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Polarization observables in vector meson photoproduction  [PDF]
Michael Pichowsky,Cetin Savkli,Frank Tabakin
Physics , 1995, DOI: 10.1103/PhysRevC.53.593
Abstract: An analysis of all possible polarization observables for the case of vector meson photoproduction from a nucleon target is presented. The question of which observables are needed to determine completely the basic photoproduction amplitudes and the relationships between spin observables are addressed.
Multipole analysis of spin observables in vector meson photoproduction  [PDF]
Cetin Savkli,Frank Tabakin,Shin Nan Yang
Physics , 1995, DOI: 10.1103/PhysRevC.53.1132
Abstract: A multipole analysis of vector meson photoproduction is formulated as a generalization of the pseudoscalar meson case. Expansion of spin observables in the multipole basis and behavior of these observables near threshold and resonances are examined.
Positivity Constraints on Spin Observables in Exclusive Pseudoscalar Meson Photoproduction  [PDF]
Xavier Artru,Jean-Marc Richard,Jacques Soffer
Physics , 2006, DOI: 10.1103/PhysRevC.75.024002
Abstract: Positivity constraints have proved to be important for spin observables of exclusive reactions involving polarized initial and final particles. Attention is focused in this note on the photoproduction of pseudoscalar mesons from spin 1/2 baryons, more specifically gamma+ N -> K+ Lambda, gamma+ N -> K Sigma, for which new experimental data are becoming available.
Completeness Rules for Spin Observables in Pseudoscalar Meson Photoproduction  [PDF]
Wen-Tai Chiang,Frank Tabakin
Physics , 1996, DOI: 10.1103/PhysRevC.55.2054
Abstract: The number and type of measurements needed to ascertain the amplitudes for pseudoscalar meson photoproduction are analyzed in this paper. It is found that 8 carefully selected measurements can determine the four transversity amplitudes without discrete ambiguities. That number of measurements is one less than previously believed. We approach this problem in two distinct ways: (1) solving for the amplitude magnitudes and phases directly; and (2) using a bilinear helicity product formulation to map an algebra of measurements over to the well-known algebra of the $4\times 4$ Gamma matrices. It is shown that the latter method leads to an alternate proof that 8 carefully chosen experiments suffice for determining the transversity amplitudes completely. In addition, Fierz transformations of the Gamma matrices are used to develop useful linear and nonlinear relationships between the spin observables. These relationships not only help in finding complete sets of experiments, but also yield important constraints between the 16 observables for this reaction.
Spin Information from Vector-Meson Decay in Photoproduction  [PDF]
W. M. Kloet,Wen-Tai Chiang,Frank Tabakin
Physics , 1998, DOI: 10.1103/PhysRevC.58.1086
Abstract: For the photoproduction of vector mesons, all single and double spin observables involving vector meson two-body decays are defined consistently in the $\gamma N$ center of mass. These definitions yield a procedure for extracting physically meaningful single and double spin observables that are subject to known rules concerning their angle and energy evolution. As part of this analysis, we show that measuring the two-meson decay of a photoproduced $\rho$ or $\phi$ does not determine the vector meson's vector polarization, but only its tensor polarization. The vector meson decay into lepton pairs is also insensitive to the vector meson's vector polarization, unless one measures the spin of one of the leptons. Similar results are found for all double spin observables which involve observation of vector meson decay. To access the vector meson's vector polarization, one therefore needs to either measure the spin of the decay leptons, make an analysis of the background interference effects or relate the vector meson's vector polarization to other accessible spin observables.
Vector meson photoproduction processes near threshold  [PDF]
Yongseok Oh
Physics , 2003,
Abstract: We discuss the photoproduction processes of light vector mesons ($\rho$, $\omega$, and $\phi$) from the nucleon near threshold. We first develop a simple model based on meson exchanges which is modified by the nucleon pole terms. We then extend this model to study other physically interesting topics. As examples, we discuss the missing nucleon resonances problem in $\omega$ photoproduction and the direct $\phi NN$ coupling constant in $\phi$ photoproduction. The calculated cross sections are compared with the recent experimental data. Various spin observables are discussed, which may be measured at current photon/electron facilities such as TJNAF and SPring-8 of RCNP. Precise measurements of such quantities would provide very useful information to understand the production mechanism.
