Binding Energies of <4>He and <3>H in Reaction Matrix Theory
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概要
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The binding energies of <4>He and <3>H are calculated with some realistic potentials in the reaction matrix theory. The reaction matrix equation is derived from the internal Hamiltonian. The energy denominator is given after careful consideration of the difference between the total energies of the starting state and the intermediate state. The Pauli operator is treated without approximation in the two-particle scattering process in nuclei. The calculated binding energies of <4>He and <3>H with Hamada-Johnston potential are 19.5MeV and 6.3MeV, respectively. The scattering wave function is also obtained. The root mean square radii with the correlated wave functions are 1.64fm and 1.67fm for <4>He and <3>H, respectively. It is found that the contribution from tensor force in <3>E state is very large, as compared with that in nuclear matter, and it is very important in order to obtain the sufficient binding energies of light nuclei to take into account this contribution through the two-particle scattering process in nuclei. The D state mixing rations are about 14% and 8.5% for <4>He and <3>H, respectively. The various correlation energies are estimated and it is found in the case of <4>He with H-J that the hole-hole diagram contributes about 3 MeV and potential insertion in the particle states just above the Fermi surface brings about 2 MeV. It is concluded that validity of the independent pair model is confirmed very well in the lightest nuclei similarly to the case of nuclear matter.
- 理論物理学刊行会の論文
- 1972-07-25
著者
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AKAISHI Yoshinori
Department of Physics, Hokkaido University
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Akaishi Yoshinori
Department Of Physics Hokkaido University
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Nagata Sinobu
Department Of Applied Physics Faculty Of Engineering Miyazaki University
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