Correlations between total cross sections and slopes

Martini, A. F.; Menon, M. J.; Montanha, J.

doi:10.1590/s0103-97332004000200025

Cited by 3 publications

(9 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…3 and show that, in fact, Eq. ( 16) is very close to the approximate bound (13). Up to our knowledge, the only rigorous result indicating a constant asymptotic value for this ratio appears in the recent formal analysis by Azimov, on boundary values for the physical cross section and slope [27].…”

Section: Analytical Parametrization and Fit Resultssupporting

confidence: 71%

“…which is very close to the approximate bound (13). However, the main ingredient in this result is the possibility to investigate the behavior of σ tot (s)/B(s) from formal and experimental information on the ratio σ el (s)/σ tot (s), as discussed in what follows.…”

Section: Iii2 Experimental Resultssupporting

confidence: 60%

“…We shall return to this point in what follows. It may be interesting to note that these information allow us to derive bound (13) from ( 12) under different assumptions, as shown in Appendix A.…”

Section: Iii2 Experimental Resultsmentioning

confidence: 99%

“…namely the unknown correlation between σ tot and B in terms of energy. Although some analytical connections have already been investigated from fits to the experimental data [13], the statistical and systematic errors in both quantities and the model dependencies involved put limits on these results.…”

Section: Physical Quantities and The Glauber Formalismmentioning

confidence: 99%

See 3 more Smart Citations

Total hadronic cross section and the elastic slope: An almost model-independent connection

Fagundes

Menon

2012

Nuclear Physics A

View full text Add to dashboard Cite

An almost model-independent parametrization for the ratio of the total cross section to the elastic slope, as function of the center of mass energy, is introduced. The analytical result is based on the approximate relation of this quantity with the ratio R of the elastic to total cross section and empirical fits to the R data from proton-proton scattering above 10 GeV, under the conditions of asymptotic unitarity and the black-disk limit. This parametrization may be useful in studies of extensive air showers and the determination of the proton-proton total cross section from proton-air production cross section in cosmic-ray experiments.PACS numbers: 13.85.-t, 13.85.TpTo be published in Nuclear Physics A

show abstract

Section: Analytical Parametrization and Fit Resultssupporting

confidence: 71%

Section: Iii2 Experimental Resultssupporting

confidence: 60%

Section: Iii2 Experimental Resultsmentioning

confidence: 99%

Section: Physical Quantities and The Glauber Formalismmentioning

confidence: 99%

See 2 more Smart Citations

Total hadronic cross section and the elastic slope: An almost model-independent connection

Fagundes

Menon

2012

Nuclear Physics A

View full text Add to dashboard Cite

show abstract

“…We conclude that if this measurement is correct and represents an hadronic quantity, its high value may indicate a "break" in the slope near 0.02 Figure 13. Total cross sections in terms of the slope, and the parametrization (38) [28].…”

Section: Total Cross Sections and Slopesmentioning

confidence: 99%

Topics on high-energy elastic hadron scattering

Menon¹

2005

Braz. J. Phys.

Self Cite

View full text Add to dashboard Cite

We review the main results we have obtained in the area of high-energy elastic hadron scattering and presented in this series of Workshops on Hadron Interactions. After an introduction to some basic experimental and theoretical concepts, we survey the results reached by means of four approaches: analytic models, modelindependent analyses, eikonal models and nonperturbative QCD. Some of the ongoing researches and future perspectives are also outlined.

show abstract

Aspectos analiticos, empiricos e fenomenologicos do espalhamento elastico de hadrons em altas energias

Ávila¹

View full text Add to dashboard Cite

Apresentamos um estudo amplo e abrangente do espalhamento elástico de hádrons em altas energias através de três abordagens distintas: analítica, empírica e fenomenológica.A primeira é caracterizada pelos princípios de analiticidade e cruzamento, limites polinomiais para a amplitude de espalhamento e relações de dispersão. Em especial, para classes de funções de interesse físico, introduzimos novas relações de dispersão derivativas, que são equivalentes às relações de dispersão integrais. Na segunda abordagem, decorrente do princípio de Unitaridade, tratamos a Representação Eiconal. Nesse contexto, a partir de uma parametrização empírica para a amplitude de espalhamento e um método analítico-numérico, determinamos a eiconal no espaço de momento transferido, de forma independente de modelo. Em especial, obtemos evidência estatística de que a parte imaginária da eiconal apresenta um zero (troca de sinal); as implicações desse zero no contexto fenomenológico são discutidas em certo detalhe. Na abordagem fenomenológica, através de um modelo baseado no formalismo de Regge, estudamos as contribuições do Odderon (amplitude ímpar) e Pomeron (amplitude par) no regime de altas energias. Em especial, descrevemos novos procedimentos que podem levar à detecção do Odderon nos experimentos a serem realizados com aceleradores de partículas, o "Relativistic Heavy Ion Collider"(RHIC) e "Large Hadron Collider"(LHC).

show abstract

Correlations between total cross sections and slopes

Cited by 3 publications

References 5 publications

Total hadronic cross section and the elastic slope: An almost model-independent connection

Total hadronic cross section and the elastic slope: An almost model-independent connection

Topics on high-energy elastic hadron scattering

Aspectos analiticos, empiricos e fenomenologicos do espalhamento elastico de hadrons em altas energias

Contact Info

Product

Resources

About