Beyond mean-field approach for pear-shaped hypernuclei

Xia, Haojie; Wu, X. Y.; Mei, Hua; Yao, J. M.

doi:10.1007/s11433-018-9308-0

Cited by 13 publications

(6 citation statements)

References 38 publications

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“…(2)(3)(4)(5). One can solve the Dirac equation in several different harmonic oscillator bases [53][54][55][56][57][58][59][60]. In the MDC-CDFTs, an axially deformed harmonic oscillator (ADHO) basis [53,54] is used to expand the single particle Dirac wave functions.…”

Section: The Multidimensionally-constrained Relativistic Mean Field Mmentioning

confidence: 99%

Ground state properties and potential energy surfaces of 270Hs from multidimensionally-constrained relativistic mean field model

Lü

Zhou

2019

Sci. China Phys. Mech. Astron.

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We study the ground state properties, potential energy curves and potential energy surfaces of the superheavy nucleus 270 Hs by using the multidimensionally-constrained relativistic mean-field model with the effective interaction PC-PK1. The binding energy, size and shape as well as single particle shell structure corresponding to the ground state of this nucleus are obtained. 270 Hs is well deformed and exhibits deformed doubly magic feature in the single neutron and proton level schemes. One-dimensional potential energy curves and two-dimensional potential energy surfaces are calculated for 270 Hs with various spatial symmetries imposed. We investigate in detail the effects of the reflection asymmetric and triaxial distortions on the fission barrier and fission path of 270 Hs. When the axial symmetry is imposed, the reflection symmetric and reflection asymmetric fission barriers both show a double-hump structure and the former is higher. However, when triaxial shapes are allowed the reflection symmetric barrier is lowered very much and then the reflection symmetric fission path becomes favorable. MDC-RMF model, superheavy nuclei, potential energy surface, fission barrier, reflection asymmetry, triaxial deformation PACS number(s): 21.10.-k, 21.60.Jz, 27.90.+b, 23.70.+j Citation: Meng X, Lu B N and Zhou S G, Ground state properties and potential energy surfaces of 270 Hs from multidimensionally-constrained relativistic mean field model, Sci.

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Section: The Multidimensionally-constrained Relativistic Mean Field Mmentioning

confidence: 99%

Ground state properties and potential energy surfaces of 270Hs from multidimensionally-constrained relativistic mean field model

Lü

Zhou

2019

Sci. China Phys. Mech. Astron.

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“…And furthermore, the mean-field calculations treat the nucleons and the Λhyperon on equal footing. In the last 5 years, beyond SHF [38][39][40][41] calculations and beyond RMF [42][43][44] calculations are, respectively, implemented to study the Λhypernuclear systems. In these beyond-mean-field calculations, the angular momentum projection (AMP) techniques give the rotational energy levels, and the generator coordinate method takes the configuration-mixing effect into consideration.…”

Section: Introductionmentioning

confidence: 99%

Impurity effects of the Λ hyperon in the hypernuclear systems Λ25Mg and Λ29Si

Cui¹,

Zhou²

2021

Commun. Theor. Phys.

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“…[82,83], the angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model was developed. In the future, we aim to go beyond the mean-field to perform studies [84][85][86][87]. Quantities such as electric quadrupole transitions will also be analyzed to study the shape coexistence and impurity effects of Λ hyperon, as conducted in Refs.…”

Section: B(e2)mentioning

confidence: 99%

Possible shape coexistence in odd-A Ne isotopes and the impurity effects of Λ hyperons *

Sun¹,

Sun²,

Zhang³

et al. 2022

Chinese Phys. C

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In this work, the shape evolution and the possible shape coexistence are explored in the odd-$A$ Ne isotopes in the framework of the multidimensionally constrained relativistic-mean-field~(MDC-RMF)~model. By introducing the $s_\Lambda$ and $p_{\Lambda}$ hyperons, the impurity effects to the nuclear shape, energy, size, and density distribution are investigated. For the $NN$ interaction, the PK1 parameter set was adopted and for the $\Lambda N$ interaction, the PK1-Y1 parameter set was taken. By blocking the unpaired odd neutron in different orbitals around the Fermi surface, the nuclear ground state along with the low-lying excited states are determined. The potential energy curves~(PECs), quadrupole deformations, nuclear r.m.s.~radii, binding energies, and the density distributions for the core nuclei as well as the corresponding hypernuclei are analyzed. By examining the PECs, great possibilities of the shape coexistences in $^{27,29}$Ne and a triple shape coexistence in $^{31}$Ne are found. For the impurity effects of $\Lambda$ hyperons, as behaved in the even-even Ne hypernuclear isotopes, the $s_{\Lambda}$ hyperon shows obvious shrinkage effect, which reduces the nuclear size and drives the nuclear shape to be more spherical; the $p_{\Lambda}$ hyperon occupying the $1/2^-[110]$ orbital is prolate and makes the nuclear shape more prolate; and the $p_{\Lambda}$ hyperon on the $3/2^-[101]$ orbital displays oblate shape and drives the nuclei to be more oblate.

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Beyond mean-field approach for pear-shaped hypernuclei

Cited by 13 publications

References 38 publications

Ground state properties and potential energy surfaces of 270Hs from multidimensionally-constrained relativistic mean field model

Ground state properties and potential energy surfaces of 270Hs from multidimensionally-constrained relativistic mean field model

Impurity effects of the Λ hyperon in the hypernuclear systems Λ25Mg and Λ29Si

Possible shape coexistence in odd-A Ne isotopes and the impurity effects of Λ hyperons *

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