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We investigate an interacting fermion model with boundary potential by usingBethe ansatz method. The ground state properties of the system and the boundaryeffect are discussed. It is found that attractive boundary potential leads tothe boundary bound state. An interesting phenomenon is that the sliddingcollective charges in a periodic system, which is formed due to the attractiveinteraction among the fermions, will be pinned around the boundary, as long asthe negative boundary potential is strong enough.Comment: 8 pages, revtex, no figure

Pinning of the sliding collective charge state in a one-dimensional attractive fermion system