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We present work designed to compute baryon masses on $N_f = 2 + 1$ CLS ensembles including isospin-breaking effects due to non-degenerate light quark masses and electromagnetic interactions. These effects are determined at leading order via…

High Energy Physics - Lattice · Physics 2021-12-16 Alexander M. Segner , Andrew D. Hanlon , Renwick J. Hudspith , Andreas Risch , Hartmut Wittig

We present the status of an ongoing project aimed at the inclusion of isospin-breaking corrections arising from the non-degeneracy of the light quark masses and electromagnetic interactions in calculations of the low-lying octet and…

High Energy Physics - Lattice · Physics 2022-12-15 Alexander M. Segner , Andrew D. Hanlon , Andreas Risch , Hartmut Wittig

The masses of the low lying baryons are evaluated using two degenerate flavors of twisted mass sea quarks corresponding to pseudo scalar masses in the range of about 270-500 MeV. The strange valence quark mass is tuned to reproduce the mass…

High Energy Physics - Lattice · Physics 2009-12-31 C. Alexandrou , R. Baron , J. Carbonell , V. Drach , P. Guichon , K. Jansen , T. Korzec , O. Pène

We study the isospin symmetry breaking and mass splittings of the eight lowest-lying baryons. We consider three kinds of baryon mass terms, including the bare mass term, the electromagnetic terms and the spontaneous chiral symmetry breaking…

High Energy Physics - Phenomenology · Physics 2014-03-17 Hua-Xing Chen

The masses of the low lying baryons are evaluated using a total of ten ensembles of dynamical twisted mass fermion gauge configurations. The simulations are performed using two degenerate flavors of light quarks, and a strange and a charm…

High Energy Physics - Lattice · Physics 2015-06-22 C. Alexandrou , V. Drach , K. Jansen , C. Kallidonis , G. Koutsou

Empirical mass formulae for the baryon octet and decuplet are presented. These formulae are functions of one integer variable and charge state of the baryons. With an exception of Lambda(1116), the formulae generate masses within 0.1% of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sung La

Lattice QCD simulations are now reaching a precision where isospin breaking effects become important. Previously, we have developed a program to systematically investigate the pattern of flavor symmetry beaking within QCD and successfully…

High Energy Physics - Lattice · Physics 2016-10-12 R. Horsley , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , R. Stokes , H. Stüben , R. D. Young , J. M. Zanotti

We present results on the masses of the low-lying baryons using ten ensembles of gauge configurations with $N_f =2+1+1$ dynamical twisted mass fermions, at three values of the lattice spacing, spanning a pion mass range from about 210 MeV…

High Energy Physics - Lattice · Physics 2014-12-03 C. Alexandrou , V. Drach , K. Hadjiyiannakou , K. Jansen , C. Kallidonis , G. Koutsou

We estimate the isospin breaking contributions to the baryon masses which we analyzed recently using a loop expansion in the heavy baryon approximation to chiral effective field theory. To one loop, the isospin breaking corrections come…

High Energy Physics - Phenomenology · Physics 2009-11-11 Phuoc Ha

While electromagnetic and up-down quark mass difference effects on octet baryon masses are very small, they have important consequences. The stability of the hydrogen atom against beta decay is a prominent example. Here we include these…

High Energy Physics - Lattice · Physics 2014-01-07 Sz. Borsanyi , S. Dürr , Z. Fodor , J. Frison , C. Hoelbling , S. D. Katz , S. Krieg , Th. Kurth , L. Lellouch , Th. Lippert , A. Portelli , A. Ramos , A. Sastre , K. Szabo

We investigate the low-lying baryon spectrum using three $N_f$=2+1+1 ensembles simulated with physical values of the quark masses and lattice spacings of 0.080, 0.069, and 0.057 fm. The ensembles are generated using twisted mass…

High Energy Physics - Lattice · Physics 2024-01-10 Constantia Alexandrou , Simone Bacchio , Georgios Christou , Jacob Finkenrath

Baryon mass splittings are analyzed in terms of a simple model with general pairwise interactions. At present, the $\Delta$ masses are poorly known from experiments. Improvement of these data would provide an opportunity to make a…

High Energy Physics - Phenomenology · Physics 2009-10-22 R. E. Cutkosky

We present results on the mass of the baryon octet and decuplet using two flavors of light dynamical twisted mass fermions. The strange quark mass is fixed to its physical value from the kaon sector in a partially quenched set up.…

High Energy Physics - Lattice · Physics 2010-01-21 V. Drach , M. Brinet , J. Carbonell , Z. Liu , C. Alexandrou , T. Korzec , G. Koutsou , R. Baron , P. Guichon , O. Pène , E. Pallante , S. Reker , C. Urbach , K. Jansen

Considering simultaneously isospin and SU(3) flavor symmetry breakings, we investigate the complete mass splittings of SU(3) baryons within a chiral soliton model, a {}"model-independent approach" being employed. In linear order several new…

High Energy Physics - Phenomenology · Physics 2012-09-03 Ghil-Seok Yang , Hyun-Chul Kim

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

We revisit the mass splittings of SU(3) baryons, taking into account the second-order effects of isospin and SU(3) flavor symmetry breakings within the framework of a chiral soliton model. The masses of the baryon decuplet turn out to be…

High Energy Physics - Phenomenology · Physics 2015-05-27 Ghil-Seok Yang , Hyun-Chul Kim

We report a new analysis of the isospin splittings within the decuplet baryon spectrum. Our numerical results are based upon five ensembles of dynamical QCD+QED lattices. The analysis is carried out within a flavour-breaking expansion which…

High Energy Physics - Lattice · Physics 2019-09-05 R. Horsley , Z. Koumi , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , H. Stüben , R. D. Young , J. M. Zanotti

The mass spectrum of the lowest lying octet baryons is calculated to next-to-next-to-leading order in heavy baryon chiral perturbation theory and partially quenched heavy baryon chiral perturbation theory. We work in the isospin limit and…

High Energy Physics - Lattice · Physics 2009-11-10 Andre Walker-Loud

We present a precise lattice QCD calculation of the contribution to the neutron-proton mass splitting arising from strong isospin breaking, $m_n-m_p|_{QCD}=2.32\pm0.17$ MeV. We also determine $m_{\Xi^-} - m_{\Xi^0}|_{QCD} = 5.44\pm0.31$…

We present results on the mass of the nucleon and the $\Delta$ using two dynamical degenerate twisted mass quarks. The evaluation is performed at four quark masses corresponding to a pion mass in the range of 690-300 MeV on lattices of size…

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