Exotic toroidal and superdeformed configurations in light atomic nuclei: Predictions using a mean-field Hamiltonian without parametric correlations

Gaamouci, A.; Dedes, I.; Dudek, J.; Baran, A.; Benhamouda, N.; Curien, D.; Wang, H. L.; Yang, Jie

doi:10.1103/physrevc.103.054311

“…The prolate-shape predominance of the nuclear ground-state deformation for two thousand nuclei has been obtained using this potential [65]. This potential has been used to investigate the toroidal and superdeformed configurations in light atomic nuclei [66]. It has also been used to explain the hyperfine structure of heavy ions [67].…”

Section: Deformed Woods-saxon Potentialmentioning

confidence: 99%

Quantum Gravity Corrections to the Mean Field Theory of Nucleons

Naqash,

Majumder,

Mitra

et al. 2021

Preprint

0

View full text Add to dashboard Cite

In this paper, we analyze the correction to the mean field theory potential for a system of nucleons. It will be argued that these corrections can be obtained by deforming the Schrödinger's equation describing a system of nucleons by a minimal length in the background geometry of space-time. This is because such a minimal length occurs due to quantum gravitational effects, and modifies the low energy quantum mechanical systems. In fact, as the mean field potential for the nucleons is represented by the Woods-Saxon potential, we will explicitly analyze such corrections to this potential. We will obtain the corrections to the energy eigenvalues of the deformed Schrödinger's equation for the Woods-Saxon potential. We will also construct the wave function for the deformed Schrödinger's equation.

show abstract

“…To examine the single-neutron spectrum in the vicinity of N = 40, we have calculated single particle energies as shown in Fig 1 . Here we follow the state of the art phenomenological realization of the universal mean field approach [7], where one set of parameters is common for the whole nuclear chart, parametric correlations of the modeling are analyzed and removed according to the mathematical Inverse Problem Theory. The approach of [7] along N = 40 for spherical shape nuclei; solid (dashed) lines stand for positive (negative) parity orbitals. The close approach of orbitals 2p 1/2 and 1f 5/2 at Z = 26 defines a zone of nuclei usually referred to as an "island of inversion".…”

mentioning

confidence: 99%

“…These results are interpreted in terms of mean-field calculations employing recent 'universal' Woods-Saxon Hamiltonian [7] and results from the newly developed multishell valence-space in-medium similarity renormalization group (VS-IMSRG) [18].…”

mentioning

confidence: 99%

“…However, known equilibrium shapes across N = 40 [39] are all non-spherical and manifest systematically prolate shapes, which will further shift the corresponding energy levels. We performed large-scale mean-field calculations, employing the 'universal' Woods-Saxon Hamiltonian [7], and extracted deformation and single-particle energy levels. Our calculations are in good agreement with known experimental deformations across N = 40 and predict a return to sphericity approaching N = 50, as shown in Fig.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Mapping the N=40 island of inversion: Precision mass measurements of neutron-rich Fe isotopes

Porter¹,

B.²,

Bergmann³

et al. 2022

Self Cite

View full text Add to dashboard Cite

Nuclear properties across the chart of nuclides are key to improving and validating our understanding of the strong interaction in nuclear physics. We present high-precision mass measurements of neutron-rich Fe isotopes performed at the TITAN facility. The multiple-reflection time-of-flight mass spectrometer (MR-ToF-MS), achieving a resolving power greater than 600 000 for the first time, enabled the measurement of 63−70 Fe, including first-time high-precision direct measurements (δm/m ∼ 10 −7 ) of 68−70 Fe, as well as the discovery of a long-lived isomeric state in 69 Fe. These measurements are accompanied by both mean-field and ab initio calculations using the most recent realizations which enable theoretical assignment of the spin-parities of the 69 Fe ground and isomeric states. Together with mean-field calculations of quadrupole deformation parameters for the Fe isotope chain, these results benchmark a maximum of deformation in the N = 40 island of inversion in Fe, and shed light on trends in level densities indicated in the newly-refined mass surface.

show abstract

“…However, known equilibrium shapes across N = 40 [39] are all non-spherical and manifest systematically prolate shapes, which will further shift the corresponding energy levels. We performed large-scale mean-field calculations, employing the 'universal' Woods-Saxon Hamiltonian [7], and extracted deformation and single-particle energy levels. Our calculations are in good agreement with known experimental deformations across N = 40 and predict a return to sphericity approaching N = 50, as shown in Fig.…”

mentioning

confidence: 99%

Mapping the $N = 40$ Island of Inversion: Precision Mass Measurements of Neutron-rich Fe Isotopes

Porter,

Ashrafkhani,

Bergmann

et al. 2022

Preprint

Self Cite

0

View full text Add to dashboard Cite

Nuclear properties across the chart of nuclides are key to improving and validating our understanding of the strong interaction in nuclear physics. We present high-precision mass measurements of neutron-rich Fe isotopes performed at the TITAN facility. The multiple-reflection time-of-flight mass spectrometer (MR-ToF-MS), achieving a resolving power greater than 600 000 for the first time, enabled the measurement of 63−70 Fe, including first-time high-precision direct measurements (δm/m ∼ 10 −7 ) of 68−70 Fe, as well as the discovery of a long-lived isomeric state in 69 Fe. These measurements are accompanied by both mean-field and ab initio calculations using the most recent realizations which enable theoretical assignment of the spin-parities of the 69 Fe ground and isomeric states. Together with mean-field calculations of quadrupole deformation parameters for the Fe isotope chain, these results benchmark a maximum of deformation in the N = 40 island of inversion in Fe, and shed light on trends in level densities indicated in the newly-refined mass surface.

show abstract

Exotic toroidal and superdeformed configurations in light atomic nuclei: Predictions using a mean-field Hamiltonian without parametric correlations

Cited by 17 publications

References 63 publications

Quantum Gravity Corrections to the Mean Field Theory of Nucleons

Quantum Gravity Corrections to the Mean Field Theory of Nucleons

Mapping the N=40 island of inversion: Precision mass measurements of neutron-rich Fe isotopes

Mapping the $N = 40$ Island of Inversion: Precision Mass Measurements of Neutron-rich Fe Isotopes

Contact Info

Product

Resources

About