scholarly journals Heavy baryons with strangeness in soliton models

2015 ◽  
Vol 39 ◽  
pp. 1560088
Author(s):  
H. Weigel ◽  
J. P. Blanckenberg
Keyword(s):  
Symmetry Breaking ◽  
Heavy Quark ◽  
Chiral Symmetry ◽  
Degrees Of Freedom ◽  
Heavy Quarks ◽  
Flavor Symmetry ◽  
Model Calculations ◽  
Soliton Model ◽  
Heavy Baryons

We present some recent results from soliton model calculations for the spectrum of baryons with a single heavy quark. The model comprises chiral symmetry for light flavors and (approximate) heavy spin–flavor symmetry for the heavy quarks. We focus on flavor symmetry breaking for strangeness degrees of freedom.

scholarly journals BARYONS AS THREE-FLAVOR SOLITONS

1996 ◽  
Vol 11 (14) ◽  
pp. 2419-2544 ◽  
Author(s):  
HERBERT WEIGEL
Keyword(s):  
Symmetry Breaking ◽  
Vector Meson ◽  
Degrees Of Freedom ◽  
Magnetic Moments ◽  
Axial Vector ◽  
Vector Current ◽  
Bound State ◽  
Axial Vector Current ◽  
Flavor Symmetry ◽  
Matrix Elements

The description of baryons as soliton solutions of effective meson theories for three-flavor (up, down and strange) degrees of freedom is reviewed and the phenomenological implications are illuminated. In the collective approach the soliton configuration is equipped with baryon quantum numbers by canonical quantization of the coordinates describing the flavor orientation. The baryon spectrum resulting from exact diagonalization of the collective Hamiltonian is discussed. The prediction of static properties, such as the baryon magnetic moments and the Cabibbo matrix elements for semileptonic hyperon decays, are explored with regard to the influence of flavor symmetry breaking. In particular, the role of strange degrees of freedom in the nucleon is investigated for both the vector and axial vector current matrix elements. The latter are discussed extensively within the context of the proton spin puzzle. The influence of flavor symmetry breaking on the shape of the soliton is examined, and observed to cause significant deviations from flavor-covariant predictions on the baryon magnetic moments. Short range effects are incorporated by a chirally invariant inclusion of vector meson fields. These extensions are necessary for properly describing the singlet axial vector current and the neutron–proton mass difference. The effects of the vector meson excitations on baryon properties are also considered. The bound state description of hyperons and its generalization to baryons containing a heavy quark are illustrated. In the case of the Skyrme model a comparison is made between the collective quantization scheme and the bound state approach. Finally, the Nambu–Jona-Lasinio model is employed to demonstrate that hyperons can be described as solitons in a microscopic theory of the quark flavor dynamics. This is explained for both the collective and the bound state approaches to strangeness.

scholarly journals SYMMETRIES AND SYSTEMATICS OF DOUBLY HEAVY HADRONS

2012 ◽  
Vol 27 (08) ◽  
pp. 1250039 ◽  
Author(s):  
B. EAKINS ◽  
W. ROBERTS
Keyword(s):  
Experimental Data ◽  
Excitation Energy ◽  
Heavy Quark ◽  
Quark Model ◽  
Strange Quark ◽  
Heavy Meson ◽  
Heavy Quarks ◽  
Heavy Mesons ◽  
Heavy Baryons

We discuss the extension of the superflavor symmetry of doubly heavy baryons to states which contain an excited heavy diquark and we examine some of the consequences of this symmetry for the spectra of doubly heavy baryons and heavy mesons. We explore the ramifications of a proposed symmetry that relates heavy diquarks to doubly heavy mesons. We present a method for determining how the excitation energy of a system containing two heavy quarks will scale as one changes the strength of the interactions and the reduced mass of the system. We use this to derive consequences of the heavy diquark-doubly heavy meson symmetry. We compare these consequences to the results of a quark model as well as the experimental data for doubly and singly heavy mesons. We also discuss the possibility of treating the strange quark as a heavy quark and apply the ideas developed here to strange hadrons.

