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An $SU(3)$ flavor projection operator technique is implemented to construct the baryon-meson scattering amplitude in the framework of the $1/N_c$ expansion of QCD, where $N_c$ is the number of color charges. The operator technique is…

High Energy Physics - Phenomenology · Physics 2025-09-10 Victor Miguel Banda Guzmán , Ruben Flores-Mendieta , Johann Hernandez

We match the non-relativistic quark model, with both flavor dependent and flavor independent effective quark-quark interactions, to the spin-flavor operator basis of the 1/Nc expansion for the L=1 non-strange baryons. We obtain analytic…

Nuclear Theory · Physics 2016-02-10 Cintia Willemyns , Carlos Schat

A general method is presented for computing matrix elements of quark operators on baryonic states with low strangeness and arbitrary number of colors Nc. These results are useful in applications of the large Nc expansion to baryons and…

High Energy Physics - Phenomenology · Physics 2009-11-11 Dan Pirjol , Carlos Schat

We review a recently proposed approach to study the lowest negative parity baryons within the $1/N_c$ expansion. The method is based on the derivation of the matrix elements of SU(2N$_f$) generators for mixed symmetric $[N_c-1,1]$…

High Energy Physics - Phenomenology · Physics 2010-11-15 N. Matagne , Fl. Stancu

The generalization of QCD to many colors is not unique; each distinct choice corresponds to a distinct 1/N_c expansion. The familiar 't Hooft N_c -> \infty limit places quarks in the fundamental representation of SU(N_c), while an…

High Energy Physics - Phenomenology · Physics 2009-09-02 Aleksey Cherman , Thomas D. Cohen , Richard F. Lebed

Several aspects of hadron physics are well described by a simple 5D effective field theory. Baryons arise in this scenario as "large" (and therefore calculable) 5D skyrmions. We extend and refine the existing analysis of this 5D soliton,…

High Energy Physics - Phenomenology · Physics 2010-04-15 Giuliano Panico , Andrea Wulzer

The magnetic and transition magnetic moments of the ground-state baryons are computed in heavy baryon chiral perturbation theory in the large-$N_c$ limit, where N_c is the number of colors. SU(3) symmetry breaking is systematically studied…

High Energy Physics - Phenomenology · Physics 2015-03-17 Giovanna Ahuatzin , Ruben Flores-Mendieta , Maria A. Hernandez-Ruiz , Christoph P. Hofmann

We calculate the charge quadrupole and magnetic octupole moments of baryons using a group theoretical approach based on broken SU(6) spin-flavor symmetry. The latter is an approximate symmetry of the QCD Lagrangian which becomes exact in…

High Energy Physics - Phenomenology · Physics 2019-02-28 Alfons J. Buchmann

We study $4$-dimensional SQCD with gauge group $SU(N_c)$ and $N_f$ flavors of chiral super-multiplets on the lattice. We perform extensive calculations of matrix elements and renormalization factors of composite operators in Perturbation…

High Energy Physics - Lattice · Physics 2019-05-08 M. Costa , H. Panagopoulos

This talk reviews recent developments in the use of large $N_c$ QCD in the description of baryonic resonances. The emphasis is on the model-independent nature of the approach. Key issues discussed include the spin-flavor symmetry which…

High Energy Physics - Phenomenology · Physics 2015-06-25 Thomas D. COhen

The magnetic moments and transition magnetic moments of the ground state baryons are analyzed in an expansion in 1/N_c, SU(3) flavor symmetry breaking and isospin symmetry breaking. There is clear evidence in the experimental data for the…

High Energy Physics - Phenomenology · Physics 2013-05-30 Elizabeth Jenkins

We study baryons of arbitrary isospin in a stringy holographic QCD model. In this D4-D8 holographic setting, the flavor symmetry is promoted to a gauge symmetry in the bulk, and produces, as KK modes of the gauge field, pions and spin one…

High Energy Physics - Theory · Physics 2010-02-03 Jaemo Park , Piljin Yi

We present a model-independent analysis of the mass spectrum of nonstrange L=1 baryons in large N_c QCD. The 1/N_c expansion is used to select and order a basis of effective operators that spans the nine observables (seven masses and two…

High Energy Physics - Phenomenology · Physics 2007-05-23 Christopher D. Carone

Using an SU(3) flavour symmetry breaking expansion in the quark mass, we determine the QCD component of the nucleon, Sigma and Xi mass splittings of the baryon octet due to up-down (and strange) quark mass differences in terms of the kaon…

High Energy Physics - Lattice · Physics 2013-05-30 R. Horsley , J. Najjar , Y. Nakamura , D. Pleiter , P. E. L. Rakow , G. Schierholz , J. M. Zanotti

Variational analysis techniques in lattice QCD are powerful tools that give access to the full spectrum of QCD. At zero momentum, these techniques are well established and can cleanly isolate energy eigenstates of either positive or…

High Energy Physics - Lattice · Physics 2017-11-20 Finn M. Stokes , Waseem Kamleh , Derek B. Leinweber , Benjamin J. Owen

We study the electromagnetic form factors of the lowest-lying singly heavy baryons in a pion mean-field approach, which is also known as the SU(3) chiral quark-soliton model. In the limit of the heavy-quark mass, the dynamics inside a…

High Energy Physics - Phenomenology · Physics 2021-02-17 June-Young Kim , Hyun-Chul Kim

The baryon mass operator is studied within a combined expansion in $1/N_c$ and perturbative $SU(3)$ flavor symmetry breaking, where $N_c$ denotes the number of quark charges. Flavor projection operators are used to classify the baryon…

We consider configuration mixing for the nonstrange positive parity excited baryons in the $[\mathbf{56'},0^+],[\mathbf{56},2^+], [\mathbf{70},0^+] $ and $[\mathbf{70},2^+]$ quark model $SU(6) \times O(3)$ multiplets contained in the $N=2$…

Nuclear Theory · Physics 2017-05-24 Cintia Willemyns , Carlos Schat

The $1/N_c$ expansion method for studying the mass spectrum of excited baryons is shortly reviewed together with applications to mixed symmetric states. The $[{\bf 70, \ell^+}]$ multiplet, belonging to the $N$ = 2 band, is reanalyzed, with…

High Energy Physics - Phenomenology · Physics 2017-02-02 Fl. Stancu

We develop an improved method to explore the $\Xi_c- \Xi_c'$ mixing which arises from the flavor SU(3) and heavy quark symmetry breaking. In this method, the flavor eigenstates under the SU(3) symmetry are at first constructed and the…

High Energy Physics - Phenomenology · Physics 2024-03-04 Hang Liu , Wei Wang , Qi-An Zhang