Even though both experimental and theoretical activities on hypernuclear physics have been extended by a number of international projects, direct measurements on hypernuclear magnetic moments and studies of hypernuclei at extreme isospins have never been performed.The international HypHI collaboration proposes to perform hypernuclear spectroscopy with stable heavy ion beams and rare isotope beams at GSI and FAIR in order to study neutron and proton rich hypernuclei and to measure hypernuclear magnetic moments. The HypHI project is divided into four phases defined as Phase 0～3. In the first Phase 0 experiment,a feasibility of precise hypernuclear spectroscopy with heavy ion beams will be demonstrated by observing 3ΛH, 4ΛH and 5ΛHe with 6Li beams at 2 A GeV impinging on a 12C target. In according to the Monte Carlo simulations, the feasibility of the Phase 0 experiment has been already revealed. In the later Phases 1～3, studies on proton and neutron rich hypernuclei,direct measurements of hypernuclear magnetic moments and the spectroscopy of hypernuclei at nucleon drip-lines will be performed at GSI and FAIR.
GSI-Darmstadt, Helmholtz Center for Heavy Ion Research, Darmstadt, Germany;Institut für Kernphysik, GSI-Darmstadt, Helmholtz Center for Heavy Ion Research, Darmstadt, Germany Division of Electronics and Applied Physics,Osaka Electro-Communication University, Neyagawa, Japan Institut für Kernphysik, Johannes-Gutenberg Universit(a)t Mainz, Mainz, Germany Graduate School of Science, Osaka University, Toyonaka, Japan GSI-Darmstadt, Helmholtz Center for Heavy Ion Research, Darmstadt, Germany;National Taras Shevchenko GSI-Darmstadt, Helmholtz Center for Heavy Ion Research, Darmstadt, Germany;Graduate School of Scienc GSI-Darmstadt, Helmholtz Center for Heavy Ion Research, Darmstadt, Germany;Université Louis Patenr S