Isobaric-Spin-3/2 States and Intermediate Symmety States in Three-Body Nuclei
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概要
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The ground state wave functions of H^3 and He^3 are constructed separately by explicitly taking account of small charge asymmetry of nuclear forces and the Coulomb force between two protons in the He^3 nucleus. Charge independence is assumed for the range parameters of the nuclear force) but not for the depth parameters. It is found that: 1) The isospin T=3/2 admixture in He^3 owing to the Coulomb force alone is about 4×10^<-6> in probability. Small violation of charge independence hypothesis in actual nuclear forces (namely, the difference in n-p and p-p) induces the isospin admixture of about 5×10^<-6> in H^3 and 2×10^<-5> in He^3 if the charge symmetry is assumed. These values are not much dependent on the hard core radius and on exchange character of nuclear forces. 2) The calculated Coulomb energy of He^3 (assuming extended protons) suggests that the n-n potential will be stronger than the p-p nuclear potential in the singlet state though no more than 1% for which the isospin admixture in H^3 is about 10^<-6>. 3) The polar vector matrix element for the β-decay of H^3 is smaller than unity by only of the order of 10^<-4>. 4) The S′-state probability increases as the hard core radius increases so that a large difference between the charge form factor of H^3 and that of He^3 observed in electron scattering experiments is consistent with the hard core radius of 0.4 fm or larger. The conclusions are qualitatively correct even if any "realistic" nuclear force is used.
- 理論物理学刊行会の論文
- 1969-02-25
著者
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Ohmura Takashi
Department Of Cardiology Mie Central Medical Center
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Ohmura Takashi
Department Of Physics College Of Science And Engineering Nihon University
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OHMURA Takashi
Department of Physics, College of Science and Engineering Nihon University
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