Flavor<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>4</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>breaking between effective couplings

El-Bennich, Bruno; Krein, G.; Chang, Lei; Roberts, C. D.; Wilson, David J.

doi:10.1103/physrevd.85.031502

Cited by 47 publications

(67 citation statements)

References 46 publications

(66 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Our result g ρDD = 1.103 is also smaller than predictions based on the VMD model [31,32] where g ρDD = 2.52 − 2.8. Moreover, we found that g ρDD < g ρππ /2, which is of the opposite trend to the predictions based on QCD sum rules [39] and Dyson-Schwinger equations of QCD [40], but it agrees with that obtained with the 3 P 0 pair-creation model in the nonrelativistic quark model of Refs. [42,43].…”

Section: Discussionsupporting

confidence: 74%

See 1 more Smart Citation

Strong couplings and form factors of charmed mesons in holographic QCD

2017

Self Cite

View full text Add to dashboard Cite

We extend the two-flavor hard-wall holographic model of Erlich, Katz, Son and Stephanov [Phys. Rev. Lett. 95, 261602 (2005)] to four flavors to incorporate strange and charm quarks. The model incorporates chiral and flavor symmetry breaking and provides a reasonable description of masses and weak decay constants of a variety of scalar, pseudoscalar, vector and axial-vector strange and charmed mesons. In particular, we examine flavor symmetry breaking in the strong couplings of the ρ meson to the charmed D and D * mesons. We also compute electromagnetic form factors of the π, ρ, K, K * , D and D * mesons. We compare our results for the D and D * mesons with lattice QCD data and other nonperturbative approaches.

show abstract

Section: Discussionsupporting

confidence: 74%

“…In Ref. [40], using a model constrained by the DysonSchwinger equations of QCD, it was found that the relation g ρDD = g ρππ /2 is strongly violated at the level of 300% or more. In a recent follow up of that study within the same framework, Ref.…”

Section: Introductionmentioning

confidence: 99%

Strong couplings and form factors of charmed mesons in holographic QCD

2017

Self Cite

View full text Add to dashboard Cite

show abstract

“…It is noteworthy that the magnitude found here is similar to the amount of SU (3)-flavour symmetry breaking observed in the difference between ρKK and ρππ couplings [64].…”

Section: B Secondary Kaon Transition Form Factorsupporting

confidence: 66%

Features and flaws of a contact interaction treatment of the kaon

et al. 2013

Self Cite

View full text Add to dashboard Cite

Elastic and semileptonic transition form factors for the kaon and pion are calculated using the leading-order in a global-symmetry-preserving truncation of the Dyson-Schwinger equations and a momentum-independent form for the associated kernels in the gap and Bethe-Salpeter equations. The computed form factors are compared both with those obtained using the same truncation but an interaction that preserves the one-loop renormalisation-group behaviour of QCD and with data. The comparisons show that: in connection with observables revealed by probes with |Q 2 | M 2 , where M ≈ 0.4 GeV is an infrared value of the dressed-quark mass, results obtained using a symmetry-preserving regularisation of the contact-interaction are not realistically distinguishable from those produced by more sophisticated kernels; and available data on kaon form factors do not extend into the domain whereupon one could distinguish between the interactions. The situation is different if one includes the domain Q 2 > M 2 . Thereupon, a fully consistent treatment of the contact interaction produces form factors that are typically harder than those obtained with QCD renormalisation-group-improved kernels. Amongst other things also described are a Ward identity for the inhomogeneous scalar vertex, similarity between the charge distribution of a dressed-u-quark in the K + and that of the dressed-u-quark in the π + , and reflections upon the point whereat one might begin to see perturbative behaviour in the pion form factor. Interpolations of the form factors are provided, which should assist in working to chart the interaction between light-quarks by explicating the impact on hadron properties of differing assumptions about the behaviour of the Bethe-Salpeter kernel.

