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Related papers: The Lambda 1405 at the $SU(3)$ point in lattice QC…

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We discuss several aspects of the Lambda(1405) resonance in relation to the recent theoretical developments in chiral dynamics. We derive an effective single-channel KbarK N interaction based on chiral SU(3) coupled-channel approach,…

High Energy Physics - Phenomenology · Physics 2008-11-07 Tetsuo Hyodo , Wolfram Weise , Daisuke Jido , Luis Roca , Atsushi Hosaka

We study the unitarized meson-baryon scattering amplitude at leading order in the strangeness $S=-1$ sector using time-ordered perturbation theory for a manifestly Lorentz-invariant formulation of chiral effective field theory. By solving…

High Energy Physics - Phenomenology · Physics 2021-07-21 X. -L. Ren , E. Epelbaum , J. Gegelia , Ulf-G. Meißner

We present the light-quark mass dependence of the $\Lambda(1405)$ resonance at leading order in a renormalizable framework of covariant chiral effective field theory. The meson-baryon scattering amplitudes, which are obtained by solving the…

High Energy Physics - Phenomenology · Physics 2024-06-11 Xiu-Lei Ren

We examine the role of the $\Lambda(1405)$ in kaon-nucleon scattering lengths using chiral perturbation theory. The leading nonanalytic SU(3) corrections reduce the coupling of the $\Lambda (1405)$ to $KN$ compared to $\Sigma\pi$. S-wave…

High Energy Physics - Phenomenology · Physics 2011-07-19 Martin J. Savage

Using a chiral unitary approach for the meson--baryon interactions, we show that two octets of J^{\pi}=1/2^- baryon states, which are degenerate in the limit of exact SU(3) symmetry, and a singlet are generated dynamically. The SU(3)…

Nuclear Theory · Physics 2009-11-10 D. Jido , J. A. Oller , E. Oset , A. Ramos , U. -G. Meißner

A Kbar N-pi Sigma-pi Lambda coupled-channel potential is constructed on the basis of chiral SU(3) dynamics. Several matching conditions are introduced to formulate an equivalent local potential that reproduces the coupled-channel scattering…

Nuclear Theory · Physics 2018-08-20 Kenta Miyahara , Tetsuo Hyodo , Wolfram Weise

The properties of the Lambda(1405) resonance are key ingredients for determining the antikaon-nucleon interaction in strangeness nuclear physics, and the novel internal structure of the Lambda(1405) is of great interest in hadron physics,…

High Energy Physics - Phenomenology · Physics 2016-08-24 Yuki Kamiya , Kenta Miyahara , Shota Ohnishi , Yoichi Ikeda , Tetsuo Hyodo , Eulogio Oset , Wolfram Weise

We examine the radiative decays of the Lambda (1405) to octet baryons, Lambda + gamma and Sigma + gamma. In the limit of SU(3) symmetry the decay rates for these two modes are related, and we compute the leading correction to the relation…

Nuclear Theory · Physics 2007-05-23 Michael W. Moore , Martin J. Savage

The two-pole structure refers to the fact that particular single states in the spectrum as listed in the PDG tables are often two states. The story began with the $\Lambda(1405)$, when in 2001, using unitarized chiral perturbation theory,…

High Energy Physics - Phenomenology · Physics 2020-06-11 Ulf-G. Meißner

We present an analysis of the baryon-octet and -decuplet masses using covariant SU(3)-flavor chiral perturbation theory up to next-to-leading order. Besides the description of the physical masses we address the problem of the lattice QCD…

High Energy Physics - Lattice · Physics 2010-11-22 J. Martin-Camalich , L. S. Geng , M. J. Vicente Vacas

We present the recent progress in the study on the origin of baryon resonances in chiral dynamics. It is shown that in the chiral coupled-channel approach, the form of the interaction cannot be specified due to the cutoff of the loop…

Nuclear Theory · Physics 2014-11-20 Tetsuo Hyodo , Daisuke Jido , Atsushi Hosaka

We aim to construct quark hadron physics based on QCD. First, using lattice QCD, we study mass spectra of positive-parity and negative-parity baryons in the octet, the decuplet and the singlet representations of the SU(3) flavor. In…

High Energy Physics - Phenomenology · Physics 2009-11-10 H. Suganuma , N. Ishii , H. Matsufuru , Y. Nemoto , T. T. Takahashi

In order to describe Lambda(1405) as a resonance in the baryon-meson scattering, we have investigated q^3-q qbar scattering system with the flavor-singlet q^3 (0s)^2(0p) state (the Lambda^1 pole). The scattering is treated by the quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sachiko Takeuchi , Kiyotaka Shimizu

We consider three-flavor QCD and perform a determination of the low-energy coupling $\hat{g}_\chi$ of SU(2) Heavy Meson Chiral Perturbation Theory. It is the $B^*B\pi$ coupling in the limit of static heavy and chiral light quarks and has…

High Energy Physics - Lattice · Physics 2021-11-09 Antoine Gérardin , Jochen Heitger , Simon Kuberski , Hubert Simma , Rainer Sommer

For almost 50 years the structure of the Lambda 1405 resonance has been a mystery. Recently, a new lattice QCD simulation showing that its strange magnetic form factor vanishes, together with a comprehensive Hamiltonian analysis of the…

A lattice QCD computation of the coupled channel $\pi\Sigma-\bar{K}N$ scattering amplitudes in the $\Lambda(1405)$ region is detailed. Results are obtained using a single ensemble of gauge field configurations with $N_{\rm f} = 2+1$…

We review briefly recent studies of the Lambda(1405) spectrum in Lattice QCD. Ordinary three-quark pictures of the Lambda(1405) in quenched Lattice QCD fail to reproduce the mass of the experimental value, which seems to support the…

High Energy Physics - Lattice · Physics 2007-05-23 Y. Nemoto , N. Nakajima , H. Matsufuru , H. Suganuma

This work discusses reliability, possible obstacles and the future perspective of chiral extrapolation of lattice results. In the first part, chiral perturbation theory fits to lattice calculations of the nucleon mass are thoroughly…

High Energy Physics - Lattice · Physics 2007-05-23 Bernhard U. Musch

Within the collective coordinate approach to chiral soliton models we suggest that breaking of SU(3) flavor symmetry mainly resides in the baryon wave-functions while the charge operators maintain a symmetric structure. Sizable symmetry…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Weigel

Low-lying $\Lambda$ baryons with spin 1/2 are analyzed in two-flavor lattice QCD. In order to extract two low-lying states for each parity, we construct $2 \times 2$ cross correlators from flavor SU(3) ``octet'' and ``singlet'' baryon…

High Energy Physics - Lattice · Physics 2011-03-10 Toru T. Takahashi , Makoto Oka