The collective modes of nuclear molecules

Hess, P. O.; Greiner, Walter

doi:10.1007/bf02902566

Cited by 31 publications

(17 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(0, 0) 9 (1, 1) 32 (3, 0) 27 (0, 3) 27 (2, 2) 93 (4, 1) 85 (1, 4) 70 (3, 3) 119 (6, 0) 62 (0, 6) 39 (2, 5) 80 (5, 2) 109 (4, 4) 115 (7, 1) 78 (1, 7) 34 (3, 6) 55 (6, 3) 92 (5, 5) 61 (9, 0) 25 (0, 9) 4 (2, 8) 28 (8, 2) 66 (7, 4) 44 (4, 7) 23 (10, 1) 25 (1, 10) 2 (6, 6) 25 (3, 9) 4 (9, 3) 28 (5, 8) 3 (8, 5) 14 (12, 0) 7 (0, 12) (11, 2) 10 (7, 7) 2 (4, 10) (10, 4) 9 (9, 6) (13, 1) 2 (12, 3) 3 (11, 5) (14, 2) Table 4: Space of the 6-α-particle system, with the same observations as in Table 2. Table 5: Space of the 7-α-particle system, with the same observations as in Table 2.…”

Section: Sdmentioning

confidence: 99%

“…The α-cluster spaces are by itself useful for any theory on many α-cluster systems. In order to illustrate the application of the classification we will only apply a phenomenological and algebraic cluster model, namely the so-called Semimicroscopic Algebraic Cluster Model (SACM) [6,7], which in most cases is effective in two-cluster systems, also as an alternative to the geometric description of a two-cluster system [8,9]. Spectra, transition values and spectroscopic factors are also calculated.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Semi-microscopic construction of multi-$α$ cluster spaces

Berriel-Aguayo,

Hess

2021

Preprint

Self Cite

View full text Add to dashboard Cite

An approximate but straight forward projection method to molecular many α-particle states is proposed and the overlap to the shell model space is determined. The resulting space is in accordance with the shell model, but still contains states which are not completely symmetric under permutations of the α-particles, which is one reason to call the construction semi-microscopic. A new contribution is the construction of the 6-and 7-α-particle spaces. The errors of the method propagate toward larger number of α-particles and larger shell excitations. In order to show the effectiveness of the construction proposed, the so obtained spaces are applied, within an algebraic cluster model, to 20 Ne, 24 Mg and 28 Si, each treated as a many-α-particle system. Former results on 12 C and 16 O are resumed

show abstract

Section: Sdmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Semi-microscopic construction of multi-$α$ cluster spaces

Berriel-Aguayo,

Hess

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Following the standard procedures [8,13] the total kinetic energy (1) can be expressed as a sum of three parts, the rotational energy T rot , the internal kinetic energy T int and the Coriolis coupling T cor . In terms of the time derivatives of the Euler angles, (θ 1 ,θ 2 ,θ 3 ), specifying the rotation of the molecular frame, the classical, rotational kinetic energy reads:…”

Section: Letter To the Editormentioning

confidence: 99%

“…Recently, it has been advocated by us [1], based on the concept of the nuclear molecule [8], that for fragments emitted in binary cold fission, with almost no excitation energy, a collective vibrational spectrum will show up as a consequence of small non-axial fluctuations at scission. Such a molecular spectrum can be achieved if the interplay between the Coulomb and the repulsive nuclear core on the one hand, and the attractive nuclear part on the other, produce a pocket in the interaction potential between the fragments [9].…”

mentioning

confidence: 99%

Excitation and Radiative Efficiencies in ZnS:Mn Thin Film Electroluminescent Devices Prepared by Reactive Radio-Frequency Magnetron Sputtering

Xian¹,

Bénalloul²,

Barthou³

et al. 1994

Jpn. J. Appl. Phys.

View full text Add to dashboard Cite

Based on a recent experimental finding which may suggest the existence of a trinuclear molecular structure before the cold ternary fragmentation of 252 Cf takes place, we solved the eigenvalue problem of a certain class of vibrations which are very likely to occur in these molecules. These oscillations are the result of the joint action of rotations of the heavier fragments and the transversal vibrations of the lighter spherical cluster with respect to the fission axis. In the calculation of the interaction between the heavier fragments we took into account higher multipole deformations, including the hexadecupole one, and introduced a repulsive nuclear part to ensure the creation of a potential pocket in which a few molecular states can be accommodated. The possibility to observe the de-excitation of such states is discussed in connection with the molecular lifetime.

show abstract

“…The Semimicroscopic Algebraic Cluster Model (SACM) was proposed in [1,2] for light nuclei (see, for example, [5]), with the intend as an alternative to also describe nuclear molecules, i.e., an alegraic version of their geometrical description [3,4]. A first attempt to extend it to heavy nuclei is published in [6], using the SU (3) (pseudo-SU (3)) model [7,8].…”

Section: Introductionmentioning

confidence: 99%

A Semimicroscopic Algebraic Cluster Model for Heavy Nuclei

Hess,

Chavez-Nuñez

2021

Preprint

View full text Add to dashboard Cite

An extension of the Semimicroscopic Algebraic Cluster Model (SACM) is proposed, based on the pseudo-SU (3) model ( SU (3)). The Hamiltonian and the spectroscopic factor operator of the model are presented and a procedure of constructing the model space. Because a huge number of SU (3) irreducible representations (irrep) appear, one has to be careful in designing a practical, consistent path to reduce the Hilbert space. The concept of forbiddenness, taking into account excitations of the clusters, is introduced and applied. The applications are to two systems with a low forbiddenness, namely to 236 U → 210 Pb + 26 Ne and 224 Ra → 210 Pb + 14 C, and to 236 U → 146 Xe + 90 Sr, which appears in the fission of 236 U , which requires a large forbiddenness. Energies, electromagnetic transitions and spectroscopic factors are calculated.

show abstract

The collective modes of nuclear molecules

Cited by 31 publications

References 8 publications

Semi-microscopic construction of multi-$α$ cluster spaces

Semi-microscopic construction of multi-$α$ cluster spaces

Excitation and Radiative Efficiencies in ZnS:Mn Thin Film Electroluminescent Devices Prepared by Reactive Radio-Frequency Magnetron Sputtering

A Semimicroscopic Algebraic Cluster Model for Heavy Nuclei

Contact Info

Product

Resources

About