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Download Brownian movement and molecular reality by Jean Perrin PDF

By Jean Perrin

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424, 113–174 (2006) 20. : Systematics of proton emission. Phys. Rev. Lett. 96, 072501/1–4 (2006) 21. : On neutron deficient isotopes of light nuclei and the phenomena of proton and two-proton radioactivity. Nucl. Phys. 19, 482–495 (1960) 22. : Nuclear systematics of the heavy elements-II. J. Inorg. Nucl. Chem. 28, 741–761 (1966) 23. : Systematics of alpha decay half lives. Phys. Rev. C 42, 674–682 (1990) 24. : Simple relation for alpha decay half-lives. Phys. Rev. C 46, 811–814 (1992) 25. : a-Decay half-lives: empirical relations.

106). Indeed, one sees a nice linear dependence for the regions 1–4, because they contain long isotopic chains, while in the last region 5 one has not more than two isotopes/chain. This is the reason why, except for the last region 5, the reduced width decreases with respect to the fragmentation potential, according to the theoretical prediction given by Eq. 108. In this way one obtains that indeed the logarithm of the half life is of the Viola– Seaborg type log10 T1=2 ¼ c1 ðrB Þv þ c2 Vfrag ðrB Þ þ c3 ðrB ; A2 Þ; ð2:110Þ because the fragmentation potential contains the product ZDZC.

Exp½Çðq þ lpފ; 2 ð2:49Þ These are ð0Þ (c) bound states, for which jnl ¼ 0 and knl \ 0 (dark circles in Fig. 2); ð0Þ (d) antibound states with jnl ¼ 0; knl [ 0 (open circles in Fig. 2). Fig. 2 Poles of the S-matrix: bound states (dark circles), antibound states (open circles), decay states (dark squares), capture states (open squares) 3 2 1 0 -1 -2 -3 -3 -2 -1 0 1 2 3 22 2 Binary Emission Processes From Eq. 46 one also obtains dnl ¼ arctan Cnl =2 ð0Þ Enl À E ; ð2:50Þ which shows that a resonance appears when the phase shift increases as it approaches the value dnl = p/2 as a function of the energy assuming, also here, that the hard sphere phase shift is negligible.

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