RECORD
Phenomenological study on the significance of the scalar potential and Lamb shift
High Energy Physics - Phenomenology · Submitted 21 Nov 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim But the situation may be different for QCD, one reason is that the loop effects are more significant because $\alpha_s$ is much larger than $\alpha$, and secondly the non-perturbative QCD effects may induce the scalar potential.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We indicated in our previous work that for QED the contributions of the scalar potential which appears at the loop level is much smaller than that of the vector potential and in fact negligible. But the situation may be different for QCD, one reason is that the loop effects are more significant because $\alpha_s$ is much larger than $\alpha$, and secondly the non-perturbative QCD effects may induce the scalar potential. In this work, we phenomenologically study the contribution of the scalar potential to the spectra of charmonia. Taking into account both vector and scalar potentials, by fitting the well measured charmonia spectra, we re-fix the relevant parameters and test them by calculating other states of the charmonia family. We also consider the role of the Lamb shift and present the numerical results with and without involving the Lamb shift.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We indicated in our previous work that for QED the contributions of the scalar potential which appears at the loop level is much smaller than that of the vector potential and in fact negligible. | background 0.99 | 0.26 | 0.06 | asserted 0.76 |
| s1 | But the situation may be different for QCD, one reason is that the loop effects are more significant because $\alpha_s$ is much larger than $\alpha$, and secondly the non-perturbative QCD effects may induce the scalar potential. | background 0.57 | 0.10 | 0.06 | hedged possibility 1.00 |
| s2 | In this work, we phenomenologically study the contribution of the scalar potential to the spectra of charmonia. | contribution 1.00 | 0.88 | 0.05 | asserted 0.76 |
| s3 | Taking into account both vector and scalar potentials, by fitting the well measured charmonia spectra, we re-fix the relevant parameters and test them by calculating other states of the charmonia family. | method 0.96 | 0.95 | 0.09 | asserted 0.96 |
| s4 | We also consider the role of the Lamb shift and present the numerical results with and without involving the Lamb shift. | contribution 0.74 | 0.92 | 0.06 | asserted 0.93 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We indicated in our previous work that for QED the contributions of the scalar potential which appears at the loop level is much smaller than that of the vector potential and in fact negligible. But the situation may be different for QCD, one reason is that the loop effects are more significant because $\alpha_s$ is much larger than $\alpha$, and secondly the non-perturbative QCD effects may induce the scalar potential. In this work, we phenomenologically study the contribution of the scalar potential to the spectra of charmonia. Taking into account both vector and scalar potentials, by fitting the well measured charmonia spectra, we re-fix the relevant parameters and test them by calculating other states of the charmonia family. We also consider the role of the Lamb shift and present the numerical results with and without involving the Lamb shift.
Human review
How the literature uses it
1 arXiv paper cite this in 5 sentences
Papers citing it · 4 sentences without a confident label
Compares with it 1 paper
-
For readers' convenience and a clear comparison, we also list the results for the charmonia which were obtained in our previous work [ref] .
Re-study on the contribution of scalar potential and spectra of $c\bar c$, $b\bar b$ and $b\bar c(\bar b c)$ families · The Energy Gap Function for The $bb̅$ bottomonia and The numerical Results without taking into account the Lamb shift · 0.96
What it cites · 12 sentences without a confident label
Uses the method or tool of 2 papers
-
The radial equation ([ref]) can be solved in terms of the method called “ the iterative numerical process “ which is introduced in literatures, (for example, see [ref] ).
Solving the radial Dirac equations: a numerical odyssey · The Energy Gap Function Of The $cc̅$ charmonia and The numerical Results · 0.99
-
The scheme of renormalization is suggested by Pineda et al. [ref] .
Rigourous QCD Evaluation of Spectrum and Ground State Properties of Heavy Quarkonium Systems; with a Precision Determination of the bottom quark mass and of the eta-b mass · The mass spectrum as the Lamb shift is taken into account · 0.97
Uses data or values from 3 papers
-
All the constants as $a_1$, $a_2$, $b_1$, $β_i (i=1,2,3)$ are given in Ref. [ref] (also see [ref] ).
Rigourous QCD Evaluation of Spectrum and Ground State Properties of Heavy Quarkonium Systems; with a Precision Determination of the bottom quark mass and of the eta-b mass · The mass spectrum as the Lamb shift is taken into account · 0.91
-
All the constants as $a_1$, $a_2$, $b_1$, $β_i (i=1,2,3)$ are given in Ref. [ref] (also see [ref] ).
The static quark-antiquark potential in QCD to three loops · The mass spectrum as the Lamb shift is taken into account · 0.91
-
All the constants as $a_1$, $a_2$, $b_1$, $β_i (i=1,2,3)$ are given in Ref. [ref] (also see [ref] ).
The static potential in QCD to two loops · The mass spectrum as the Lamb shift is taken into account · 0.91
Compares with 1 paper
-
Here we set $α_s=0.36$ and $κ=0.42$ GeV which seem somehow different from the values given in literature [ref] .
Search for $B_c(ns)$ via the $B_c(ns)\to B_c(ms)\pi^+\pi^-$ transition at LHCb and $Z_0$ factory · The Energy Gap Function Of The $cc̅$ charmonia and The numerical Results · 0.96
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.