Low Momentum Nucleon-Nucleon Interaction and Halo Nuclei

概要

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In summary, we have investigated a low momentum NN interaction which is obtained by integrating out the high-momentum parts of the underlying free NN potential. The KLR folded diagram approach in conjunction with the ALS iteration method are found to be very efficient in carrying out the integration. The resulting effective low-momentum potential V_low-k is confined within a cut-off momentum Λ. The deuteron binding energy and the low-energy phase shifts (up to E_lab = 2h^2Λ^2/M) of V_NN are both exactly reproduced by V_low-k. In addition the low-momentum (≤ Λ) half-on-shell T-matrix of V_NN is also preserved by V_low-k. Thus the KLR effective interaction is a unified one, in the sense that it preserves not only certain bound-state but also certain scattering-state properties of the original full-space interaction. For a cutoff momentum Λ ≈ 2 fm^-1 the decimated potential is generally smooth, and we have used it directly, without first calculating the familiar G-matrix, in a TFSM calculation of ^6He. For b_out ≈ 2.25 fm, the calculated rms radius and low lying energies are both in good agreement with experiments. Although there are large differences between various models for V_NN, the V_low-k extracted from them are remarkably close to each other, suggesting that our V_low-k is providing a probably unique low momentum effective NN potential.
理論物理学刊行会の論文
2002-12-26