2024-03-29T06:39:53Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/695902022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Scaling limit for a generalization of the Nelson model and its application to nuclear physicsSuzuki, Akitoscaling limitweak coupling limitGSB modelNelson modeleffective potentialisospinnuclear force410We study a mathematically rigorous derivation of a quantum mechanical Hamiltonian in a general framework. We derive such a Hamiltonian by taking a scaling limit for a generalization of the Nelson model, which is an abstract interaction model between particles and a Bose field with some internal degrees of freedom. Applying it to a model for the field of the nuclear force with an isospin, we obtain a Schrödinger Hamiltonian with a matrix valued potential, describing an effective interaction between nucleons.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69590info:doi/10.14943/83932https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69590/1/pre782.pdfHokkaido University Preprint Series in Mathematics7821242006-04-10engpublisher