Vector Meson Photoproduction with an Effective Lagrangian in the Quark Model II: $ω$ Photoproduction  [PDF]
Qiang Zhao,Zhenping Li,C. Bennhold
Physics , 1998,
Abstract: An investigation of $\gamma p\to \omega p$ is presented in a constituent quark model approach. The sparse data in the large $t$ region where the resonances dominate is well described within the model, while the diffractive behavior in the small $t$ region requires an additional t-channel exchange. Taking into account the t-channel $\pi^0$ exchange, we find a good overall agreement with the available data with only 3 free parameters. Our study shows that the differential cross section is not sensitive to s-channel resonances, however, the polarization observables are demonstrated to be very sensitive. Thus, measuring polarization observables is the crucial part of the vector meson photoproduction program in the search for "missing" resonances.
Vector Meson Photoproduction with an Effective Lagrangian in the Quark Model  [PDF]
Qiang Zhao,Zhenping Li,C. Bennhold
Physics , 1998, DOI: 10.1103/PhysRevC.58.2393
Abstract: A quark model approach to the photoproduction of vector mesons off nucleons is proposed. Its starting point is an effective Lagrangian of the interaction between the vector meson and the quarks inside the baryon, which generates the non-diffractive s- and u- channel resonance contributions. Additional t-channel $\pi^0$ and $\sigma$ exchanges are included for the $\omega$ and $\rho^0$ production respectively to account for the large diffractive behavior in the small $t$ region as suggested by Friman and Soyeur. The numerical results are presented for the $\omega$ and $\rho$ productions in four isospin channels with the same set of parameters, and they are in good agreement with the available data not only in $\omega$ and $\rho^0$ productions but also in the charged $\rho$ productions where the additional t-channel $\sigma$ exchange does not contribute so that it provides an important test to this approach. The investigation is also extended to the $\phi$ photoproduction, and the initial results show that the non-diffractive behavior of the $\phi$ productions in the large $t$ region can be described by the s- and u- channel contributions with significantly smaller coupling constants, which is consistent with the findings in the similar studies in the QHD framework. The numerical investigation has also shown that polarization observables are essential for identifying so-called "missing resonances".
Vector meson photoproduction in the quark model  [PDF]
Q. Zhao
Physics , 2001,
Abstract: We present a quark model study of the $\omega$ meson photoproduction near threshold. With a limited number of parameters, all the data in history are reproduced. The roles played by the {\it s}- and {\it u}-channel processes (resonance excitations and nucleon pole terms), as well as the {\it t}-channel {\it natural} (Pomeron) and {\it unnatural} parity (pion) exchanges are clarified. This approach provides a framework for systematic study of vector meson photoproduction near threshold.
Vector meson photoproduction studied in its radiative decay channel  [PDF]
Qiang Zhao,J. S. Al-Khalili,P. L. Cole
Physics , 2005, DOI: 10.1103/PhysRevC.71.054004
Abstract: We provide an analysis of vector meson photoproduction in the channel of the vector meson decaying into a pseudoscalar meson plus a photon, i.e. $V\to P\gamma$. It is shown that non-trivial kinematic correlations arise from the measurement of the $P\gamma$ angular distributions in the overall c.m. system in comparison with those in the vector-meson-rest frame. In terms of the vector meson density matrix elements, the implication of such kinematic correlations in the measurement of polarization observables is discussed. For the $\omega$ meson production, due to its relatively large branching ratios for $\omega\to\pi^0\gamma$, additional events from this channel may enrich the information about the reaction mechanism and improve the statistics of the recent measurement of polarized beam asymmetries by the GRAAL Collaboration. For $\phi\to \eta\gamma$, $\rho\to \pi\gamma$, and $K^*\to K\gamma$, we expect that additional information about the spin structure of the vector meson production vertex can be derived.
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