Derivation of transition density from the observed 4He(e,e')4He(0+2) form factor raising the alpha-particle monopole puzzle

Abstract

Recently, the monopole transition form factor of the electron-scattering excitation of the 0+2 state (Ex=20.21 MeV) of the 4He nucleus was observed over a broad momentum transfer range (0.5 < q2 < 5.0 fm-2) with dramatically improved preision compared with older sets of data; modern nuclear forces, including those derived from the chiral effective field theory, failed to reproduce the form factor, which is called the alpha-particle monopole puzzle. To resolve this puzzle by improving the study of spatial structure of the 0+2 state, we derive in this letter a possible 0+1 --> 0+2 transition density tr(r) for r > 1 fm from the observed form factor. The shape of the transition density is significantly different from that obtained theoretically in the literature

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