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Languages : en
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We study the analytic structure of light-front wave functions (LFWFs) and its consequences for hadron form factors using an explicitly Lorentz-invariant formulation of the front form. The normal to the light front is specified by a general null vector [omega][sup [mu]]. The LFWFs with definite total angular momentum are eigenstates of a kinematic angular momentum operator and satisfy all Lorentz symmetries. They are analytic functions of the invariant mass squared of the constituents M[sub 0][sup 2] = ([Sigma]k[sup [mu]])[sup 2] and the light-cone momentum fractions x[sub i] = k[sub i][omega]/p[omega] multiplied by invariants constructed from the spin matrices, polarization vectors, and [omega][sup [mu]]. These properties are illustrated using known nonperturbative eigensolutions of the Wick-Cutkosky model. We analyze the LFWFs introduced by Chung and Coester to describe static and low momentum properties of the nucleons. They correspond to the spin-locking of a quark with the spin of its parent nucleon, together with a positive-energy projection constraint. These extra constraints lead to anomalous dependence of form factors on Q rather than Q[sup 2]. In contrast, the dependence of LFWFs on M[sub 0][sup 2] implies that hadron form factors are analytic functions of Q[sup 2] in agreement with dispersion theory and perturbative QCD. We show that a model incorporating the leading-twist perturbative QCD prediction is consistent with recent data for the ratio of proton Pauli and Dirac form factors.
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Languages : en
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Book Description
We study the analytic structure of light-front wave functions (LFWFs) and its consequences for hadron form factors using an explicitly Lorentz-invariant formulation of the front form. The normal to the light front is specified by a general null vector [omega][sup [mu]]. The LFWFs with definite total angular momentum are eigenstates of a kinematic angular momentum operator and satisfy all Lorentz symmetries. They are analytic functions of the invariant mass squared of the constituents M[sub 0][sup 2] = ([Sigma]k[sup [mu]])[sup 2] and the light-cone momentum fractions x[sub i] = k[sub i][omega]/p[omega] multiplied by invariants constructed from the spin matrices, polarization vectors, and [omega][sup [mu]]. These properties are illustrated using known nonperturbative eigensolutions of the Wick-Cutkosky model. We analyze the LFWFs introduced by Chung and Coester to describe static and low momentum properties of the nucleons. They correspond to the spin-locking of a quark with the spin of its parent nucleon, together with a positive-energy projection constraint. These extra constraints lead to anomalous dependence of form factors on Q rather than Q[sup 2]. In contrast, the dependence of LFWFs on M[sub 0][sup 2] implies that hadron form factors are analytic functions of Q[sup 2] in agreement with dispersion theory and perturbative QCD. We show that a model incorporating the leading-twist perturbative QCD prediction is consistent with recent data for the ratio of proton Pauli and Dirac form factors.
Author: S. Brodsky
Publisher:
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Languages : en
Pages : 29
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Book Description
We study the analytic structure of light-front wave functions (LFWFs) and its consequences for hadron form factors using an explicitly Lorentz-invariant formulation of the front form. The normal to the light front is specified by a general null vector {omega}{sup {mu}}. The LFWFs with definite total angular momentum are eigenstates of a kinematic angular momentum operator and satisfy all Lorentz symmetries. They are analytic functions of the invariant mass squared of the constituents M{sub 0}{sup 2} = ({Sigma}k{sup {mu}}){sup 2} and the light-cone momentum fractions x{sub i} = k{sub i}{omega}/p{omega} multiplied by invariants constructed from the spin matrices, polarization vectors, and {omega}{sup {mu}}. These properties are illustrated using known nonperturbative eigensolutions of the Wick-Cutkosky model. We analyze the LFWFs introduced by Chung and Coester to describe static and low momentum properties of the nucleons. They correspond to the spin-locking of a quark with the spin of its parent nucleon, together with a positive-energy projection constraint. These extra constraints lead to anomalous dependence of form factors on Q rather than Q{sup 2}. In contrast, the dependence of LFWFs on M{sub 0}{sup 2} implies that hadron form factors are analytic functions of Q{sup 2} in agreement with dispersion theory and perturbative QCD. We show that a model incorporating the leading-twist perturbative QCD prediction is consistent with recent data for the ratio of proton Pauli and Dirac form factors.
