2014 La méthode pour calculer les taux de décroissance 03B1 en prenant pour barrière le potentiel coulombien et un potentiel non local alpha-noyau avec terme d'échange est appliquée aux isotopes 149,151Tb, 149Tbm et 153Dy. Ce calcul montre que l'intensité relative mesurée, 03BB1/03BB0, peut en grande partie être reproduite par les rapports des pénétrabilités, ce qui permet de calculer les largeurs partielles 03B421. Des calculs similaires utilisant un potentiel alpha-noyau statique donnent 03B42l ~ 03B420, en contradiction avec l'analyse des amplitudes spectroscopiques qui donne 03B421 > 03B420. Il est remarquable que cette méthode corrige dans une large mesure ce désaccord, donnant un rapport 03B421/03B420 de l'ordre de 1,1 à 2,2. On peut en conclure que les valeurs de 03B421 obtenues avec un potentiel statique sont trop faibles et que celles données dans le tableau II peuvent être utilisées, dans des limites raisonnables, pour des études de structure nucléaire. Abstract. 2014 The method of calculating alpha-decay intensities taking the barrier to be the usual Coulomb potential superposed by a non-local alpha-nucleus potential with exchange term is applied here to the fine structures of the rare-earth isotopes 149,151Tb, 149Tbm and 153 Dy. The present calculations consistently show that the measured relative intensities, 03BB1/03BB0, are largely accounted for in terms of the non-local penetrability ratios and hence the values of the reduced widths 03B421, are calculated. Similar calculations using static alpha-nucleus potential give 03B421 ~ 03B420 which is contrary to the finding, viz., 03B421 > 03B420 obtained from other sources, for example, from the studies of alpha-spectroscopic amplitudes. It is remarkable that the present method largely makes up this discrepancy giving 03B421/03B420 in the range of 1.1 to 2.2, and it is concluded that the values of 03B421 from static potential are too low and those given in table II are within reasonable limits for use in studying nuclear structures.
The wave equation of a spinless tachyon is studied in Schwarzchild space-time. In contrast to earlier approaches to the problem, it is shown that tachyonic static solutions satisfy a simple second-order linear differential equation regardless of the mass of the black hole and the mass parameter of the tachyon. Physical implication of the present approach is discussed. Using Langer modification of the WKB (Wentzel-Kramers-Brillouin) boundary condition an expression similar to the Bohr-Sommerfeld quantization condition is derived.
A b str a c t: Alpha-neutron (< -n ) final state interaction (PSI) has been investi gated in the bieak-iip of deutron by <-paiticles of 45 MeV. The line shapes piedicted by single level i?-inatiix theoiy is, in gencial, acceptable. Kffective range theory provides no better fit to the data. K eyw ords : Alplia-ncutron final state interaction, single level /^-matrix theory, effective range theoiy. P ACS N o : 35.104-s
IntroductionRecently considerable attention has been focussed on the study of alpha-dculeron interaction, both theoretically and experiinciilally, with an emphasis on fitting the data provided by kinematically complete experiments (Gaiser ct al 1988 and the references therein). Alpha-dcuteron system, being a six nucleon assembly, is of particular interest because at lc)w energies (below 't-break-up threshold) it could be treated as a simple three body system made up of a structureless oc-particle, a pioton and a neutron. Final state interactions which may be due to any one, two or all the three pairs { S N, B anerjec S R and D ivatia A S 1989 Proc. o f Few Body XII, V ancouver 1989 (to be published) Dodder D C and Gaininel J L 1952 P hys. Rev. 88 520 G aiscr N 0 , D arden S K, L uhn R C, S ch ieck H Faelz gen and Sen S 1988 P hys. R ev. C 3 8 1H9 Kuckes A F . W ilson R and Cooper P F, J r . 1961 A tm . of P hys. 15 193 O hlsen G G 1965 Nucl. In s ir . M etb. 37 240 S a gataK , Ilaia M. Takahashi N. M olobayaslii T. Takeutclii F, Soga F and Noganii Y 1977 J , P hys. Soc. J a p a n 4 2 732 W arner R F and Bercaw R W 1968 N u cl. P hys. A 1 0 9 205 W atson K M 1952 P hys. Rev. 88 1163 W ernlz C 1962 P hys. Rev. 1 28 1336
ct al 1977, Warner and Bercaw 1968). Considerable success has been achieved by the authors in fitting the line shapes of FSI peaks in theTlight of single level /{-matrix calculations. Calculations based on effective range theory has also been used fruitfully in fitting the break-up data at low energies (Dasgupta
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