Abstract

A formalism for total set of spin observables of the reaction pd → 3 Heη derived in a model independent way is presented and a possibility to perform a complete polarization experiment is investigated. Separation of s- and p-wave amplitudes of this reaction in the threshold region allows one to determine a position of the quasibound pole in the 3 He − η system. It is shown that in order to get such a separation one should measure spin-transfer coefficients in addition to analyzing powers and spin-correlations. 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 − η pole position and this allows one to determine whether the 3 He − η state is quasi-bound or anti-bound.

Highlights

  • Strong enhancement of the cross section of the reaction pd → 3Heη observed near the threshold [1,2] is considered as a final state interaction effect arising due to presence of a quasi-bound 3He − η state [3]

  • Given by products of one s- and one p-wave amplitudes, are found. Measurement of these observables will provide new independent information on the 3He − η pole position and this allows one to determine whether the 3He − η state is quasi-bound or anti-bound

  • Assuming that s-wave transistion amplitudes of the reaction pd → 3Heη contain the 3He − η pole, whereas the pwave amplitudes have non-pole dependence, one should expect that knowledge of energy dependence of the s-wave amplitudes near the threshold could allow one to determine the signs of the real and imaginary parts of the pole point in the complex momentum plane

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Summary

Introduction

Strong enhancement of the cross section of the reaction pd → 3Heη observed near the threshold [1,2] is considered as a final state interaction effect arising due to presence of a quasi-bound 3He − η state [3]. This asumption is supported by the calculation of the cross section of this reaction within a two-step model [4,5,6]. [13] to measure few specific spin observables which could provide new independent information on the position of the quasi-bound pole. In this talk I will focus mainly on these specific spin observables

The transition matrix element
Observables
Collinear kinematics
Four spin amplitudes
Five spin amplitudes
Full set of spin amplitudes
Specific spin observables
Conclusion
Full Text
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