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Description of α-decay of heavy and superheavy nuclei A. Sobiczewski and A. Parkhomenko Sołtan Institute for Nuclear Studies, Warsaw XII Nuclear Physics Workshop Kazimierz Dolny, Sept. 21-25, 2005 Program 1. Introduction 2. Description of Q α 3. Formula for T α 4. Description of T α 5. Conclusions
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NucleiN MeV rms MeV e-e610.190.27 o-e450.270.36 e-o550.260.36 o-o400.330.43 Table 1 Z = 84 -111 N = 128 -161 (201 nuclei)
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Phenomenological formula for T α log 10 T α (Z,N) = a Z (Q α - E) -1/2 + b Z + c a = 1.5372 b = 0.1607 c = 36.573
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Nuclein rmsnp e-e610.130.161.330 o-e450.320.412.110.113 e-o550.510.603.210.171 o-o400.600.724.000.284 Table 2 Z = 84 -111 N = 128 -161 (201 nuclei)
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Nuclein rmsnp e-e610.710.955.130 o-e451.091.4312.310.113 e-o551.041.3511.010.171 o-o401.241.5717.400.284 Table 3 Z = 84 -111 N = 128 -161 (201 nuclei)
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5. Conclusions 1) Macro-micro calculations describe Q α of heaviest nuclei with an average accuracy of about 200 keV (e-e nuclei) to 300 keV (o-o nuclei). 2) With a simple (5-parameter) phenomenological formula, one can reasonably desribe T α of heavy and superheavy nuclei (within approximately a factor of 1.3, 2, 3 and 4 for e-e, o-e, e-o and o-o, respectively). 3) To the total inaccuracy of calculated T α, the inaccuracy Q α contributes importantly. Due to this, the above factor increases to about 5, 12, 11 and 17, respectively, i.e. by about a factor of 4 to 5. 4) Effects of shell structure of nuclei on T α are large and well seen in its systematics, for both deformed and spherical nuclei.
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