Cluster formation in precompound nuclei in the time-dependent framework

Schuetrumpf, Bastian; Nazarewicz, W.

doi:10.1103/physrevc.96.064608

Cited by 43 publications

(54 citation statements)

References 58 publications

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“…Recently, Refs. [81][82][83][84] suggest that α-cluster structures could be important in understanding some fusion reactions of light nuclei. A combination of our formalism with an imaginary optical potential may also allow microscopic studies of these processes [85].…”

Section: Discussionmentioning

confidence: 99%

Resonant and scattering states in the α+α system from the nonlocalized cluster model

Bai

Ren

2020

Phys. Rev. C

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The non-localized cluster model provides a new perspective on nuclear cluster effects and has been applied successfully to study cluster structures in various bound states and quasi-bound states (i.e., long-lived resonant states). In this work, we extend the application scope of the non-localized cluster model further to resonant and scattering states. Following the R-matrix theory, the configuration space is divided into the interior and exterior regions by a large channel radius such that the nuclear forces and the antisymmetrization effects become negligible between clusters in the exterior region. In the interior region, the picture of non-localized clustering is realized mathematically by adopting the Brink-Tohsaki-Horiuchi-Schuck-Röpke (Brink-THSR) wave functions as the bases to construct the interior wave functions. The Bloch-Schrödinger equation is used to match the interior wave functions continuously with the asymptotic boundary conditions of the resonant and scattering states at the channel radius, which leads eventually to solutions of the problem. As a first test of the formalism, the low-lying resonant states of 8 Be and the phase shifts of the α + α elastic scattering are studied. The numerical results agree well with the experimental data, which shows the validity of the theoretical framework. *

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Section: Discussionmentioning

confidence: 99%

Resonant and scattering states in the α+α system from the nonlocalized cluster model

Bai

Ren

2020

Phys. Rev. C

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“…The "Bubble Structure" or the depletion in the central density of nucleons has attracted a lot of research interest currently especially due to the availability of the advanced experimental facilities to study the exotic nuclei. The increasing experimental [1] and theoretical efforts [2,3,4,5,6,7,8,9] in order to search and understand the bubble like structures have provided a significant amount of information on the bubble nuclei. This phenomenon of bubble is usually believed to be due to the unoccupancy of the s 1/2 -state which leads to significant reduction of the density at the center.…”

Section: Introductionmentioning

confidence: 99%

“…Sometimes, the bubble or the depletion in the central density is associated with the inversion of (2s 1/2 and 1d 3/2 ) states and (3s 1/2 and 1h 11/2 ) states [10] causing unoccupancy of s 1/2 -state. In case of heavy and superheavy nuclei [9,11,12,13,14], the appearance of the bubble structures has been attributed to the effects of electrostatic repulsion and the symmetry energy [5].…”

Section: Introductionmentioning

confidence: 99%

“…Experimental signature of empty 2s 1/2 in 34 Si using one-proton removal reaction technique, recently reported by Mutschler et al [1], has opened a testing ground for the already developed successful models and new avenues for the nuclear structure mechanisms related to the nucleonic central density depletion across the periodic chart. On the theoretical side, various models like the nuclear density functional theory [5], abinitio self consistent Green's function many-body method [4], relativistic mean-field and non-relativistic mean-field models along with shell-model [15], and the particle-number and angular-momentum projected Generator Coordinate Method based on Hartree-Fock-Bogoliubov + Lipkin-Nogami states with axial quadrupole deformation [16] etc., have been applied to study the bubble like structures. The nuclei 34 Si and 22 O are suggested to be the strong candidates for the proton and neutron bubbles, respectively.…”

Section: Introductionmentioning

confidence: 99%

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A systematic study of the factors affecting central depletion in nuclei

Saxena

Kumawat

Agrawal

et al. 2019

J. Phys. G: Nucl. Part. Phys.

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A systematic study of the central depletion of proton density has been performed in the isotonic chains of nuclei with neutron numbers N = 20 and 28 using different variants of the relativistic mean-field (RMF) models. These models include either the non-linear contributions from the mesons with the coupling constants being density independent or the non-linearity of the mesonic fields realized through the density dependent coupling strengths. The central depletion in deformed nuclei tends to disappear irrespective of the occupancy of 2s 1/2 state in contrast to the spherical nuclei in which the unoccupancy of 2s 1/2 state leads to the central depletion. Due to the differences in the strength of spin-orbit potentials in these models, the central depletions are found to be model dependent. The influence of the central depletion on the neutron-skin thickness is also investigated. It appears that the effects of the central depletion do not percolate far enough to display its finger prints on the trends of the neutron-skin thickness.

