Coupling of shape and pairing vibrations in a collective Hamiltonian based on nuclear energy density functionals. II. Low-energy excitation spectra of triaxial nuclei

Type: Article

Publication Date: 2024-04-16

Citations: 2

DOI: https://doi.org/10.1103/physrevc.109.044319

View Chat PDF

Abstract

The triaxial quadrupole collective Hamiltonian, based on relativistic energy density functionals, is extended to include a pairing collective coordinate. In addition to triaxial shape vibrations and rotations, the model describes pairing vibrations and the coupling between triaxial shape and pairing degrees of freedom. The parameters of the collective Hamiltonian are determined by a covariant energy density functional with constraints on the intrinsic triaxial shape and pairing deformations. The effect of coupling between triaxial shape and pairing degrees of freedom is analyzed in a study of low-lying spectra and transition rates of $^{128}\mathrm{Xe}$. When compared to results obtained with the standard triaxial quadrupole collective Hamiltonian, the inclusion of dynamical pairing compresses the low-lying spectra and improves interband transitions, in better agreement with data. The effect of zero-point energy correction on low-lying excited spectra is also discussed.

Locations

  • Physical review. C - View
  • arXiv (Cornell University) - View - PDF

Similar Works

Action Title Year Authors
+ Coupling shape and pairing vibrations in a collective Hamiltonian based on nuclear energy density functionals (II): low-energy excitation spectra of triaxial nuclei 2023 J. Xiang
Zhenni Li
Tamara Nikšić
D. Vretenar
Wen Hui Long
X. Y. Wu
+ PDF Chat Coupling of pairing and triaxial shape vibrations in collective states of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>γ</mml:mi></mml:math> -soft nuclei 2021 K. Nomura
D. Vretenar
Z. P. Li
J. Xiang
+ PDF Chat Coupling of shape and pairing vibrations in a collective Hamiltonian based on nuclear energy density functionals 2020 J. Xiang
Z. P. Li
Tamara Nikšić
D. Vretenar
Wen Hui Long
+ PDF Chat Interplay between pairing and triaxial shape degrees of freedom in Os and Pt nuclei 2021 K. Nomura
D. Vretenar
Z. P. Li
J. Xiang
+ PDF Chat Pairing vibrations in the interacting boson model based on density functional theory 2020 K. Nomura
D. Vretenar
Z. P. Li
J. Xiang
+ PDF Chat New parametrization for the nuclear covariant energy density functional with a point-coupling interaction 2010 P. W. Zhao
Z. P. Li
J. M. Yao
J. Meng
+ PDF Chat Shape transition and coexistence in Te isotopes studied with the quadrupole collective Hamiltonian based on a relativistic energy density functional 2024 Kei Suzuki
K. Nomura
+ Nuclear Shape Transition, Triaxiality and Energy Staggering of gamma Band States for Even-Even Xenon Isotopic Chain 2022 Wafaa B. Elsharkawy
Abeer Mera
M. Kotb
A. M. Khalaf
+ PDF Chat Shape transition and coexistence in Te isotopes studied with the quadrupole collective Hamiltonian based on a relativistic energy density functional 2024 Kei Suzuki
K. Nomura
+ PDF Chat Yrast band of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Ag</mml:mi><mml:mprescripts /><mml:none /><mml:mn>109</mml:mn></mml:mmultiscripts></mml:math> described by tilted axis cranking covariant density functional theory with a separable pairing force 2017 Y. K. Wang
+ Impacts of hexadecapole deformations on the collective energy spectra of axially deformed nuclei 2023 L. Lotina
K. Nomura
+ Collective-model description of shape coexistence and intruder states in cadmium isotopes based on a relativistic energy density functional 2022 K. Nomura
K. E. Karakatsanis
+ PDF Chat Pairing and deformation effects in nuclear excitation spectra 2017 A. Repko
J. Kvasil
V. O. Nesterenko
P.‐G. Reinhard
+ PDF Chat Global analysis of quadrupole shape invariants based on covariant energy density functionals 2017 Sun Quan
Q. Chen
Z. P. Li
Tamara Nikšić
D. Vretenar
+ PDF Chat Collective-model description of shape coexistence and intruder states in cadmium isotopes based on a relativistic energy density functional 2022 K. Nomura
Konstantinos Karakatsanis
+ PDF Chat Study of giant pairing vibrations with neutron-rich nuclei 2003 L. Fortunato
+ PDF Chat Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei 2017 Sun Quan
W. P. Liu
Z. P. Li
M. S. Smith
+ PDF Chat Microscopic model for the collective enhancement of nuclear level densities 2020 Jie Zhao
Tamara Nikšić
D. Vretenar
+ PDF Chat Beyond the relativistic mean-field approximation. III. Collective Hamiltonian in five dimensions 2009 Tamara Nikšić
Z. P. Li
D. Vretenar
L. Próchniak
J. Meng
P. Ring
+ PDF Chat Pairing vibrations study with the time-dependent Hartree-Fock-Bogoliubov theory 2008 B. Avez
C. Simenel
P. Chomaz

Citing (29)

