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Possible retardation effects of quark confinement on the meson spectrum
High Energy Physics - Phenomenology · Submitted 12 Mar 1996
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The notorious problem of narrow level spacings is found to be remedied by taking into consideration the retardation effect of scalar confinement.
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The abstract, sentence by sentence
The reduced Bethe-Salpeter equation with scalar confinement and vector gluon exchange is applied to quark-antiquark bound states. The so called intrinsic flaw of Salpeter equation with static scalar confinement is investigated. The notorious problem of narrow level spacings is found to be remedied by taking into consideration the retardation effect of scalar confinement. Good fit for the mass spectrum of both heavy and light quarkomium states is then obtained.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The reduced Bethe-Salpeter equation with scalar confinement and vector gluon exchange is applied to quark-antiquark bound states. | method 0.94 | 0.81 | 0.04 | asserted 0.96 |
| s1 | The so called intrinsic flaw of Salpeter equation with static scalar confinement is investigated. | contribution 0.53 | 0.52 | 0.04 | asserted 0.80 |
| s2 | The notorious problem of narrow level spacings is found to be remedied by taking into consideration the retardation effect of scalar confinement. | result 0.98 | 0.88 | 0.72 | asserted 1.00 |
| s3 | Good fit for the mass spectrum of both heavy and light quarkomium states is then obtained. | result 1.00 | 0.88 | 0.47 | asserted 1.00 |
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The paper
Original abstract
The reduced Bethe-Salpeter equation with scalar confinement and vector gluon exchange is applied to quark-antiquark bound states. The so called intrinsic flaw of Salpeter equation with static scalar confinement is investigated. The notorious problem of narrow level spacings is found to be remedied by taking into consideration the retardation effect of scalar confinement. Good fit for the mass spectrum of both heavy and light quarkomium states is then obtained.
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How the literature uses it
2 arXiv papers cite this in 3 sentences
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Uses its method or tool 1 paper
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Besides, the retardation effects are considered as a perturbation term and incorporated by making the replacement $s⃗ ^2→s⃗ ^2-(s^0)^2$ in the interaction kernel, where $s^0$ is further expressed by its on-shell value by assuming the quarks (anti-quarks) are on their mass shells [ref] .
Mixing angle and decay constants of $J^P=1^+$ heavy-light mesons · Numerical results and discussions · 0.99
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