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“…4, it is already found that the width of the cross section of the torus density distributions is close to the width of an α particle used in Brink's α-cluster model. Further examination of the α-cluster structure can be performed with the α-localization function which has been widely used to explore the αcluster structure [44][45][46][47][48][49]. It is regarded as the first step to identifying α clustering, namely, the minimum necessary condition [44].…”

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confidence: 99%

Toroidal states in 28Si with covariant density functional theory in 3D lattice space

et al. 2020

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The toroidal states in 28 Si with spin extending to extremely high are investigated with the cranking covariant density functional theory on a 3D lattice. Thirteen toroidal states with spin I ranging from 0 to 56 are obtained, and their stabilities against particle emission are studied by analyzing the density distributions and potentials. The excitation energies of the toroidal states at I = 28, 36, and 44 reasonably reproduce the observed three resonances extracted from the seven-α de-excitation of 28 Si. The possible existence of α clustering in these toroidal states is discussed based on α-localization function.Most nuclei in their ground states are spherical or ellipsoidal [1]. Wheeler suggested that very heavy nuclei may have toroidal shapes due to the large Coulomb energies [2].Pioneering works along this idea have been done by Wong [3][4][5]. Based on the toroidal potential in radially displaced harmonic-oscillator model [3,4], it was found that although the toroidal states in liquid-drop model are unstable against sausage deformations, the nuclear shell effects may counterbalance with this instability [3,4]. Later on, Wong predicted that the toroidal states could be stabilized with a sufficiently high angular momentum by introducing an effective "rotation" about the symmetry axis to the toroidal states [5]. Recent investigation on shells in a toroidal nucleus in the intermediate-mass region with the toroidal potential can be found in Ref. [6].The microscopic and self-consistent nuclear energy density functional theories (DFTs) [7][8][9][10] have also been used to investigate the toroidal states in both superheavy [11][12][13][14] and light nuclei [15][16][17][18][19][20]. In particular, for the high-spin toroidal states, a toroidal state with an angular momentum of 60 along the symmetry axis in 40 Ca has been obtained with the cranking Skyrme DFT [16]. Similar high-spin toroidal states in other nuclei with 28 ≤ A ≤ 52 were also investigated in Refs. [17][18][19][20].The angular momenta of the high-spin toroidal states are not from the collective rotation about the symmetry axis, but are generated by nucleon alignments [16,17]. The alignments of nucleons violate the time-reversal symmetries and, thus, induce strong currents [16], which requires a proper treatment of the time-odd fields in the framework of DFTs. In addition, some toroidal states may contain single particles in unbound states [16,18,20]. It is therefore important to examine the stability of the toroidal states against the nucleon emission.To treat the time-odd fields and nucleon emission properly, a covariant DFT (CDFT) calculation in three-dimensional (3D) lattice space is preferred. Due to the Lorentz invariance, the CDFT provides a self-consistent treatment of the time-odd fields; the time-odd fields share the same coupling constants as the time-even ones [21]. Working in 3D lattice space makes it suitable to examine the nuclear stability against nucleon emission. Fortunately, the CDFT in 3D lattice space is available now [22][23][24] af...

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Cluster formation in precompound nuclei in the time-dependent framework

Cited by 43 publications

References 58 publications

Resonant and scattering states in the α+α system from the nonlocalized cluster model

Resonant and scattering states in the α+α system from the nonlocalized cluster model

A systematic study of the factors affecting central depletion in nuclei

Toroidal states in 28Si with covariant density functional theory in 3D lattice space

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