symmetry. Introducing a new form for…

High Energy Physics - Phenomenology · Physics 2019-10-25 Anderson Kendi Kohara

We study CP violation and the contribution of the strong pion-pion interactions in the three-body B+- --> pi+- pi-+ pi+- decays within a quasi two-body QCD factorization approach. The short distance interaction amplitude is calculated in…

High Energy Physics - Phenomenology · Physics 2011-09-16 J. -P. Dedonder , A. Furman , R. Kaminski , L. Lesniak , B. Loiseau