Nuclear Interaction of Core Region

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In the former half of the paper, the singlet S phase shift ^<1>δ_0 is calculated by assuming a nuclear potential with a soft core of the Yukawa shape, the Gaussian shape, or the modified Gaussian shape exp {-(κx)^4} surrounded by an attractive well with the one-pionexchange tail. It is shown that the short-tailed soft core as the Gaussian or the modifiedGaussian shape can explain the behavior of ^<1>δ_0 up to 1 GeV while the long-tailed core such as the Yukawa shape with the range >1/M can not reproduce ^<1>δ_0 even in the energy region 0〜200 MeV. It is argued that the explanation of the origin of the soft core in terms of a vector-meson-exchange is rather unprobable. The effective radius of the soft core is found to be 0.4〜0.5/μ and the effective height a few GeV. In the latter half of the paper, it is pointed out that the nuclear interaction may have a different nature outside and inside the effective core radius, by investigating the energy dependence of the absorption coefficient versus the impact parameter. The strong repulsion at low energies and the strong absorption at tens GeV, which are characteristic to the inner part, could be regarded as a manifestation of degrees of freedom inherent in the core region. Importance of the nucleon-nucleon polarization measurement in the GeV energy region as well as the measurement of the four momentum transfer in the cosmic ray nuclear interactions are discussed in order to go one step further in clarifying the core region interaction. A hypothetical interpretation on the substantial carrier of the degrees of freedom is proposed based on an analogy with nucleus that the carrier is a many-body-system of ur-fermions. The core is interpreted as the exchange repulsion due to the antisymmetrization among the ur-fermions.
1964-08-25

Nuclear Interaction of Core Region

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