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Using a Schmidt orthogonalization transformation, a family of Hermitianlow-momentum NN interactions is derived from the non-Hermitian Lee-Suzuki (LS)low-momentum NN interaction. As special cases, our transformation reproducesthe Hermitian interactions for Okubo and Andreozzi. Aside from their commonpreservation of the deuteron binding energy, these Hermitian interactions areshown to be phase shift equivalent, all preserving the empirical phase shiftsup to decimation scale Lambda. Employing a solvable matrix model, the Hermitianinteractions given by different orthogonalization transformations are studied;the interactions can be very different from each other particularly when thereis a strong intruder state influence. However, because the parent LSlow-momentum NN interaction is only slightly non-Hermitian, the Hermitianlow-momentum nucleon interactions given by our transformations, including theOkubo and Andreozzi ones, are all rather similar to each other. Shell modelmatrix elements given by the LS and several Hermitian low-momentum interactionsare compared.Comment: 10 pages, 7 figure

Family of Hermitian low-momentum nucleon interactions with phase shift equivalence