Spin observables of the reaction pd-3He eta and quasi-bound 3He-eta pole

Abstract

A formalism for spin observables of the reaction $pd\to {}^{3}He\eta$ is derived in a model independent way. The general case with a full set of six independent spin amplitudes is studied. Furthermore, approximations by five and four spin amplitudes are investigated in the near threshold region. This region is of great interest to search for a quasi-bound ${}^{3}He-\eta$ state, in particular, by measurement of energy dependence of relative phases of s- and p-wave amplitudes. Complete polarization experiments, allowing determination of spin amplitudes, are analyzed. It is shown that measurement of only analyzing powers and spin correlation coefficients hardly allows one to separate the s- and p-wave amplitudes, but additional measurement of polarization transfer coefficients simplifies this problem. Specific observables, given by products of one s- and one p-wave amplitudes, are found. Measurement of these observables will provide new independent information on the ${}^{3}He-\eta$ pole position.

arXiv comment16 pages, Latex. Submitted to Nuclear Physics A

References in corpus (8)

• Photoproduction of eta-mesic 3He
• Precision study of the eta-3He system using the d+p->3He+eta reaction
• Near-Threshold Production of $\eta$-Mesons
• Measurement of the dp -->3He eta reaction near threshold
• Is there an eta-3He quasi--bound state ?
• The $\eta$-3N problem with separable interactions
• Comment on 'Photoproduction of $\eta$--Mesic ${}^3$He'
• Charge symmetry breaking as a probe for the real part of eta--nucleus scattering lengths

Cited by in corpus (4)

• Absence of spin dependence in the final state interaction of the d(pol) p --> 3He eta reaction
• Search for Quasi Bound $\eta$ Mesons
• Coherent π0η photoproduction on s-shell nuclei
• Coherent pion production in proton-deuteron collisions