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Baryons are treated as three-quark systems using QCD degrees of freedom in Poincare-covariant bound-state equations. The quark self-energy as well as the interaction between quarks are approximated by a vector-vector interaction via a…

High Energy Physics - Phenomenology · Physics 2015-06-23 Reinhard Alkofer , Gernot Eichmann , Helios Sanchis-Alepuz , Richard Williams

For baryons composed by the light quarks ($q=u,d$) we write spectral integral equation using the notion of two diquarks: (i) axial--vector state, $D^{1}_{1}$, with the spin $S_D=1$ and isospin $I_D=1$ and (ii) scalar one, $D^{0}_{0}$, with…

High Energy Physics - Phenomenology · Physics 2011-04-05 A. V. Anisovich , V. V. Anisovich , M. A. Matveev , V. A. Nikonov , A. V. Sarantsev , T. O. Vulfs

Soft Two-body potentials between the constituent quarks of the nucleon are derived using harmonic oscillator, i.e. gaussian, quark wave-functions. The gaussian wave-functions are very suited for applications with the ESC soft-core…

Nuclear Theory · Physics 2025-01-22 Th. A. Rijken

The Salpeter equation, a standard tool in hadron physics, constitutes a well-defined three-dimensional approximation to the Bethe-Salpeter formalism for the description of bound states within quantum field theories. However, if confinement…

High Energy Physics - Phenomenology · Physics 2011-06-15 Wolfgang Lucha

We present first results for two-baryon correlation functions, computed using $N_f=2$ flavours of O($a$) improved Wilson quarks, with the aim of explaining potential dibaryon bound states, specifically the H-dibaryon. In particular, we use…

High Energy Physics - Lattice · Physics 2013-11-18 Anthony Francis , Chuan Miao , Thomas D. Rae , Hartmut Wittig

We briefly describe our relativistic quark-diquark model, developed within the framework of point form dynamics, which is the relativistic extension of the interacting quark-diquark model. In order to do that we have to show the main…

High Energy Physics - Phenomenology · Physics 2015-10-05 M. De Sanctis , J. Ferretti , E. Santopinto , A. Vassallo

We summarise recent results on the spectrum of ground-state and excited baryons and their form factors in the framework of functional methods. As an improvement upon similar approaches we explicitly take into account the underlying…

High Energy Physics - Phenomenology · Physics 2017-03-08 Christian S. Fischer

In this work, we systematically investigate the pentaquark systems with quark contents $qqqq\bar{c}$ with the analyzed total spin and parity quantum numbers of $J^{P}=\frac{1}{2}^{-}$, $J^{P}=\frac{3}{2}^{-}$ and $J^{P}=\frac{5}{2}^{-}$, in…

High Energy Physics - Phenomenology · Physics 2026-02-04 Xuejie Liu , Dianyong Chen , Hongxia Huang , Jialun Ping

We present an alternative parameterization of the quark-diquark model of baryons which particularly takes care of the most recent proton electric form-factor data from the E136 experiment at SLAC. In addition to electromagnetic form factors…

High Energy Physics - Phenomenology · Physics 2009-10-22 R. Jakob , P. Kroll , M. Schuermann , W. Schweiger

Theoretical results are presented for top quarks produced in annihilation of polarized electrons on positrons. Polarization studies for $t\bar t$ pairs near threshold are free from hadronization ambiguities. This is due to the short…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. Harlander , M. Jeżabek , J. H. Kühn , T. Teubner

The excitation spectra of \Lambda_c and \Lambda_b baryons are investigated by using a quark-diquark model in which a single-heavy baryon is treated as the bound state of a heavy quark and a scalar diquark. We take two types of relativistic…

High Energy Physics - Phenomenology · Physics 2023-08-03 S. Kinutani , H. Nagahiro , D. Jido

The mass and wave function of a six-quark system with quantum numbers J^P=0^-, T=0, called d', are calculated. We use a colored diquark-tetraquark cluster model for the six-quark wave function. A constituent quark model Hamiltonian with a…

Nuclear Theory · Physics 2008-11-26 A. J. Buchmann , Georg Wagner , Amand Faessler

We introduce a two-flavor quark-meson-diquark model for two-color QCD and its extensions to include gauge-field dynamics as described by the Polakov loop. Grand potential and phase structure are being studied both in mean-field…

High Energy Physics - Phenomenology · Physics 2013-05-30 Nils Strodthoff , Bernd-Jochen Schaefer , Lorenz von Smekal

The possibility to have diquark configuration in heavy baryons, such as Lambda_c and Lambda_b, is examined by a nonrelativistic potential model with a heavy quark and a light scalar diquark. Assuming that the Lambda_c and Lambda_b baryons…

Nuclear Theory · Physics 2016-08-15 Daisuke Jido , Minori Sakashita

In this work, we employ the Bethe-Salpeter (B-S) equation to investigate the spectra of free diquarks and their B-S wave functions. We find that the B-S approach can be consistently applied to study the diqaurks with two heavy quarks or one…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yan-Ming Yu , Hong-Wei Ke , Yi-Bing Ding , Xin-Heng Guo , Hong-Ying Jin , Xue-Qian Li , Peng-Nian Shen , Guo-Li Wang

A simple confining separable interaction Ansatz for the rainbow-ladder truncated QCD Dyson-Schwinger equations is used to study quark deconfinement and meson states at finite temperature. The model is fixed at T=0 to implement quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Blaschke , Yu. L. Kalinovsky , P. C. Tandy

We present a generating functional producing quark wave functions of all Fock states in the octet, decuplet and antidecuplet baryons in the mean field approximation, both in the rest and infinite momentum frames. In particular, for the…

High Energy Physics - Phenomenology · Physics 2014-11-18 Dmitri Diakonov , Victor Petrov

We present a perturbative calculation of baryon pair production in two-photon collisions, $\gamma \gamma \to B \bar{B}$, in which baryons are treated as quark-diquark systems. Our approach accounts for constituent mass effects in a…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. F. Berger , W. Schweiger

Proton-proton collisions are considered to find favourable conditions for searching for the transition of a baryon pair state to a hexa-quark confinement state $(3q)+(3q)\rightarrow(6q)_\mathrm{cnf}$. It is admitted that central $pp$…

Nuclear Theory · Physics 2018-03-14 V. I. Komarov

In the framework of the nonrelativistic QCD and a quark-diquark model of baryons we have obtained the fragmentation functions for heavy quark to split into spin-1/2 and spin-3/2 double heavy baryons. It was predicted the production rates as…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. P. Martynenko , V. A. Saleev