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By considering baryons as clusters of three quarks, we extend the Nambu-Jona-Lasinio (NJL) model to describe baryonic matter, quark matter, and their transitions in a unified manner, where the Dirac sea and spontaneous chiral symmetry…

Nuclear Theory · Physics 2024-09-20 Cheng-Jun Xia

A family of simply solvable covariant quark models for the baryons is presented. With optimal parameter choices the models reproduce the empirical spectra of the baryons in all flavor sectors to an accuracy of a few percent. Complete…

High Energy Physics - Phenomenology · Physics 2011-01-27 F. Coester , K. Dannbom , D. O. Riska

We compute masses of twenty positive parity first radial excitations of spin-$1/2$ and $3/2$ baryons composed of u,d,s,c and b quarks in a quark-diquark picture within a contact interaction model. These excitations comprise of two elements:…

High Energy Physics - Phenomenology · Physics 2024-09-11 L. X. Gutiérrez-Guerrero , Alfredo Raya , L. Albino , R. J. Hernández-Pinto

The excitation energy spectra of heavy baryons consisting of a heavy quark and two light quarks are investigated by using diquark models in order to examine the nature of the diquark as a constituent of single heavy baryons. We consider two…

High Energy Physics - Phenomenology · Physics 2022-05-25 Kento Kumakawa , Daisuke Jido

A potential model for the interaction between a charmed baryon ($\Lambda_c$, $\Sigma_c$, and $\Sigma_c^*$) and the nucleon ($N$) is constructed. The model contains a long-range meson ($\pi$ and $\sigma$) exchange part and a short-distance…

Nuclear Theory · Physics 2016-02-25 Saori Maeda , Makoto Oka , Akira Yokota , Emiko Hiyama , Yan-Rui Liu

The diquark structure in baryons is commonly accepted as a reasonable approximation which can much simplify the picture and reduce the length of calculations. However, a diquark by no means is a point-like particle, even though it is…

High Energy Physics - Phenomenology · Physics 2014-11-18 Yan-Ming Yu , Hong-Wei Ke , Yi-Bing Ding , Xin-Heng Guo , Hong-Ying Jin , Xue-Qian Li , Peng-Nian Shen , Guo-Li Wang

The approximate radial wave functions for the Cornell potential describing quark-antiquark interaction are constructed in the framework of a variational method. The optimal values of the variational parameters are fixed by the fulfillment…

Mathematical Physics · Physics 2009-11-24 V. V. Kudryashov , V. I. Reshetnyak

We calculate the Equation of State of a quark system interacting through a phenomenological potential: the Richardson's potential, at finite baryon density and zero temperature. In particular we study three different cases with different…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Terranova , A. Bonasera

Supposing quark--diquark structure of baryons, we look for systematics of baryons composed of light quarks ($q=u,d$). We systematize baryons using the notion of two diquarks: (i) axial--vector state, $D^{1}_{1}$, with the spin $S_D=1$ and…

High Energy Physics - Phenomenology · Physics 2014-11-20 A. V. Anisovich , V. V. Anisovich , M. A. Matveev , V. A. Nikonov , A. V. Sarantsev , T. O. Vulfs

We compute the Coulomb interaction energy of dense sets of static quarks in a compact volume (much smaller than the lattice volume) containing one quark per lattice site. The quark color charges are combined into either a set of three-quark…

High Energy Physics - Lattice · Physics 2019-08-14 Jeff Greensite , Evan Owen

Using the Hypercentral Constituent Quark Model (hCQM), the mass spectra of doubly heavy baryons $\Xi_{cb}$ and $\Xi_{bb}$ are determined. The model describes an interaction inside the baryonic system. Screened potential has been considered…

High Energy Physics - Phenomenology · Physics 2023-04-07 Amee Kakadiya , Chandni Menapara , Ajay Kumar Rai

To describe pion as a bound state of two quark, when their current masses are non equal to zero, is considered. In the framefowrk of the potential approximate the Schwinger-Dyson and Bethe-Salpeter equations are solved. The quark-antiquark…

High Energy Physics - Phenomenology · Physics 2007-05-23 Obid Juraev , Tulkun Nasyrov

We derive covariant baryon wave functions for arbitrary Lorentz boosts. Modeling baryons as quark-diquark systems, we reduce their manifestly covariant Bethe-Salpeter equation to a covariant 3-dimensional form by projecting on the relative…

Nuclear Theory · Physics 2007-05-23 M. Dillig

The ground and P-wave excited states of nnn, nns and ssn baryons are studied in the framework of the Field Correlator Method using the running strong coupling constant in the Coulomb-like part of the three-quark potential. The running…

High Energy Physics - Phenomenology · Physics 2009-11-06 R. Ya. Kezerashvili , I. M. Narodetskii , A. I. Veselov

The mass spectra and wave functions for the doubly heavy baryons are computed under the picture that the two heavy quarks inside a doubly heavy baryon, such as two $c$-quarks in $\Xi_{cc}$, combine into a heavy `diquark core' in color…

High Energy Physics - Phenomenology · Physics 2019-12-23 Qiang Li , Chao-Hsi Chang , Si-Xue Qin , Guo-Li Wang

QCD instantons are known to produce deeply bound diquarks. We study whether it may be used as building blocks in the formation of multiquark states, in particular pentaquarks and dibaryons. A simple model is presented in which the lowest…

High Energy Physics - Phenomenology · Physics 2016-09-06 E. V. Shuryak

The magnetic moments of ground state single, double and triple heavy baryons containing charm or bottom quarks are calculated in a relativistic three-quark model, which, in the heavy quark limit, is consistent with Heavy Quark Effective…

High Energy Physics - Phenomenology · Physics 2008-11-26 Amand Faessler , Th. Gutsche , M. A. Ivanov , J. G. Korner , V. E. Lyubovitskij , D. Nicmorus , K. Pumsa-ard

The electromagnetic and gravitational form factors of decuplet baryons are systematically studied with a covariant quark-diquark approach. The model parameters are firstly discussed and determined through comparison with the lattice…

High Energy Physics - Phenomenology · Physics 2023-11-15 JiaQi Wang , Dongyan Fu , Yubing Dong

Here we study the quark orbital angular momentum of the ground octet baryons employing an extended chiral constituent quark model, within which the baryon wave functions are taken to be superposition of the traditional $qqq$ and the…

High Energy Physics - Phenomenology · Physics 2023-03-01 Jing-Feng Li , Cheng Chen , Gang Li , Chun-Sheng An , Cheng-Rong Deng , Ju-Jun Xie

In this paper, we presented the mass spectra of the doubly heavy $\Omega$ baryons containing one light (strange) quark and two heavy (charm and bottom) quarks. Our predicted masses can be consider to determine the $J^p$ value for the…

High Energy Physics - Phenomenology · Physics 2023-04-19 Amee Kakadiya , Ajay Kumar Rai