Low-energy η-nucleon interaction studied with η photoproduction off the deuteron

S. X. Nakamura, H. Kamano, T. Ishikawa

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We develop a reaction model for η photoproduction off the deuteron (γd→ηpn) and study the reaction at a special kinematics, where the photon beam energy is ∼0.94 GeV and the scattered proton is detected at ∼0°, for the purpose of determining the η-nucleon scattering length (aηN) and effective range (rηN). In this kinematics, the η-nucleon elastic rescattering is significantly enhanced while other background mechanisms are suppressed. We show that a ratio R, the γd→ηpn cross section divided by the γp→ηp cross section convoluted with the proton momentum distribution in the deuteron, has a very good resolving power of aηN and rηN. We conclude that the R data with 5% error, binned in 1 MeV width of the η-neutron invariant mass, can determine Re[aηN] (Re[rηN]) at the precision of ∼±0.1 fm (∼±0.5 fm), significantly narrowing down the previously estimated ranges of the parameters. To arrive at the conclusion, it is essential to use the γd→ηpn reaction model equipped with elementary amplitudes that are well constrained by πN and γN reaction data through a sophisticated coupled-channel analysis. This result strongly motivates the Research Center for Electron Photon Science (ELPH) at Tohoku University to measure R.

Original languageEnglish
Article number042201
JournalPhysical Review C
Volume96
Issue number4
DOIs
Publication statusPublished - 2017 Oct 26

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Fingerprint Dive into the research topics of 'Low-energy η-nucleon interaction studied with η photoproduction off the deuteron'. Together they form a unique fingerprint.

  • Cite this