In search of empirical rule relating E[2.sup.+.sub.1] and B(E2; [0.sup.+.sub.1] → [2.sup.+.sub.1]) in asymmetric even-even nuclei of mass region A = 90-120

The quadrupole deformation β are extracted independently from energy and transition rates. The set of asymmetric parameters γ are obtained from energy ratio R2 (= [E.sup.+.sub.2]/[E.sup.+.sub.1]). It is observed that the set of β values evaluated from B(E2) are closer to the values of β extracted from [E.sup.+.sub.1] on considering the Grodzins empirical rule (Grodzins. Phys. Lett. 2, 88 (1962)) with uncertainty in even Mo, Ru, and Pd nuclei. The moment of inertia [I.sub.o] (= [J.sub.0]/[[??].sup.2]) generating the yrast band in these nuclei is evaluated from [E.sup.+.sub.1] using the asymmetric rotor model (Davydov and Filippov. Nucl. Phys. 8, 237 (1958)). The β γ, and [I.sub.0] values have good correlations with [N.sub.p][N.sub.n.] In addition, β and [I.sub.0] are related linearly in general. This systematic relate [E.sup.+.sub.1] B(E2; [0.sup.+.sub.1] → [2.sup.+.sub.1]) and asymmetric deformation γ that enables one to predict B(E2; [0.sup.+.sub.1] → [2.sup.+.sub.1]), the static quadrupole moment [Q.sub.0] and quadrupole deformation β of those nuclei whose only [E.sup.+.sub.1] is known. PACS Nos.: 21.10.Re, 21.60.Ev, 27.60+j. Les parametres de deformation quadripolaire β sont obtenus independamment a partir des energies et des taux de transition. Le parametre d'asymetrie γ est determine par le rapport d'energies R2 (= [E.sup.+.sub.2]/[E.sup.+.sub.1]). Nous observons que les valeurs de β obtenues des B(E2) sont plus pres des valeurs de β obtenues des [E.sup.+.sub.1] en considerant la regle empirique de Grodzins (Grodzins. Phys. Lett. 2,88 (1962)) avec une incertitude, meme dans les noyaux pairs de Mo, Ru et Pd. Le moment d'inertie [I.sub.o] (= [J.sub.0]/[[??].sup.2]) generant la bande d'yrast dans ces noyaux est evalue a partir des [E.sup.+.sub.1] en utilisant le modele du rotor asymetrique (Davydov and Filippov. Nucl. Phys. 8, 237 (1958)). Les valeurs de β, γ et [I.sub.0] sont en general bien correlees avec [N.sub.p][N.sub.n.] De plus, β et [I.sub.0] sont en general relies lineairement, ce qui relie systematiquement [E.sup.+.sub.1], B(E2; [0.sup.+.sub.1] → [2.sup.+.sub.1]) et γ. Nous pouvons alors predire le taus de transition B B(E2; [0.sup.+.sub.1] → [2.sup.+.sub.1]), le moment quadripolaire [Q.sub.0] et le parametre de deformation quadripolaire [ pour ces noyaux dont nous ne connaissons que [E.sup.+.sub.1]. [Traduit par la Redaction]
Introduction The deformation parameters, β and γ, of the collective model of Bohr and Mottelson [1] are basic descriptors of nuclear equilibrium shape and structure. In the recent past sets [...]