Vacuum Structure, Chiral Symmetry Breaking and Radiative Decays of Vector Mesons

1997 ◽  
Vol 06 (01) ◽  
pp. 121-134
Author(s):  
A. R. Panda ◽  
K. C. Roy
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Radiative Decay ◽  
Constituent Quark ◽  
Chiral Symmetry Breaking ◽  
Vector Mesons ◽  
Model Calculations ◽  
Vacuum Structure ◽  
Quark Field ◽  
Decay Widths

The radiative decay widths of vector mesons were considered in a model involving chiral symmetry breaking through a nontrivial vacuum structure where the pion and kaon being treating consistently yield the constituent quark wave functions, approximately the same as that obtained from the gap equations and thus in a way determine the constituent quark field operators. Like its earlier success to some low energy hadronic phenomena, here also the model calculations of radiative decay widths of mesons are in reasonable agreements with other theoretical estimations as well as experimental measurements.

scholarly journals Chiral Symmetry Breaking in the Dual Ginzburg - Landau Theory

1997 ◽  
Vol 50 (1) ◽  
pp. 199 ◽  
Author(s):  
Hiroshi Toki ◽  
Shoichi Sasaki ◽  
Hiroko Ichie ◽  
Hideo Suganuma
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Nuclear Physics ◽  
Degrees Of Freedom ◽  
Landau Theory ◽  
Chiral Symmetry Breaking ◽  
Quark Confinement ◽  
Strong Connection ◽  
Ginzburg Landau ◽  
Spontaneous Breakdown

Confinement and spontaneous chiral symmetry breaking are the most fundamental phenomena in quark nuclear physics, where hadrons and nuclei are described in terms of quarks and gluons. The dual Ginzburg–Landau (DGL) theory contains monopole fields as the most essential degrees of freedom. Their condensation in the vacuum is modelled to describe quark confinement in strong connection with QCD. We then demonstrate that the DGL theory is able to describe the spontaneous breakdown of chiral symmetry.

scholarly journals STRONGLY COUPLED N=1 SUPERSYMMETRIC SO(Nc) GAUGE THEORIES WITHOUT MAGNETIC DEGREES OF FREEDOM

2004 ◽  
Vol 19 (25) ◽  
pp. 4323-4354
Author(s):  
MASAKI YASUÈ
Keyword(s):  
Symmetry Breaking ◽  
Degrees Of Freedom ◽  
Gauge Theories ◽  
Low Energy ◽  
Flavor Symmetry ◽  
Correct Description ◽  
Strongly Coupled ◽  
Energy Physics

In strongly coupled supersymmetric SO (Nc) gauge theories with Nf-quarks for Nc-2≤Nf(≤3(Nc-2)/2), their low-energy physics can be described by Nambu–Goldstone superfields associated with dynamical flavor symmetry breaking, which should be compared with the absence of flavor symmetry breaking in the conventional description in terms of magnetic degrees of freedom. The presence of the flavor symmetry breaking is confirmed by the well-known instanton effects in SO (Nc) with Nf=Nc-2, which are also described by our proposed effective superpotential. For Nf≥Nc-1, our effective superpotentials utilize baryonic configurations as well as mesons composed of two quarks. The baryonic configurations are supplied by "diquarks" made of Nc-1 quarks for Nf=Nc-1 and by baryons composed of Nc quarks for Nc≥Nf. It is argued that our effective superpotentials exhibit the holomorphic decoupling property, the anomaly-matching property and correct description of instanton effects in SO (Nc) when Nf-Nc+2 quarks become massive if Nf≥Nc-1.

scholarly journals HEAVY BARYONS IN THE QUARK-DIQUARK PICTURE

1998 ◽  
Vol 13 (07) ◽  
pp. 1091-1113 ◽  
Author(s):  
DIETMAR EBERT ◽  
THORSTEN FELDMANN ◽  
CHRISTIANE KETTNER ◽  
HUGO REINHARDT
Keyword(s):  
Heavy Quark ◽  
Faddeev Equation ◽  
Bound States ◽  
Heavy Baryon ◽  
Heavy Quarks ◽  
Mass Limit ◽  
Static Approximation ◽  
Heavy Baryons