show abstract

“…We start with the study conducted in the context of a 3 P 0 quark-pair creation model with hadron wave functions obtained from a nonrelativistic quark model (NRQM) [18]. The results obtained with the 3 P 0 model are then contrasted with those obtained in a framework using Dyson-Schwinger (DSE) equations, in which all elements are constrained by studies of QCD phenomenology, incorporating a consistent, direct and simultaneous description of light-and heavy-quarks [19].…”

Section: Charm In Matter and The Dn Interactionmentioning

confidence: 99%

“…of F ABC (q 2 ) involves several interconnected steps [19]: (1) solution of the Dyson-Schwinger equation for the propagators of the light and heavy quarks; (2) with the the derived quark propagators, the meson bound-state amplitudes are obtained from solving Bethe-Salpeter equations -they are normalized such that the experimental values of masses and electroweak decays constants of the mesons are correctly reproduced; and, (3) the matrix element is obtained by evaluating a triangle graph involving the quark propagators and the Bethe-Salpeter amplitudes. Physically motivated and controlled approximations in some of the steps above were implemented, all tested in several previous studies using this approachdiscussion of the approximations and references to relevant work are given in Ref.…”

Section: Menu 2013mentioning

confidence: 99%

Charmed hadrons in matter and SU(4) flavor symmetry

Krein

2014

EPJ Web of Conferences

Self Cite

View full text Add to dashboard Cite

Abstract. There is great recent interest in the study of bound states of charmed hadrons with atomic nuclei. The studies rely on effective interactions expressed through couplings between charmed and light-flavored hadrons whose values are fixed using SU(4) flavor symmetry. In the present communication we present results of recent studies examining the accuracy of SU(4)-flavor symmetry relations between hadron-hadron couplings with particular interest in the couplings of charmed D mesons to light mesons and nucleons. We discuss results obtained from a 3 P 0 quark-pair creation model and from a framework based on Dyson-Schwinger equations in QCD that incorporates a consistent, direct and simultaneous description of light-and heavy-quarks. We focus on the three-meson couplings , KK, and DD and meson-baryon-brayon couplings NN, K s N , and D c N . While the 3 P 0 model predicts that the SU(4) breaking is at most 40% in the charm sector, the relativistic Dyson-Schwinger framework predicts a breaking 10 times bigger. Consequences of these findings for the predictions of DN cross sections, formation of bound states of D-mesons and J / , and the formation of charmed hypernuclei are discussed. Charm in matter and the DN interactionThe study of the interaction of heavy-flavored hadrons with matter is of interest in different contexts. One instance of interest is related to the exciting perspective of creating new exotic nuclear bound states. Examples are J / and c forming bound states with a nucleus [1][2][3][4][5], charmed hypernuclei [6], and charmed heavy-light D and D * mesons [7-9] -for a recent review, see Ref. [10]. A pre-requisite for reliable predictions of properties of charmed hadrons in matter is the understanding of their interactions with nucleons and other light mesons in free space. A particularly critical issue in the study of such exotic nuclear states is the DN interaction. There is no direct experimental information available for this interaction and, for the time being, one has to rely on models constrained by symmetry, analogies with other similar processes, and the use of different degrees of freedom [11][12][13][14][15][16][17].Effective Lagrangians based on SU(4)-flavor symmetry are widely used in the study of the interactions of charmed hadrons with matter. In the particular case of the exotic J / nuclear bound state [2][3][4][5], the J / meson interacts with the bound nucleons via virtual D and D * loops -see Fig. 1. a

show abstract

FlavorSU(4)breaking between effective couplings

Cited by 47 publications

References 46 publications

Strong couplings and form factors of charmed mesons in holographic QCD

Strong couplings and form factors of charmed mesons in holographic QCD

Features and flaws of a contact interaction treatment of the kaon

Charmed hadrons in matter and SU(4) flavor symmetry

Contact Info

Product

Resources

About