Ning Wang 1, Min Liu 1, Xi-Zhen Wu 2, Jie Meng 3 Isospin effects in nuclear mass models Nuclear...
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Ning Wang1, Min Liu1, Xi-Zhen Wu2, Jie Meng3
Isospin effects in nuclear mass models
Nuclear Structure and Related Topics (NSRT15), 2015.7.14-18, DUBNA
1 Guangxi Normal University, Guilin, China2 China Institute of Atomic Energy, Beijing, China3 Peking University, Beijing, China
Introduction Weizsaecker-Skyrme mass formula Shell gaps and symmetry energy coefficients Summary
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N. Wang, M. Liu, X. Z. Wu, J. Meng, Phys. Lett. B 734, 215 (2014)
Super-heavy nuclei
r-process 、symmetry energy
known masses: 2438unmeasured ~ 4000
Nuclear mass models play an important role for the study of super-heavy nuclei, nuclear astrophysics, and nuclear symmetry energy. Popular mass models with rms error of ~300-600keV
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Yu. Oganessian. SKLTP/CAS - BLTP/JINR July 16, 2014, Dubna
neutrons →
1. Central position of the island for SHE ?
N. Wang, M. Liu, X. Wu, PRC 82 (2010) 044304
Courtesy of Qiu-Hong Mo
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Why is the difference so large for neutron-rich nuclei ?
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Macro-micro concept & Skyrme energy density functional
Liquid drop Deformation Shell Residual
Residual : Mirror 、 pairing 、 Wigner corrections...
PRC81-044322 ; PRC82-044304 ; PRC84-014333
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Skyrme EDF plus extended Thomas-Fermi approach,significantly reduces CPU time
Parabolic approx. for the deformation energies
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Shell corrections
symmetry potential
Deformed Woods-Saxon potential
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Isospin dependence of model parameters
1. Symmetry energy coefficient
2. Symmetry potential
3. Strength of spin-orbit potential
4. Pairing corr. term
symmetry potential
WS3 : Phys.Rev.C84_014333
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5. Isospin dependence of surface diffuseness
N. Wang, M. Liu, X. Z. Wu, and J. Meng, Phys. Lett. B 734 (2014) 215
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Rms (keV)
FRDM HFB24 WS WS4
To known masses 654 549 525 298
Number of model para. 31 30 13 18
9 y 13 y 4 yRm
s e
rro
r
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Predictive power for new masses AME2012
rmsD (in keV) WS3 FRDM DZ28 HFB17
sigma (M)2149 336 656 360 581
sigma (M)219 424 765 673 648
M(WS3) – M(exp.)
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For new masses after 2012
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Xu and Qi, Phys. Lett. B724 (2013) 247
KSO = -1 KSO = 1
WS4, Phys. Lett. B 734 (2014) 215
FRDM
WS*
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Wienholtz, et al., Nature 498 (2013)346
New magic numbers
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Mo, Liu, Wang, Phys. Rev. C 90, 024320 (2014)
Shell structure in heavy and super-heavy nuclei
108
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142 152 162
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Kowal,et al., Phys. Rev. C 82_014303
H. F. Zhang, et al., Phys. Rev. C 85_014325
178
WS*
162
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Symmetry energy coefficients of nuclei
Parabolic law for drip line nuclei?
Liu, Wang, Li, Zhang, Phys. Rev. C 82_064306
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Symmetry energy coefficients of finite nuclei from Skryme energy density functional + ETF
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N. Wang, M. Liu, H. Jiang, J. L. Tian, Y. M. Zhao, Phys. Rev. C 91, 044308 (2015)
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Inspired by the Skyrme energy-density functional, we propose a new
macro-micro mass formula with an rms error of 298 keV, considering the
isospin dependence of model parameters.
The shell gaps from WS formula indicate that N=32 could be new magic
number in neutron-rich region, and N=142, 152, 162, 178;
Z=92, 100, 108, 120 could be sub-shell closure in super-heavy region.
The symmetry energy coefficients of nuclei are extracted from nuclear
masses and Skyrme energy density functional. The opposite values for the
coefficient of I^4 term used in the HFB17 and WS4 models may result in
the large difference at the predictions of the masses of neutron-rich nuclei.
Summary
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Thank you for your attention
Codes & Nuclear mass tables :www.ImQMD.com/mass
Guilin, China
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backup
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Quadrupole Deformations
Prolate
Oblate
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Mo, Liu, Wang , Phys. Rev. C 90, 024320 (2014)
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原子核壳能隙可以给出子壳信息
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Volume term
Surface energy term
Coulomb energy term
Symmetry energy term
Nuclear surface diffuseness results in the deformation energies being complicated
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Isospin dependence of the surface diffuseness Deformation dependence of the symmetry energy coefficients of nuclei
Skyrme energy density functional + ETF2
Mo, Liu, Chen, Wang, Sci. China Phys. Mech. & Astron. 58 (2015) 082001
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Nuclear deformations
Prolate
Oblate
N. Wang, T. Li, Phys. Rev. C88, 011301(R)
Rms charge radii
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RMF: Lalazissis, Raman, and Ring, At. Data Nucl. Data Tables 71, 1 (1999)
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