Chapter II. The ATMS Method and the Three-Nucleon System with Realistic Potentials

The.A TMS method, which is a variational one, is explained.The wave function is constructed f~om the two-body scattering correlations on the basis of the multiple scattering theory.The triton is treated with the Hamada,-Johnston (H-J), the Tamagaki (OPEH and OPEG) and Wada and Obinata's (OBEV) potentials: The upper-bound energies are -6.00MeV for H-J, -6.59 MeV for OPEH, -6.64 MeV for OPEG and -5.91 MeV for OBEV.The kinetic energies are 66 MeV for H-J and 33 MeV for OBEV.•The tensor force in the triplet-even state has the largest contribution which' amounts to -38 MeV for H-J.The Coulomb energy of 3He is estimated.The two-body wave function is drawn out from the :wave function of the triton.The A TMS method is powerful in solving the three-nucleon problem with realistic potentials.§ 1. Introduction ~To solve a few-nucleon problem• on the basis of realistic potentials is a fruitful subject of.study in a present stage.Realistic wave functions of the triton and the .alpha particle are of great' use for investigatio~s of nuclear correlations in the system of strongly interacting nucleons.In particular, the knowledge of detailed structure of the alpha particle contributes to the develop-.ment of cluster theory of nuclei.Recently, the ATMS method, 1 > which is a variational method and named in Chapter I, has been proposed by the, present authors, by which the triton and the alpha particle can be treated on the same footing with realistic potentials.'In this-chapter, the ATMS method is explained in detail.Results for the triton are presented and at the same time the usefulness of the A TMS method is established.The realistic potentials employed are the Hamada-Johnston,(H-]),2> the Tamagaki (OPEH and OPEG)3) and Wada and Obinata's (OBEV)4) potentials.Many calculations with realistic potentials have already been made for the triton.The case of the Reid soft core potential 5 > was treated by various methods; that is, Blatt's variational one, 6 ) a variational one in harmonic Gscil-Downloaded from academic.