A model for vector-vector-tensor meson coupling constants

Renner, B.

doi:10.1016/0550-3213(71)90182-9

Cited by 52 publications

(29 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The same experiment saw the f 2 (1270) signal, which previously was also observed by Hermes experiment at Deutsches ElektronenSynchrotron using similar methods [10]. The apparent sensitivity of moments analysis in the search for a sig-Previously, the electromagnetic processes involving tensor mesons were discribed in terms of the combined tensor meson dominance and vector meson dominance models [5,13,14], Regge inspired exchange models [15,16], or effective field theories [17,18]. None of these approaches can, however, be treated as properly tested in tensor meson photoproduction on a nucleon.…”

Section: Introductionmentioning

confidence: 83%

Tensor meson photoproduction as a final state interaction effect

Bibrzycki

Kamiński

2013

Phys. Rev. D

View full text Add to dashboard Cite

The model is presented to describe the f2(1270) meson photoproduction as a result of pionpion interactions in the final state. Treating tensor mesons as objects dynamically created due to final state interactions is a convenient and straightforward way to employ data from ππ scattering like phase shifts and inelasticities for description of (photo)production reactions while retaining proper analytical structure of amplitudes, two particle unitarity and crossing symmetry. The model presented here can provide experimentally testable quantities like differential cross sections and ππ mass distributions as well as the strengths of partial waves corresponding to various f2(1270) helicities which are essential for partial wave analyses. It can also be used to compute moments of angular distribution and spin density matrix elements where partial wave interference effects are important.PACS numbers: 13.60. Le, I. INTRODUCTIONDescription of the spectrum of resonances observed in the ππ (and KK) system and excited in photon nucleon collisions is one of the most challenging problems of hadron spectroscopy. In the diffractive region of high energies and low momentum transfers, this reaction is dominated by vector meson production generated by Pomeron exchange, and its theory is quite firm [1][2][3]. In the lower energies, the P -wave π + π − photoproduction was described in terms of the t-channel exchange of Reggeons [4,5]. Attempts have also been made to include the intermediate nucleon resonances through various s-channel and u-channel mechanisms [6][7][8]. For the photoproduction of the S-wave and D-wave resonances, the situation is not clear both experimentally and theoretically. Because of small photoproduction cross sections, they are very difficult to observe in mass distributions. So the method of choice is to analyze the interference patterns of the weak S-and D-wave amplitudes with dominant P -wave amplitude. The partial wave interference can be conveniently analyzed with moments of pion angular distribution or spin density matrix elements. Such an approach was employed in a recent analysis of the reaction γp → π + π − p performed by the CLAS group at Jefferson Laboratory, where the first observation of f 0 (980) photoproduction was reported [9]. The same experiment saw the f 2 (1270) signal, which previously was also observed by Hermes experiment at Deutsches ElektronenSynchrotron using similar methods [10]. The apparent sensitivity of moments analysis in the search for a sig- * Corresponding author.lukasz.bibrzycki@ifj.edu.pl † Corresponding author.robert.kaminski@ifj.edu.plnal of rare resonances has a reverse, however, namely, that it requires proper accounting for all relevant production mechanisms. Nevertheless this method has been successfully employed to extract the f 0 (980) and a 0 (980) from the photoproduced KK spectrum [11] and f 0 (980) from the π + π − spectrum [12]. The amplitude of f 2 (1270) photoproduction is the necessary ingredient in order to properly describe the partial wave interference pa...

show abstract

Section: Introductionmentioning

confidence: 83%

Tensor meson photoproduction as a final state interaction effect

Bibrzycki

Kamiński

2013

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…(28) The tensor meson dominance assumption together with the vector meson dominance gives [51] f f V γ = 0 and…”

Section: E F 2 Meson Exchangementioning

confidence: 99%

ρmeson photoproduction at low energies

Lee

2004

Phys. Rev. C

View full text Add to dashboard Cite

The σ-exchange and f 2 -exchange mechanisms for ρ meson photoproduction are re-examined. Then the commonly employed σ-exchange amplitude is revised by using the recent information from the analyses on the ρ → π 0 π 0 γ decay and the σN N coupling constant from Bonn potential. Instead of relying on the Pomeron-f proportionality assumption, the f 2 meson exchange amplitude is established from an effective Lagrangian which is constructed from the tensor structure of the f 2 meson. Phenomenological information together with tensor meson dominance and vector meson dominance assumptions are used to estimate the f 2 coupling constants. As a first step to improve the current theoretical models, we have also explored the effects due to the un-correlated 2π exchange amplitude with πN intermediate state. This leading-order 2π exchange amplitude can be calculated using the coupling constants determined from the study of pion photoproduction and the empirical width of ρ → ππ decay. In comparing with the existing differential cross section data, we find that a model with the constructed 2π, σ, and f 2 exchanges is comparable to the commonly used σ exchange model in which the σ coupling parameters are simply adjusted to fit the experimental data. We suggest that experimental verifications of the predicted single and double spin asymmetries in the small |t| (< 2 GeV 2 ) region will be useful for distinguishing the two models and improving our understanding of the non-resonant amplitude of ρ photoproduction. Possible further improvements of the model are discussed.

show abstract

“…This coupling is used to fix the universal coupling constant of the tensor meson, which then determines the f 2 -nucleon and f 2 -vector-meson coupling constants through the tensor meson dominance [21,31,32,33].…”

Section: B Intermediate Tensor Mesonmentioning

confidence: 99%

Higher meson resonances inρ→π0π0γ
Oh
¹
,
Kim
²

2003
Phys. Rev. D
10
3
2
0
View full text Add to dashboard Cite

The role of higher meson resonances with spin 1 and 2 is investigated quantitatively in the decay processes of ρ → π 0 π 0 γ and ω → π 0 π 0 γ. Among the higher resonances, we find that the f 2 (1270) tensor meson can give a nontrivial contribution especially to the ω → π 0 π 0 γ decay process. When the f 2 contribution is combined with the processes involving the vector and scalar meson intermediate states, a good agreement with the recent measurements is achieved for both decays. The effect of the f 2 (1270) is found to be sizable at the intermediate photon energies and may be verified by precise measurements of the recoil photon spectrum of the ω → π 0 π 0 γ decay. The dependence of the decay widths on various models for the ρ-ω mixing in the literature is also investigated.

show abstract

A model for vector-vector-tensor meson coupling constants

Cited by 52 publications

References 3 publications

Tensor meson photoproduction as a final state interaction effect

Tensor meson photoproduction as a final state interaction effect

ρmeson photoproduction at low energies

Higher meson resonances inρ→π0π0γ
Oh
¹
,
Kim
²

2003
Phys. Rev. D
10
3
2
0
View full text Add to dashboard Cite

Contact Info

Product

Resources

About

A model for vector-vector-tensor meson coupling constants

Cited by 52 publications

References 3 publications

Tensor meson photoproduction as a final state interaction effect

Tensor meson photoproduction as a final state interaction effect

ρmeson photoproduction at low energies

Higher meson resonances inρ→π0π0γOh1, Kim2 2003Phys. Rev. D10320View full textAdd to dashboardCite

Contact Info

Product

Resources

About

Higher meson resonances inρ→π0π0γ
Oh
¹
,
Kim
²

2003
Phys. Rev. D
10
3
2
0
View full text Add to dashboard Cite