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The Faddeev equation for three-body scattering at arbitrary energies is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. For identical bosons this results in a…

Nuclear Theory · Physics 2008-11-26 H. Liu , Ch. Elster , W. Gloeckle

In the present work, the interacting potential form between quarks inside a baryon is taken to be proportional to the digamma-function. Using the Jacobi-coordinates the three body wave equation is solved to calculate the different states of…

High Energy Physics - Phenomenology · Physics 2013-11-27 L. I. Abou-Salem

We report our recent work on a hadronic molecule state of the KbarKN system with I=1/2 and J^P=1/2^+. We assume that the Lambda(1405) resonance and the scalar mesons, f_{0}(980), a_{0}(980), are reproduced as quasi-bound states of KbarN and…

Nuclear Theory · Physics 2015-05-13 Daisuke Jido , Yoshiko Kanada-En'yo

We present our recent study on baryon-baryon ($BB$) interactions from lattice QCD with almost physical quark masses corresponding to $(m_\pi,m_K)\approx(146,525)$ MeV and large volume $(La)^4=(96a)^4\approx$ (8.1 fm)$^4$. In order to…

Saturn has a dynamically rich satellite system, which includes at least three orbital resonances between three pairs of moons: Mimas-Tethys 4:2, Enceladus-Dione 2:1, and Titan-Hyperion 4:3 mean-motion resonances. Studies of the orbital…

Earth and Planetary Astrophysics · Physics 2022-03-02 Matija Ćuk , Maryame El Moutamid

The masses of S-wave bottom baryons are calculated in the framework of coupled-channel formalism. The relativistic three-quark equations for the bottom baryons using the dispersion relation technique are found. The approximate solutions of…

High Energy Physics - Phenomenology · Physics 2015-05-13 S. M. Gerasyuta , E. E. Matskevich

This letter presents the first lattice QCD computation of the coupled channel $\pi\Sigma-\bar{K}N$ scattering amplitudes at energies near $1405\,{\rm MeV}$. These amplitudes contain the resonance $\Lambda(1405)$ with strangeness $S=-1$ and…

We study J^P=(3/2)^- baryon resonances as generated by chiral coupled-channel dynamics. Parameter free results are obtained in terms of the Weinberg-Tomozawa term predicting the leading s-wave interaction strength of Goldstone bosons with…

Nuclear Theory · Physics 2009-07-09 E. E. Kolomeitsev , M. F. M. Lutz

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

We show the existence of Borromean bound states in a one-dimensional quantum three-body system composed of two identical bosons and a distinguishable particle. It is assumed that there is no interaction between the two bosons, while the…

Quantum Physics · Physics 2024-05-24 Tobias Schnurrenberger , Lucas Happ , Maxim A. Efremov

Interactions in three coupled channels: pi-pi, K-anti K and sigma-sigma have been investigated in a wide two-pion effective mass region from the pi-pi threshold up to 1600 MeV. Analytical structure of amplitudes in all channels has been…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert Kaminski , Leonard Lesniak , Benoit Loiseau

The complex scaling method permits calculations of few-body resonances with the correct asymptotic behaviour using a simple box boundary condition at a sufficiently large distance. This is also valid for systems involving more than one…

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

Two-component Fermi and Bose gases with infinitely large interspecies s-wave scattering length $a_s$ exhibit a variety of intriguing properties. Among these are the scale invariance of two-component Fermi gases with equal masses, and the…

Quantum Gases · Physics 2015-05-20 D. Blume , K. M. Daily

A study of three-pseudoscalar $\pi K \bar{K}$ and $\pi \pi \eta$ coupled system is made by solving the Faddeev equations within an approach based on unitary chiral dynamics. A resonance with total isospin one and spin-parity $J^\pi = 0^-$…

Nuclear Theory · Physics 2015-05-28 A. Martínez Torres , K. P. Khemchandani , D. Jido , A. Hosaka

We study baryons as three-body systems using the QCD degrees of freedom in the framework of covariant Bethe-Salpeter equations. The interaction among quarks is reduced to a vector-vector interaction via a single dressed-gluon exchange…

High Energy Physics - Phenomenology · Physics 2013-04-23 Helios Sanchis-Alepuz , Richard Williams , Reinhard Alkofer

The three-body $\eta K^*\bar{K}^*$, $\pi K^*\bar{K}^*$ and $KK^*\bar{K}^*$ systems are investigated within the framework of fixed-center approximation to the Faddeev equations, where $K^*\bar{K}^*$ is treated as the scalar meson…

High Energy Physics - Phenomenology · Physics 2023-03-08 Qing-Hua Shen , Ju-Jun Xie

A study of 3-body resonances has been performed in the framework of configuration space Faddeev equations. The importance of keeping a sufficient number of terms in the asymptotic expansion of the resonance wave function is pointed out. We…

Nuclear Theory · Physics 2008-11-26 H. Witala , W. Gloeckle

The structure of baryon resonance in coupled-channel meson-baryon scattering is studied from the viewpoint of chiral dynamics. The meson-baryon scattering amplitude can be successfully described together with the properties of the resonance…

High Energy Physics - Phenomenology · Physics 2010-07-23 Tetsuo Hyodo

We investigate the two-body reactions $\bar K N\rightarrow \bar K N$, $\bar K N\rightarrow \pi \Lambda$, and $\bar K N\rightarrow \pi \Sigma$ via single-energy partial-wave analyses in the c.m.\ energy range 1480 to 2100 MeV. The…

High Energy Physics - Phenomenology · Physics 2013-09-18 H. Zhang , J. Tulpan , M. Shrestha , D. M. Manley

The $D \bar{D}^*$ interaction via a $\pi \psi$ intermediate state is studied carefully in the isospin $I=1$ sector. By solving the Bethe-Salpeter equation in the unitary coupled-channel approximation, we obtain the S-wave amplitude as a…

Nuclear Theory · Physics 2017-08-22 Bao-Xi Sun , Da-Ming Wan , Guang-Yi Tang , Fang-Yong Dong
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