Spectrum-generating algebra for stringlike mesons: Mass formula for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>q</mml:mi><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>¯</mml:mi></mml:mrow></mml:mover></mml:mrow></mml:mrow></mml:math>mesons

Iachello, F.; Mukhopadhyay, Nimai C.; Zhang, L.

doi:10.1103/physrevd.44.898

Cited by 87 publications

(86 citation statements)

References 35 publications

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“…[35] achieves a satisfactory description of the experimental masses for both singlet and triplet S-wave mesons, with a natural explanation of the ''Iachello-Anisovitch law'' [36,37], namely, the almost linear relation between the square mass of the excited states and the radial quantum number n. Since the model does not include the mixing between isoscalar and isovector mesons, in this paper we include only the contributions of the isovector -like vector mesons.…”

Section: Physical Review D 73 074013 (2006)mentioning

confidence: 99%

“…The simplified version of DE MELO et al PHYSICAL REVIEW D 73, 074013 (2006) the model that we are going to use [35] includes confinement through a harmonic oscillator potential. The model showed a universal and satisfactory description of the experimental values of the masses of both singlet and triplet S-wave mesons and the corresponding radial excitations [35], giving a natural explanation of the almost linear relationship between the mass squared of excited states and the radial quantum number n [36,37]. Therefore such a relativistic model, that retains the main feature of the spectra and at the same time allows one to perform simple numerical calculations, will be adopted for both pseudoscalar and vector mesons.…”

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confidence: 99%

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Spacelike and timelike pion electromagnetic form factor and Fock state components within the light-front dynamics

et al. 2006

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The simultaneous investigation of the pion electromagnetic form factor in the space-and timelike regions within a light-front model allows one to address the issue of nonvalence components of the pion and photon wave functions. Our relativistic approach is based on a microscopic vector-meson-dominance model for the dressed vertex where a photon decays in a quark-antiquark pair, and on a simple parametrization for the emission or absorption of a pion by a quark. The results show an excellent agreement in the space like region up to ÿ10 GeV=c 2 , while in timelike region the model produces reasonable results up to 10 GeV=c 2 .

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Section: Physical Review D 73 074013 (2006)mentioning

confidence: 99%

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confidence: 99%

Spacelike and timelike pion electromagnetic form factor and Fock state components within the light-front dynamics

et al. 2006

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“…Similarly, the U (4) vibron model was proposed to describe the dynamics of the ν = 3 dipole degrees of freedom of the relative motion of two objects, e.g. two atoms in a diatomic molecule [2], two clusters in a nuclear cluster model [3], or a quark and antiquark in a meson [4]. An application to the threebody system involves the six degrees of freedom of two relative vectors which in the algebraic approach leads to a U (7) spectrum generating algebra [5] as an extension of the vibron model.…”

Section: Introductionmentioning

confidence: 99%

Spectrum generating algebras for few-body systems

Bijker

2012

J. Phys.: Conf. Ser.

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Abstract. I discuss an algebraic treatment of few-body systems based on spectrum generating algebras for the relative motion of the clusters. Particular attention is paid to the formalism for identical clusters including a discussion of the permutation symmetry and a study of special solutions which are shown to correspond to the harmonic oscillator, the deformed oscillator, the oblate symmetric top and the spherical top with tetrahedral symmetry. IntroductionAlgebraic models and spectrum generating algebras have played an important role in the study of both many-body and few-body systems. Generally speaking, in algebraic models energy eigenvalues and eigenvectors are obtained by diagonalizing a finite-dimensional matrix, rather than by solving a set of coupled differential equations in coordinate space. The benefits and merits of this type of models are illustrated beautifully by the interacting boson model (IBM), which has been very successful in the description of collective states in nuclei [1]. Its dynamical symmetries correspond to the quadrupole vibrator, the axially symmetric rotor and the γ-unstable rotor in a geometric description. In addition to these special solutions, the IBM can describe intermediate cases between any of them equally well. The first extension of the algebraic approach to few-body systems was the vibron model [2], which was introduced to describe vibrational and rotational excitations in diatomic molecules. The dynamical symmetries of the vibron model correspond to the (an)harmonic oscillator and the Morse oscillator. In spectroscopic studies these algebraic methods provide a powerful tool to study symmetries and selection rules, to classify the basis states, and to calculate matrix elements of physical observables.The general procedure is to introduce a U (ν + 1) spectrum generating algebra for a boundstate problem with ν degrees of freedom in which all states are assigned to the symmetric representation [N ] of U (ν + 1). For the ν = 5 quadrupole degrees of freedom in collective nuclei this led to the introduction of the U (6) interacting boson model [1]. Similarly, the U (4) vibron model was proposed to describe the dynamics of the ν = 3 dipole degrees of freedom of the relative motion of two objects, e.g. two atoms in a diatomic molecule [2], two clusters in a nuclear cluster model [3], or a quark and antiquark in a meson [4]. An application to the threebody system involves the six degrees of freedom of two relative vectors which in the algebraic approach leads to a U (7) spectrum generating algebra [5] as an extension of the vibron model. The U (7) model was developed originally to describe the relative motion of the three constituent quarks in baryons [5], but has also found applications in molecular physics [6,7] and nuclear physics ( 12 C as a cluster of three α particles) [8].

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“…Equation (4) can be applied to different kinds of hadrons with an arbitrary number of constituents, considering different values for ∆ 0 and the right value for β depending on the spin, and in general we take A ∼ 1.1GeV 2 , which can be considered approximately universal for all trajectories [10].…”

Section: Some Hadronic Spectrummentioning

confidence: 99%