A helpful analogy between the covalent bond and particle spectroscopy

We explain the application of a recently developed analytic continuation method to extract the electromagnetic transition form factors for the nucleon resonances (N * ) within a dynamical coupled-channel model of mesonbaryon reactions. Illustrative results of the obtained N * → γ N transition form factors, defined at the resonance pole positions on the complex energy plane, for the well-isolated P 33 and D 13 and the complicated P 11 resonances are presented. A formula was developed to give a unified representation of the effects due to the first two P 11 poles, which are near the π threshold, but are on different Riemann sheets. We also find that a simple formula, with its parameters determined in the Laurent expansions of the πN → πN and γ N → πN amplitudes, can reproduce to a very large extent the exact solutions of the considered model at energies near the real parts of the extracted resonance positions. We discuss the important differences between our approach, which is consistent with the earlier formulations of resonances, and the phenomenological approaches using the Breit-Wigner parametrization of resonant amplitudes to fit the data.

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“…Here we follow the approach of Refs. [26][27][28] and a similar formula used in extracting meson resonances [19,29].…”

Section: Resultsmentioning

confidence: 99%

Extraction of electromagnetic transition form factors for nucleon resonances within a dynamical coupled-channels model

2010

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“…The result that this resonance appears only when interaction strength parameter I 0 is greater than a critical value may be related with the use of various approximations used in this work including ignoring the annihilation effects of light quark flavors and using quadratic confinement. As for the full X(3872), our neglect of its cc component [26][27][28][29][30][31][32] may also be responsible for deviation of the parameter I 0 away from 1. If future improvements beyond our approximations are equivalent to an effective I 0 that is lesser than one, our work would imply that D0 D 0 * do not form a bound state and hence there can not be a role of D0 D 0 * molecule in the structure of X(3872).…”

Section: Results and Conclusionmentioning

confidence: 99%

“…These implications address some experimental issues of wide interest, for example understanding exotic mesons [23][24][25]. An important such state is the meson X(3872) which is now generally considered [26][27][28][29][30][31][32] as a mixture of D0 D 0 * , D + D − * and cc. Any effort to understand it, thus, should understand quantities depending upon its components.…”

Section: Introductionmentioning

confidence: 99%

$\bar{D}^{0}D^{0}$ $(D^{0}\bar{D}^{0})$ System in QCD-Improved Many Body Potential

Jamil,

Masud,

Akram

et al. 2011

Preprint

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For a system of current interest (composed of charm, anticharm quarks and a pair of light ones), we show trends in phenomenological implications of QCD-based improvements to a simple quark model treatment. We employ resonating group method to render this difficult four-body problem manageable. We use a quadratic confinement so as to be able to improve beyond the Born approximation. We report the position of the pole corresponding to D0 D 0 * molecule for the best fit of a model parameter to the relevant QCD simulations. We point out the interesting possibility that the pole can be shifted to 3872 MeV by introducing another parameter I 0 that changes the strength of the interaction in this one component of X(3872). The revised value of this second parameter can guide future trends in modeling of the full exotic meson X(3872). We also report the changes with I 0 in the S-wave spin averaged cross sections for D0 D 0 * −→ ωJ/ψ and D0 D 0 * −→ ρJ/ψ. These cross sections are important regarding the study of QGP (quark gluon plasma).

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Section: Introductionmentioning

confidence: 99%

D̄ ⁰ D ⁰ * (D ⁰ D̄ ⁰ *) system in QCD-improved many body potential

et al. 2017

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For a system of current interest (composed of charm, anticharm and a pair of light quarks), we show trends in phenomenological implications of QCD-based improvements to a simple quark model treatment. We employ a resonating group method to render this difficult four-body problem manageable. We use a quadratic confinement so as to be able to improve beyond the Born approximation. We report the position of the pole corresponding to the D0 D 0 * molecule for the best fit of a model parameter to the relevant QCD simulations. We point out the interesting possibility that the pole can be shifted to 3872 MeV by introducing another parameter I0 that changes the strength of the interaction in this one component of X( 3872). The revised value of this second parameter can guide future trends in modeling of the full exotic meson X(3872). We also report the changes with I0 in the S-wave spin averaged cross sections for D0 D 0 * −→ ωJ/ψ and D0 D 0 * −→ ρJ/ψ. These cross sections are important regarding the study of QGP (quark gluon plasma).

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A helpful analogy between the covalent bond and particle spectroscopy

Cited by 6 publications

References 76 publications

Extraction of electromagnetic transition form factors for nucleon resonances within a dynamical coupled-channels model

Extraction of electromagnetic transition form factors for nucleon resonances within a dynamical coupled-channels model

$\bar{D}^{0}D^{0}$ $(D^{0}\bar{D}^{0})$ System in QCD-Improved Many Body Potential

D̄ ⁰ D ⁰ * (D ⁰ D̄ ⁰ *) system in QCD-improved many body potential

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A helpful analogy between the covalent bond and particle spectroscopy

Cited by 6 publications

References 76 publications

Extraction of electromagnetic transition form factors for nucleon resonances within a dynamical coupled-channels model

Extraction of electromagnetic transition form factors for nucleon resonances within a dynamical coupled-channels model

$\bar{D}^{0}D^{0*}$ $(D^{0}\bar{D}^{0*})$ System in QCD-Improved Many Body Potential

D̄ 0 D 0 * (D 0 D̄ 0 *) system in QCD-improved many body potential

Contact Info

Product

Resources

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$\bar{D}^{0}D^{0}$ $(D^{0}\bar{D}^{0})$ System in QCD-Improved Many Body Potential

D̄ ⁰ D ⁰ * (D ⁰ D̄ ⁰ *) system in QCD-improved many body potential