Author: K?ichi Yamawaki
Publisher: World Scientific
ISBN: 9812384375
Category : Science
Languages : en
Pages : 444
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Book Description
Readership: Graduate students and researchers in high energy physics, particularly those interested in dynamical symmetry breaking and effective field theories.
Author: Harald Fritzsch
Publisher: World Scientific
ISBN: 981314551X
Category : Science
Languages : en
Pages : 457
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Book Description
The Standard Theory of Particle Physics describes successfully the observed strong and electroweak interactions, but it is not a final theory of physics, since many aspects are not understood: (1) How can gravity be introduced in the Standard Theory? (2) How can we understand the observed masses of the leptons and quarks as well as the flavor mixing angles? (3) Why are the masses of the neutrinos much smaller than the masses of the charged leptons? (4) Is the new boson, discovered at CERN, the Higgs boson of the Standard Theory or an excited weak boson? (5) Are there new symmetries at very high energy, e.g. a broken supersymmetry? (6) Are the leptons and quarks point-like or composite particles? (7) Are the leptons and quarks at very small distances one-dimensional objects, e.g. superstrings? This proceedings volume comprises papers written by the invited speakers discussing the many important issues of the new physics to be discovered at the Large Hadron Collider.
Author: Keisuke Fujii
Publisher: World Scientific
ISBN: 9814552283
Category :
Languages : en
Pages : 414
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Book Description
This volume presents topics in which researchers in elementary particle and nuclear physics are commonly interested: nonperturbative aspects of QCD and chiral properties of hadrons, relativistic heavy ion reactions and quark-gluon plasma, nuclear matter at high temperature/ density, lattice QCD, quark structure of hadrons and nuclei, high q2 phenomena in hadrons and nuclei, heavy quarks and weak interaction, hyperon interactions and hypernuclei, relativistic nuclear theory, recent experimentals and other topics.Speakers: A A Andrianov, H Ejiri, V N Fetisov, Y Iwasaki, C Ciofi Degli Atti, V G Kadyshevsky, D I Kazakov, R Brockmann, A P Kobushkin, C M Ko, T Humanic, S H Lee, T Matsui, Y Mizuno, Y M Musakhanov, T Morü, M Namiki, S Saito, T-A Shibata, T Suzuki, A I Titov, G M Vagradov, M K Volkov, M Oka, A V Shebeko, S N Yang, G M Zinovjev, etc.
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Category :
Languages : en
Pages : 20
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Light-Front Holography is one of the most remarkable features of the AdS/CFT correspondence. In spite of its present limitations it provides important physical insights into the nonperturbative regime of QCD and its transition to the perturbative domain. This novel framework allows hadronic amplitudes in a higher dimensional anti-de Sitter (AdS) space to be mapped to frame-independent light-front wavefunctions of hadrons in physical space-time. The model leads to an effective confining light-front QCD Hamiltonian and a single-variable light-front Schroedinger equation which determines the eigenspectrum and the light-front wavefunctions of hadrons for general spin and orbital angular momentum. The coordinate z in AdS space is uniquely identified with a Lorentz-invariant coordinate? which measures the separation of the constituents within a hadron at equal light-front time and determines the off-shell dynamics of the bound-state wavefunctions, and thus the fall-off as a function of the invariant mass of the constituents. The soft-wall holographic model modified by a positive-sign dilaton metric, leads to a remarkable one-parameter description of nonperturbative hadron dynamics - a semi-classical frame-independent first approximation to the spectra and light-front wavefunctions of meson and baryons. The model predicts a Regge spectrum of linear trajectories with the same slope in the leading orbital angular momentum L of hadrons and the radial quantum number n. The hadron eigensolutions projected on the free Fock basis provides the complete set of valence and non-valence light-front Fock state wavefunctions?{sub n/H} (x{sub i}, k{sub {perpendicular}i},?{sub i}) which describe the hadron's momentum and spin distributions needed to compute the direct measures of hadron structure at the quark and gluon level, such as elastic and transition form factors, distribution amplitudes, structure functions, generalized parton distributions and transverse momentum distributions. The effective confining potential also creates quark-antiquark pairs from the amplitude q → q{bar q}q. Thus in holographic QCD higher Fock states can have any number of extra q{bar q} pairs. We discuss the relevance of higher Fock-states for describing the detailed structure of space and time-like form factors. The AdS/QCD model can be systematically improved by using its complete orthonormal solutions to diagonalize the full QCD light-front Hamiltonian or by applying the Lippmann-Schwinger method in order to systematically include the QCD interaction terms. A new perspective on quark and gluon condensates is also obtained.
