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Title: Euclidean bridge to the relativistic constituent quark model

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 95; Journal Issue: 3; Related Information: CHORUS Timestamp: 2017-03-20 22:10:58; Journal ID: ISSN 2469-9985
American Physical Society
Country of Publication:
United States

Citation Formats

Hobbs, T. J., Alberg, Mary, and Miller, Gerald A.. Euclidean bridge to the relativistic constituent quark model. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.95.035205.
Hobbs, T. J., Alberg, Mary, & Miller, Gerald A.. Euclidean bridge to the relativistic constituent quark model. United States. doi:10.1103/PhysRevC.95.035205.
Hobbs, T. J., Alberg, Mary, and Miller, Gerald A.. Mon . "Euclidean bridge to the relativistic constituent quark model". United States. doi:10.1103/PhysRevC.95.035205.
title = {Euclidean bridge to the relativistic constituent quark model},
author = {Hobbs, T. J. and Alberg, Mary and Miller, Gerald A.},
abstractNote = {},
doi = {10.1103/PhysRevC.95.035205},
journal = {Physical Review C},
number = 3,
volume = 95,
place = {United States},
year = {Mon Mar 20 00:00:00 EDT 2017},
month = {Mon Mar 20 00:00:00 EDT 2017}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevC.95.035205

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Cited by: 2works
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  • We explore the consequences of treating the X(3872) meson as a tetraquark bound state. As dynamical framework we employ a relativistic constituent quark model which includes infrared confinement in an effective way. We calculate the decay widths of the observed channels X{yields}J/{psi}+2{pi}(3{pi}) and X{yields}D{sup 0}+D{sup 0}+{pi}{sup 0} via the intermediate off-shell states X{yields}J/{psi}+{rho}({omega}) and X{yields}D+D*. For reasonable values of the size parameter {Lambda}{sub X} of the X(3872) we find consistency with the available experimental data. We also discuss the possible impact of the X(3872) in a s-channel dominance description of the J/{psi} dissociation cross section.
  • We consider a relativistic version of the constituent-quark model which gives sharply defined and model-independent values of constituent-quark masses and gives a good fit to the ground-state 35 mesons and to the excited states of rho and K/sup */ mesons. The isospin-breaking u-d constituent-quark mass difference is determined from the mass splittings of K and K/sup */ mesons after appropriate electromagnetic corrections. The constituent-quark mass is written as the sum of a flavor-independent dynamical mass (which is determined by using the Goldstone theorem guaranteeing vanishing pseudoscalar-meson masses in the chiral limit) and a flavor-dependent part which is a function ofmore » current-quark mass. Depending on the model used, we get m/sub s//m = 6.8 to 19.1 and values of (m/sub d/-m/sub u/)/(m/sub d/+m/sub u/) which range between 0.06 and 0.11 if we consider K mesons and between 0.22 and 0.40 if we consider K/sup */ mesons.« less
  • We calculate the electroweak properties of nucleons and hyperons in a relativistic constituent quark model using the light-front formalism. The parameters of the model, namely, the constituent quark mass and the confinement scale, can be uniquely chosen for both the electromagnetic and weak experimental data. A consistent physical picture of the [ital qqq] system appears in this work with a symmetric nucleon wave function and an asymmetric hyperon wave function. Only for the strangeness-changing weak decays do we need nontrivial form factors of the constituent quark.
  • The light-cone radial wave functions of various pseudoscalar mesons are computed versus internal linear momentum taking into account the one-gluon exchange and a linear-confining potential. It is shown that high-momentum components in the wave functions sharply affect the axial-vector weak decay constant and the charge form factor. (AIP) {copyright} {ital 1995} {ital American} {ital Institute} {ital of} {ital Physics}.
  • A formalism for the relativistic description of hadron decays within the constituent quark model is presented. First, hadron amplitudes of the light-cone constituent quark model, in particular, the weak transition form factors at spacelike momentum transfers, are represented in the form of dispersion integrals over the hadron mass. Second, the form factors at timelike momentum transfers are obtained by performing the analytic continuation from the region {ital q}{sup 2}{le}0. As a result, the transition form factors both in the scattering and the decay regions are expressed through light-cone wave functions of the initial and final hadrons. The technique is appliedmore » to the description of the semileptonic decays of pseudoscalar mesons and direct calculation of the transition form factors at {ital q}{sup 2}{approx_gt}0. Meson properties in the heavy quark limit are investigated. {copyright} {ital 1996 The American Physical Society.}« less