A Chiral-Bag Approach to Static Interaction between Two Baryons : A Numerical Study with Use of the Finite Element Method : Nuclear Physics

概要

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Static interaction between two spherical chiral bags is studied in a numerical way. In order to get the solutions of the confined quark states and the outside chiral-field which should satisfy the boundary conditions at both bag surfaces in the chiral bag model, the finite element method is utilized as numerical procedure. We extract the static interaction by calculating the energy change as the two bags approach from large separation to contact distance. Results obtained for three typical configurations indicate that such an approach is workable: We can see that the asymptotic behavior gives the OPEP-tail, and some nonperturbative effects are noticeable in the intermediate region. Although the deviation of the interaction energy from the OPEP value is not so remarkable beyond the pion Compton wavelength due to the cancellation between the energy change of the quark system and that of the chiral field, there arises a significant deviation of the quark wave function and the chiral field from those of the hedgehog solution in the single-baryon case. The procedure in numerical calculations adopted in this paper is explained in detail.
理論物理学刊行会の論文
1990-12-25