Action Title Year Authors
+ On the impact of large amplitude pairing fluctuations on nuclear spectra 2011 Nuria López Vaquero
T. Rodrı́guez
J.L. Egido
+ PDF Chat 3D relativistic Hartree-Bogoliubov model with a separable pairing interaction: Triaxial ground-state shapes 2010 T. Nikšić
Peter Smith Ring
D. Vretenar
Yuan Tian
Zhongyu Ma
+ PDF Chat $\delta$ -pairing forces and collective pairing vibrations 2004 A. Khoukaz
I. Geck
C. Quentmeier
H.-H. Adam
A. Budzanowski
R. Czyżykiewicz
D. Grzonka
L. Jarczyk
K. Kilian
P. Kowina
+ PDF Chat Dynamic versus static fission paths with realistic interactions 2014 Samuel A. Giuliani
L. M. Robledo
R. Rodrı́guez-Guzmán
+ Theory of Pairing Vibrations 1970 Amit Goswami
Orhan Nalcioğlu
+ PDF Chat Anomalous pairing vibration in neutron-rich Sn isotopes beyond the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>82</mml:mn></mml:mrow></mml:math>magic number 2011 Hirotaka Shimoyama
Masayuki Matsuo
+ PDF Chat Pairing vibrations study with the time-dependent Hartree-Fock-Bogoliubov theory 2008 B. Avez
C. Simenel
P. Chomaz
+ PDF Chat Collective quadrupole excitations in the 50 &lt; Z, N &lt; 82 nuclei with the general Bohr Hamiltonian 1999 L. Próchniak
K. Zaja̧c
K. Pomorski
S. G. Rohoziński
J. Srebrny
+ PDF Chat Shape and Pairing Fluctuation Effects on Neutrinoless Double Beta Decay Nuclear Matrix Elements 2013 Nuria López Vaquero
T. Rodrı́guez
J.L. Egido
+ A finite range pairing force for density functional theory in superfluid nuclei 2009 Yuan Tian
Z. Ma
P. Ring
+ PDF Chat Potential energy surfaces of actinide nuclei from a multidimensional constrained covariant density functional theory: Barrier heights and saddle point shapes 2012 Bing-Nan Lu
En-Guang Zhao
Shan-Gui Zhou
+ PDF Chat Pairing-induced speedup of nuclear spontaneous fission 2014 Jhilam Sadhukhan
J. Dobaczewski
W. Nazarewicz
J. A. Sheikh
A. Baran
+ Collective Quadrupole Excitations in Transitional Nuclei 2000 K. Pomorski
L. Pr chniak
K. Zajc
S. G. Rohoziński
+ PDF Chat Beyond the relativistic mean-field approximation. III. Collective Hamiltonian in five dimensions 2009 Tamara Nikšić
Z. P. Li
D. Vretenar
L. Próchniak
J. Meng
P. Ring
+ PDF Chat Possible existence of multiple chiral doublets in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Rh</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>106</mml:mn></mml:mrow></mml:mmultiscripts></mml:math> 2006 J. Meng
J. Peng
Shuangquan Zhang
Shan-Gui Zhou
+ PDF Chat Covariant description of shape evolution and shape coexistence in neutron-rich nuclei at 2011 J. Xiang
Z. P. Li
Z.X. Li
J. M. Yao
J. Meng
+ PDF Chat Constraining the nuclear pairing gap with pairing vibrations 2009 E. Khan
M. Grasso
J. Margueron
+ PDF Chat <i>q</i>-deformed pairing vibrations 1994 S. Shelly Sharma
Naresh Sharma
+ PDF Chat Quadrupole collective inertia in nuclear fission: Cranking approximation 2011 A. Baran
J. A. Sheikh
J. Dobaczewski
W. Nazarewicz
A. Staszczak
+ PDF Chat Large-amplitude pairing fluctuations in atomic nuclei 2013 Nuria López Vaquero
J.L. Egido
T. Rodrı́guez
+ PDF Chat Beyond relativistic mean-field studies of low-lying states in neutron-deficient krypton isotopes 2013 Y. Fu
H. Mei
J. Xiang
Z. P. Li
J. M. Yao
J. Meng
+ PDF Chat New parametrization for the nuclear covariant energy density functional with a point-coupling interaction 2010 P. W. Zhao
Z. P. Li
J. M. Yao
J. Meng
+ PDF Chat Multidimensionally-constrained relativistic mean-field study of spontaneous fission: Coupling between shape and pairing degrees of freedom 2016 Jie Zhao
Bing-Nan Lu
Tamara Nikšić
D. Vretenar
Shan-Gui Zhou
+ PDF Chat Least action description of spontaneous fission in fermium and nobelium nuclei based on the Gogny energy density functional 2018 R. Rodrı́guez-Guzmán
L. M. Robledo
+ PDF Chat Coupling of shape and pairing vibrations in a collective Hamiltonian based on nuclear energy density functionals 2020 J. Xiang
Z. P. Li
Tamara Nikšić
D. Vretenar
Wen Hui Long
+ PDF Chat Coexistence of nuclear shapes: self-consistent mean-field and beyond 2016 Z. P. Li
Tamara Nikšić
D. Vretenar
+ PDF Chat Coupling of pairing and triaxial shape vibrations in collective states of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>γ</mml:mi></mml:math> -soft nuclei 2021 K. Nomura
D. Vretenar
Z. P. Li
J. Xiang
+ PDF Chat Interplay between pairing and triaxial shape degrees of freedom in Os and Pt nuclei 2021 K. Nomura
D. Vretenar
Z. P. Li
J. Xiang
+ PDF Chat Microscopic self-consistent description of induced fission: Dynamical pairing degree of freedom 2021 Jie Zhao
Tamara Nikšić
D. Vretenar