We describe heavy baryons as bound states of a quark and a diquark. For this purpose we derive the Faddeev equation for baryons containing a single heavy quark from a Nambu–Jona–Lasinio type of model which is appropriately extended to include also heavy quarks. The latter are treated in the heavy mass limit. The heavy baryon Faddeev equation is then solved using a static approximation for the exchanged quark.

scholarly journals CHIRAL AND UA(1) SYMMETRY IN CORRELATION FUNCTIONS IN MEDIUM

2013 ◽  
Vol 22 (03) ◽  
pp. 1330008 ◽  
Author(s):  
SU HOUNG LEE ◽  
SUNGTAE CHO
Keyword(s):  
Symmetry Breaking ◽  
Heavy Quark ◽  
Chiral Symmetry ◽  
Correlation Functions ◽  
Chiral Symmetry Breaking ◽  
Breaking Effect ◽  
Formula One ◽  
The Common

In this review, we will discuss how the chiral symmetry and UA(1) breaking effects are reflected in the correlation functions. Using the Banks–Casher formula, one can identify the density of zero eigenvalues to be the common ingredient that governs the chiral symmetry breaking in correlation functions between currents composed of light quarks with or without a heavy quark. Similarly, the presence of the UA(1) breaking effect is determined through the contribution of the topologically nontrivial configurations that depends on the number of flavors. We also discuss how the symmetry breaking effects are reflected in the gluon correlation functions. Finally, we review the Witten–Veneziano (WV) formula for the η' mass in medium.

scholarly journals HEAVY-QUARK SYMMETRY AND SKYRMIONS

1995 ◽  
Vol 04 (01) ◽  
pp. 47-119 ◽  
Author(s):  
DONG-PIL MIN ◽  
YONGSEOK OH ◽  
BYUNG-YOON PARK ◽  
MANNQUE RHO
Keyword(s):  
Heavy Quark ◽  
Chiral Symmetry ◽  
Heavy Quarks ◽  
The Other ◽  
Finite Mass ◽  
Top Down ◽  
Bottom Up ◽  
Heavy Quark Symmetry ◽  
Heavy Quark Limit ◽  
Work Done

We review recent development on combining heavy-quark symmetry and chiral symmetry in the skyrmion structure of the baryons containing one or more heavy quarks, c (charmed) and b (bottom). We describe two approaches: One going from the chiral symmetry regime of light quarks to the heavy-quark symmetry regime which will be referred to as “bottom-up” approach and the other going down from the heavy-quark limit to the realistic finite-mass regime which will be referred to as “top-down.” A possible hidden connection between the two symmetry limits is suggested. This review is based largely on the work done — some unpublished — by the authors since several years.

Strong interaction coupling-constant sum rules for heavy hadrons with broken SU(3) symmetry

2020 ◽  
Vol 35 (34) ◽  
pp. 2050284
Author(s):  
B. Medina-Carrillo ◽  
G. Sánchez-Colón ◽  
V. Gupta
Keyword(s):  
Strong Interaction ◽  
Sum Rules ◽  
Heavy Quarks ◽  
Light Meson ◽  
Flavor Symmetry ◽  
Coupling Constant ◽  
Charmed Baryons ◽  
Heavy Mesons ◽  
First Order ◽  
Heavy Baryons

Heavy baryons [Formula: see text] and heavy mesons [Formula: see text] for heavy quarks [Formula: see text], [Formula: see text], or [Formula: see text] and light quarks [Formula: see text], [Formula: see text], or [Formula: see text] are considered. Strong interaction coupling-constant sum rules with first-order breaking of SU(3) flavor symmetry are obtained for reaction [Formula: see text] where [Formula: see text] or [Formula: see text], [Formula: see text] or [Formula: see text], and [Formula: see text] is a light meson. Specific results for couplings of doubly charmed baryons and charm and bottom mesons are presented. Also, SU(3) Clebsch-Gordan coefficients for the product of representations [Formula: see text] are explicitly determined.

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