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Related papers: Baryon Mass Splittings in Chiral Perturbation Theo…

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We study the chiral expansion of the baryon octet and decuplet masses in the isospin limit. It is illustrated that a chiral expansion of the one-loop contributions is rapidly converging up to quark masses that generously encompasses the…

High Energy Physics - Lattice · Physics 2019-07-31 M. F. M. Lutz , Yonggoo Heo , Xiao-Yu Guo

We present an analysis of the octet baryon masses and the $\pi N$ and $KN$ $\sigma$--terms in the framework of heavy baryon chiral perturbation theory. At next-to-leading order, ${\cal O}(q^3)$, knowledge of the baryon masses and…

High Energy Physics - Phenomenology · Physics 2016-08-14 Véronique Bernard , Norbert Kaiser , Ulf-G. Meißner

We analyze the octet baryon masses and the pion/kaon--nucleon $\sigma$--terms in the framework of heavy baryon chiral perturbation theory. We include {\it all} terms up-to-and-including quadratic order in the light quark masses, $m_q$. We…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Borasoy , Ulf-G. Meißner

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 show that the average multiplet masses in the baryon octet and decuplet can be fitted with an average error of only $0.5\pm 0.3$ MeV in a meson loop expansion with chiral SU(6) couplings, with the hadrons treated as composite particles…

High Energy Physics - Phenomenology · Physics 2009-10-31 Phuoc Ha , Loyal Durand

We compute nonanalytical pion-loop corrections to baryon masses in a combined expansion in chiral symmetry breaking and 1/N_c, where N_c is the number of colors. Specifically, we compute flavor-27 baryon mass splittings at leading order in…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ruben Flores-Mendieta

Heavy baryon chiral perturbation theory for pentaquarks is applied beyond leading order. The mass splitting in the pentaquark anti-decuplet is calculated up to NNLO. An expansion in the coupling of pentaquarks to non-exotic baryons…

High Energy Physics - Phenomenology · Physics 2009-11-10 Vivek Mohta

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

We compute the finite temperature pole mass shifts of the octet and decuplet baryons using heavy baryon chiral perturbation theory and the 1/N_c expansion, where N_c is the number of QCD colors. We consider temperatures of the order of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Paulo F. Bedaque

We consider flavor breaking in the the octet and decuplet baryon masses at second order in large-$N$ chiral perturbation theory, where $N$ is the number of QCD colors. We assume that $1/N \sim 1/N_F \sim m_s / \Lambda \gg m_{u,d}/\Lambda,…

High Energy Physics - Phenomenology · Physics 2014-11-17 Paulo F. Bedaque , Markus A. Luty

We calculate the masses and sigma terms of the doubly charmed baryons up to next-to-next-to-next-to-leading order (i.e., $\mathcal{O}(p^4)$) in a covariant baryon chiral perturbation theory by using the extended-on-mass-shell…

High Energy Physics - Phenomenology · Physics 2018-03-14 De-Liang Yao

We calculate the baryon octet masses to fourth order in chiral perturbation theory employing dimensional and cut-off regularization. We analyze the pion and kaon mass dependences of the baryon masses based on the MILC data. We show that…

High Energy Physics - Lattice · Physics 2007-05-23 Matthias Frink , Ulf-G. Meißner , Ilka Scheller

Baryon decuplet masses within an $SU(3)_L \times SU(3)_R$ chiral Lagrangian formalism are found to satisfy four relations at second order in flavor breaking. As a result, the one-loop corrections from Lagrangian terms up to first order in…

High Energy Physics - Phenomenology · Physics 2011-07-19 Richard F. Lebed

The masses of the charmed baryons in the ${\bf 6}$ representation of $SU(3)$ obey an equal spacing rule at lowest order in $SU(3)$ breaking, ${\cal O}(m_s)$. We compute the corrections to this relation at order ${\cal O}(m_s^{3/2})$ arising…

High Energy Physics - Phenomenology · Physics 2009-10-28 Martin J. Savage

We perform a chiral extrapolation of the baryon octet and decuplet masses in a relativistic formulation of chiral perturbation theory. A partial summation is assumed as implied by the use of physical baryon and meson masses in the one-loop…

High Energy Physics - Phenomenology · Physics 2015-06-03 A. Semke , M. F. M. Lutz

The chiral expansion of the one-loop corrections to baryon masses is examined in a generic meson-cloud model with meson-baryon form factors. For pion loops, the expansion is rapidly convergent and at fourth order in $m_\pi$ accurately…

High Energy Physics - Phenomenology · Physics 2008-11-26 Richard E. Stuckey , Michael C. Birse

Baryon Chiral Perturbation Theory combined with the $1/N_c$ expansion is implemented for three flavors. Baryon masses, vector charges and axial vector couplings are studied to one-loop and organized according to the $\xi$-expansion, in…

Nuclear Theory · Physics 2018-03-21 Ishara P. Fernando , Jose L. Goity

We provide a short introduction to the one-nucleon sector of chiral perturbation theory and address the issue of power counting and renormalization. We discuss the infrared regularization and the extended on-mass-shell scheme. Both allow…

High Energy Physics - Phenomenology · Physics 2015-06-03 Stefan Scherer

Baryon magnetic moments are computed in baryon chiral perturbation theory in the large-$N_c$ limit at one-loop order, where $N_c$ is the number of color charges. Orders $\mathcal{O}(m_q^{1/2})$ and $\mathcal{O}(m_q \ln m_q)$ corrections are…

High Energy Physics - Phenomenology · Physics 2022-01-05 Ruben Flores-Mendieta , Carlos Isaac Garcia , Johann Hernandez , Maria Anabel Trejo

We review the quark-mass dependence of the baryon octet and decuplet masses as obtained from recent lattice simulations of the BMW, PACS-CS, LHPC, HSC and QCDSF-UKQCD groups. Our discussion relies on the relativistic chiral Lagrangian and…

High Energy Physics - Lattice · Physics 2013-02-05 M. F. M. Lutz , A. Semke
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