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Related papers: Isospin-breaking Effects in Octet and Decuplet Bar…

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We present a new method to evaluate with high precision the isospin breaking effects due to the mass difference between the up and down quarks using lattice QCD. Our proposal is applicable in principle to any hadronic observable which can…

The masses of the yet undiscovered baryons containing single $c$ or $b$ quarks are estimated from the known masses using the following rules: equal distances in mass between the isomultiplets forming sextets, equal mass differences between…

High Energy Physics - Phenomenology · Physics 2007-05-23 Agnieszka Zalewska , Kacper Zalewski

We compute the self energies of the baryon octet and decuplet states at the one-loop level applying the manifestly covariant chiral Lagrangian. It is demonstrated that expressions consistent with the expectation of power counting rules…

Nuclear Theory · Physics 2010-12-16 A. Semke , M. F. M. Lutz

The octet and decuplet SU(3)f baryons are studied with the Polyakov, Nambu and Jona-Lasinio model, in a diquark-quark approach, via the resolution of the Bethe-Salpeter equation. This work includes estimations of their masses according to…

High Energy Physics - Phenomenology · Physics 2026-02-10 Eric Blanquier

Using the expansion of the baryon wave function in a series of products of single quark bispinors (Dirac orbitals), the nonsinglet axial and tensor charges of a nucleon are calculated. The leading term yields $g_A = 1.27$ in good agreement…

High Energy Physics - Phenomenology · Physics 2009-07-22 Yu. A. Simonov , M. A. Trusov

We analyze the baryon mass differences up to second order in chiral perturbation theory, including the effects of decuplet intermediate states. We show that the Coleman--Glashow relation has computable corrections of order $(m_d - m_u)…

High Energy Physics - Phenomenology · Physics 2009-10-28 Richard F. Lebed , Markus A. Luty

So far, the masses of excited states of mixed orbital symmetry and in particular those of nonstrange $[{\bf 70},1^-]$ baryons derived in the $1/N_c$ expansion were based on the separation of a system of $N_c$ quarks into a symmetric core…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. Matagne , Fl. Stancu

It is argued that the mass spectrum of a baryon octet is linear, consistent with a Gell-Mann--Okubo type relation for the squared masses of the baryons obtained previously by Bal\'{a}zs and Nicolescu. The mass spectrum of a baryon decuplet…

High Energy Physics - Phenomenology · Physics 2009-10-28 L. Burakovsky , L. P. Horwitz

We determine the light baryon spectrum on ensembles generated by the Coordinated Lattice Simulations (CLS) effort, employing $N_f=2+1$ flavours of non-perturbatively improved Wilson fermions. The hadron masses are interpolated and…

The baryon axial vector current is computed at one-loop order in large-N_c baryon chiral perturbation theory, where N_c is the number of colors. Loop graphs with octet and decuplet intermediate states are systematically incorporated into…

High Energy Physics - Phenomenology · Physics 2014-03-11 Ruben Flores-Mendieta , Maria A. Hernandez-Ruiz , Christoph P. Hofmann

We present a study of the isospin-breaking (IB) corrections to pseudoscalar (PS) meson masses using the gauge configurations produced by the ETM Collaboration with $N_f=2+1+1$ dynamical quarks at three lattice spacings varying from 0.089 to…

High Energy Physics - Lattice · Physics 2018-04-18 D. Giusti , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula , N. Tantalo , C. Tarantino

Strong isospin breaking in the spectrum of the nucleons and deltas can be studied in lattice QCD with the help of chiral perturbation theory. At leading order in the chiral expansion, the mass splittings between the proton and neutron and…

High Energy Physics - Lattice · Physics 2015-06-25 Brian C. Tiburzi , Andre Walker-Loud

We reexamine critically the chiral expansion for the baryon magnetic moments including the contributions from loops which involve intermediate octet and decuplet baryons. We find that, contrary to some claims, the nonanalytic loop…

High Energy Physics - Phenomenology · Physics 2009-10-30 Loyal Durand , Phuoc Ha

We discuss how the quark masses and their mass splitting affect the baryons in the Skyrme model as well as the Witten-Sakai-Sugimoto (WSS) model. In both cases baryons are described by solitonic objects, i.e. Skyrmions and instantons,…

High Energy Physics - Theory · Physics 2024-08-06 Lorenzo Bartolini , Stefano Bolognesi , Sven Bjarke Gudnason , Tommaso Rainaldi

We report on a calculation of the effects of isospin breaking in Lattice QCD+QED. This involves using Chiral Perturbation Theory with Electromagnetic corrections to find the renormalized, non-degenerate, light quark masses. The calculations…

High Energy Physics - Lattice · Physics 2013-12-03 Shane Drury , Thomas Blum , Masashi Hayakawa , Taku Izubuchi , Chris Sachrajda , Ran Zhou

We study baryons on the lattice with a special focus on excited states. For that purpose we construct several interpolators which differ in their Dirac structure. These interpolators are built from Jacobi smeared quarks with different…

High Energy Physics - Lattice · Physics 2007-05-23 Tommy Burch , Christof Gattringer , Leonid Ya. Glozman , Christian Hagen , Dieter Hierl , C. B. Lang , Andreas Schaefer

We report on a recent study of finite-volume effects on the lowest-lying octet baryon masses using the covariant baryon chiral perturbation theory up to next-to-leading order by analysing the latest $n_f = 2 + 1$ lattice QCD results from…

Nuclear Theory · Physics 2017-08-23 Xiu-Lei Ren , Lisheng Geng , Jie Meng

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

A calculation of the mass spectrum in the baryon decuplet sector is presented using the method of QCD sum rules. Sum rules are derived for states of spin-parity 3/2+- and 1/2+ using both the conventional method and a parity-projection…

Nuclear Theory · Physics 2008-11-26 Frank X. Lee

We calculate the effective potentials of the octet baryon and heavy meson systems using the chiral effective field theory up to the next-to-leading order. We consider the contact terms, one-pseudoscalar-meson and two-pseudoscalar-meson…

High Energy Physics - Phenomenology · Physics 2024-12-12 Bo-Lin Huang , Bo Wang , Shi-Lin Zhu