Abstract

A consistent description of the dd→4Heη and dd→ (4Heη)→boundX cross sections was recently proposed with a broad range of real (V0) and imaginary (W0), η−4He optical potential parameters leading to a good agreement with the dd→4Heη data. Here we compare the predictions of the model below the η production threshold, with the WASA-at-COSY excitation functions for the dd→3HeNπ reactions to put stronger constraints on (V0,W0). The allowed parameter space (with |V0|<∼ 60 MeV and |W0|<∼7 MeV estimated at 90% CL) excludes most optical model predictions of η−4He nuclei except for some loosely bound narrow states.

Highlights

  • We performed an analysis in order to constrain the η−4He optical potential parameters by comparing a recently developed theoretical model for η−4He bound state production in dd →3HeNπ reactions [6] with the experimental data collected by WASA-atCOSY [1]

  • Convoluting the theoretical cross section with experimental resolutions, we estimated the upper limits of the total cross sections for the formation of the η-mesic Helium nuclei in dd → 3HeNπ processes at a 90% confidence level

  • Comparison of the determined upper limits for the creation of η-mesic nuclei via the dd →3HeNπ processes with the cross sections obtained in Ref. [6] excludes a wide range of η−4He optical potential parameters

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Summary

Introduction

Mesic nuclei are currently one of the hottest topics in nuclear and hadronic physics, both from experimental [1,2,3,4,5] and theoretical points of view [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25]. In this article we present a comparison between this new theoretical model and experimental data collected by WASA-at-COSY in order to further constrain the range of the allowed η−4He optical potential parameters. The latter, as we shall see, narrows down the search for η-mesic helium to a region of small binding energies and widths

Theoretical model
Experimental data
Comparison between theory and data: results and discussion
Optical model predictions of η-mesic 4He
Subthreshold considerations and uncertainties
Summary and conclusions
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