Author: I.J. Douglas MacGregor
Publisher: CRC Press
ISBN: 9781584887058
Category : Science
Languages : en
Pages : 504
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Book Description
Straddling the traditional disciplines of nuclear and particle physics, hadron physics is a vital and extremely active research area, as evidenced by a 2004 Nobel prize and new research facilities, such as that scheduled to open at CERN. Scientifically it is of vital importance in extrapolating our knowledge of quark-gluon physics at the sub-nucleon level to provide a wider perspective of strongly interacting hadrons, which make up the vast bulk of known matter in the Universe. Through detailed, pedagogical chapters contributed by key international experts, Hadron Physics maps out our contemporary knowledge of the subject. It covers both the theoretical and experimental aspects of hadron structure and properties along with a wide range of specific research topics, results, and applications. Providing a full picture of activity in the field, the book highlights three particular areas of current research: computational lattice hadron physics, the structure and dynamics of hadrons, and generalized parton distributions. It provides a solid introduction, includes background theory, and presents the current state of understanding of the subject.
Author: Feng-kun Guo
Publisher: World Scientific
ISBN: 981121932X
Category : Science
Languages : en
Pages : 800
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Book Description
This is the conference proceedings for the 18th International Conference on Hadron Spectroscopy and Structure (HADRON2019), held in Guilin, China. It is among the most important conference series in the field of hadron spectroscopy and structure. Collecting more than 130 contributions from this conference, the book spans over the topics of meson and baryon spectroscopy, exotic hadrons, hadron production and interactions, analysis tools, QCD and hadron structure, hadrons in nuclear environment and hypernuclei. Summaries of the recent discoveries from Belle, BESIII, LHCb and other high-energy experiments, as well as recent theoretical developments in the above mentioned topics, are contained in this volume, rendering it as a valuable resource for researchers working on hadron spectroscopy and structure.
Author: Vadim Guzey
Publisher: World Scientific
ISBN: 9814487600
Category : Science
Languages : en
Pages : 328
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Book Description
This volume outlines the exciting new opportunities in hadron physics which have been created by the Japan Hadron Facility (JHF), a major joint initiative between KEK and JAERI. The topics covered include unprecedented possibilities of studying strange matter, neutrino oscillations and hadron structure. The close interaction with lattice QCD is emphasised.
Author:
Publisher: World Scientific
ISBN: 9789812702845
Category :
Languages : en
Pages : 560
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Book Description
This book makes a global survey of nonperturbative aspects of quantum chromodynamics (QCD) from the viewpoints of mathematical, elementary-particle and hadron physics, including recent lattice-QCD results. It presents current, important progress in the following areas: the quark confinement mechanism, dynamical chiral-symmetry breaking, topologies in QCD (instantons, monopoles, vortices), SUSY QCD, nonperturbative methods (1/Nc, ladder QCD, AdS/CFT), QCD phase transition at finite temperature and density, quark-gluon plasma, and so on. For recent topics, the book also includes the experimental.
