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Treating the issue of hadron masses and mass relations by the use of quantum groups U_q(su_n) taken as hadron flavor symmetries suggests, at least in the case of baryons, a direct connection of the deformation parameter q with the Cabibbo…

高能物理 - 唯象学 · 物理学 2008-11-26 A. M. Gavrilik

The quantum group $SU_q(3)=U_q(su(3))$ is taken as a baryon flavor symmetry. Accounting for electromagnetic contributions to baryons masses to zeroth order, new charge specific $q$-deformed octet and decuplet baryon mass formulas are…

高能物理 - 唯象学 · 物理学 2016-11-23 Niels G. Gresnigt

Treating hadronic flavor symmetries with quantum algebras U_q(su_n) leads to interesting consequences such as: new mass sum rules for hadrons 1^-, (1/2)^+, (3/2)^+ of improved accuracy; possibility to label different flavors topologically -…

高能物理 - 唯象学 · 物理学 2007-05-23 A. M. Gavrilik

We extend the chromomagnetic model by further considering the effect of color interaction. The effective mass parameters between quark pairs ($m_{qq}$ or $m_{q\bar{q}}$) are introduced to account both the effective quark masses and the…

高能物理 - 唯象学 · 物理学 2018-03-28 Xin-Zhen Weng , Xiao-Lin Chen , Wei-Zhen Deng

By assuming the existence of (quasi)-linear Regge trajectories for heavy mesons, we derive new quadratic mass relations of non-Gell-Mann-Okubo type, 6M^2(q-qbar)+3M^2(c-cbar)=8M^2(c-qbar), 20M^2(q-qbar)+5M^2(b-bbar)= 16M^2(b-qbar),…

高能物理 - 唯象学 · 物理学 2007-05-23 L. Burakovsky , L. P. Horwitz , T. Goldman

By assuming the existence of (quasi)-linear baryon Regge trajectories, we derive new quadratic Gell-Mann-Okubo type baryon mass relations. These relations are used to predict the masses of the charmed baryons absent from the Baryon Summary…

高能物理 - 唯象学 · 物理学 2008-11-26 L. Burakovsky , T. Goldman , L. P. Horwitz

We show that application of quantum unitary groups, in place of ordinary flavor SU(n_f), to such static aspects of hadron phenomenology as hadron masses and mass formulas is indeed fruitful. The so-called q-deformed mass formulas are given…

高能物理 - 唯象学 · 物理学 2007-05-23 A. M. Gavrilik

We compute masses of positive parity spin-$1/2$ and $3/2$ baryons composed of $u$, $d$, $s$, $c$ and $b$ quarks in a quark-diaquark picture. The mathematical foundation for this analysis is implemented through a symmetry-preserving…

核理论 · 物理学 2019-12-25 L. X. Gutiérrez-Guerrero , Adnan Bashir , Marco A. Bedolla , E. Santopinto

With quantum groups $U_q(su_n)$ taken as classifying symmetries for hadrons of $n$ flavors, we calculate within irreducible representation $D^+_{12}(p-1,p-3,p-4;p,p-2)$ ($p \in {\bf Z}$) of 'dynamical' quantum group $U_q(u_{4,1})$ the…

高能物理 - 唯象学 · 物理学 2007-05-23 A. M. Gavrilik , I. I. Kachurik , A. V. Tertychnyj

The use, for flavor symmetries, of the quantum (or q-) analogs of unitary groups SU(n_f) yields new, very accurate, baryon mass sum rules. We show, in the 3-flavor case, that such approach accounts for nonpolynomial SU(3)-breaking effects…

高能物理 - 唯象学 · 物理学 2010-06-01 A. M. Gavrilik , N. Z. Iorgov

Quark model with potentials derived from QCD, including the quark-diquark model for excited hadrons gives mass formulae in very good agreement with experiment and goes a long way in explaining the approximate symmetries and supersymmetries…

高能物理 - 唯象学 · 物理学 2007-05-23 Sultan Catto

The masses of the ground state heavy baryons consisting of two light (u,d,s) and one heavy (c,b) quarks are calculated in the heavy-quark--light-diquark approximation within the constituent quark model. The light quarks, forming the…

高能物理 - 唯象学 · 物理学 2009-11-11 D. Ebert , R. N. Faustov , V. O. Galkin

We formulate a set of mass relations for the baryon octet and decuplet with positive and negative parity in terms of the order parameter of QCD chiral symmetry. The Gell-Mann--Okubo mass formula and Gell-Mann's equal spacing rule hold…

高能物理 - 唯象学 · 物理学 2018-03-14 Chihiro Sasaki

We establish the existence of one-loop finite relations between the Cabibbo angle and the quark mass ratios, in the Standard Model with one Higgs doublet and two quark generations. Assuming a simple quark-lepton universality, we use the…

高能物理 - 唯象学 · 物理学 2007-05-23 M. Buysse

We propose a phenomenological QCD sum rule with an explicit diquark field to investigate the essential ingredients inside the hadrons. Introducing the mass (m_\phi) and the condensate (\phi^2) for the diquark field as parameters in the…

核理论 · 物理学 2011-09-02 Kyungil Kim , Daisuke Jido , Su Houng Lee

For the purpose of deriving the observed nearly tribimaximal neutrino mixing, a possible quark mass matrix model is investigated based on a yukawaon model. The neutrino mass matrix is related to the up-quark mass matrix. Five observable…

高能物理 - 唯象学 · 物理学 2010-03-31 Yoshio Koide

We calculate masses of light and heavy mesons as well as baryons of negative parity containing $u,d,s,c$ and $b$ quarks. It is an extension of our previous work where we had studied the positive parity baryons. We adopt a quark-diquark…

高能物理 - 唯象学 · 物理学 2021-11-24 L. X. Gutiérrez-Guerrero , G. Paredes-Torres , A. Bashir

We establish a connection between the quark model results and the $1/N_c$ expansion mass formula used in the description of baryon resonances. We show that a remarkable compatibility exists between the two methods.

高能物理 - 唯象学 · 物理学 2008-11-26 C. Semay , F. Buisseret , N. Matagne , Fl. Stancu

Baryons can be described within several theoretical frameworks. Among them, the constituent approach is widely used. In this context, we aim to evaluate the accuracy of a particular model of baryons: the quark-diquark approximation. It…

高能物理 - 唯象学 · 物理学 2026-01-21 Clara Tourbez , Cyrille Chevalier , Claude Semay

A good agreement between a flux tube-based quark model of light baryons (strange and nonstrange) and the $1/N_c$ expansion mass formula has been found in previous studies. In the present work a larger connection is established between the…

高能物理 - 唯象学 · 物理学 2008-11-26 C. Semay , F. Buisseret , F. Stancu
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