<p> The binding energy B of a A-particle in infinite nuclear matter has been estimated to be about 30 MeV by extrapolating the observed binding energies of hypernuclei. On the other hand, theoretical estimates so far done by various methods are generally much larger than 30 MeV. Various reasons for this descrepancy have been considered. We estimate the effect of the A-E conversion as one of the effects removing that descrepancy. In order to take account of the A-E conversion explicitly, it is convenient to use the so-called two-channel formalism. We calculate the binding energy B in the two-channel formalism (TCF) as well as in the more conventional one-channel formalism (OCF). It is found that B in the TCF can be substantially smaller than in the OCF. The difference of the values of B in the two formalisms is interpreted as due to the Pauli principle which suppresses the A-E conversion in nuclear matter. The relation between this effect in the TCF and three-bodyANN forces in the OCF is clarified. </p> / Thesis / Master of Science (MSc)

京都大学 / 0048 / 新制・課程博士 / 博士(理学) / 甲第18071号 / 理博第3949号 / 新制||理||1569(附属図書館) / 30929 / 京都大学大学院理学研究科物理学・宇宙物理学専攻 / (主査)教授 永江 知文, 准教授 成木 恵, 教授 鶴 剛 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DGAM

京都大学 / 新制・課程博士 / 博士(理学) / 甲第23701号 / 理博第4791号 / 新制||理||1686(附属図書館) / 京都大学大学院理学研究科物理学・宇宙物理学専攻 / (主査)教授 永江 知文, 准教授 成木 恵, 教授 中家 剛 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DFAM

<p> Variational calculations for hypernuclei and their corresponding nuclear cores have been performed with phenornenological effective Ʌ -N and N-N interactions. Effects of deformation and Majorana exchange on the Ʌ binding energies have been studied. The influence of density dependence in both the Ʌ-N and N-N force has been investigated . The three-body ɅNN interaction has also been considered qualitatively. All these effects help to reduce the Ʌ binding energies in hypernuclei. </p> <p> In addition to the variational calculations, the rigid alpha model has been used to determine the Ʌ binding energy in (5 Ʌ - He). A comparison of the methods is given. </p> Finally, excited states of some hypernuclei have been calculated using the variational ground state equilibrium size. </p> / Thesis / Doctor of Philosophy (PhD)

A two-dimensional integrodi erential equation resulting from the use of potential harmonics expansion in the many-body Schr odinger equation is used to study ground-state properties of selected few-body nuclear systems. The equation takes into account twobody correlations in the system and is applicable to few- and many-body systems. The formulation of the equation involves the use of the Jacobi coordinates to de ne relevant global coordinates as well as the elimination of center-of-mass dependence. The form of the equation does not depend on the size of the system. Therefore, only the interaction potential is required as input. Di erent nucleon-nucleon potentials and hyperon-nucleon potentials are employed to construct the Hamiltonian of the systems. The results obtained are in good agreement with those obtained using other methods. / Physics

A two-dimensional integrodi erential equation resulting from the use of potential harmonics expansion in the many-body Schr odinger equation is used to study ground-state properties of selected few-body nuclear systems. The equation takes into account twobody correlations in the system and is applicable to few- and many-body systems. The formulation of the equation involves the use of the Jacobi coordinates to de ne relevant global coordinates as well as the elimination of center-of-mass dependence. The form of the equation does not depend on the size of the system. Therefore, only the interaction potential is required as input. Di erent nucleon-nucleon potentials and hyperon-nucleon potentials are employed to construct the Hamiltonian of the systems. The results obtained are in good agreement with those obtained using other methods. / Physics / M.Sc. (Physics)