Weizsaecker-Skyrme mass model and the statistical errors

Slides:

Advertisements

Similar presentations

Systematic study of fusion reactions leading to super-heavy nuclei Ning Wang ( ) Guangxi Normal University Workshop on Synthesis.

Advertisements

Nuclear mass predictions for super-heavy nuclei and drip-line nuclei

Systematic study of fusion reactions leading to super-heavy nuclei

Description of heavy nuclei masses by macro-micro models 1. Coworkers: Yu. Litvinov, A. Parkhomenko 2. Introduction 3. Considered models 4. Accuracy of.

Testing isospin-symmetry breaking and mapping the proton drip-line with Lanzhou facilities Yang Sun Shanghai Jiao Tong University, China SIAP, Jan.10,

12 June, 2006Istanbul, part I1 Mean Field Methods for Nuclear Structure Part 1: Ground State Properties: Hartree-Fock and Hartree-Fock- Bogoliubov Approaches.

Upper limits on the effect of pasta on potential neutron star observables William Newton Michael Gearheart, Josh Hooker, Bao-An Li.

ISOLDE workshop, CERN, November 2008 Correlations between nuclear masses, radii and E0 transitions P. Van Isacker, GANIL, France Simple nuclear mass formulas.

SH nuclei – structure, limits of stability & high-K ground-states/isomers 1.Equilibrium shapes 2.Fission barriers 3.Q alpha of Z= ( with odd and.

M. Girod, F.Chappert, CEA Bruyères-le-Châtel Neutron Matter and Binding Energies with a New Gogny Force.

Nuclear and Radiation Physics, BAU, 1 st Semester, (Saed Dababneh). 1 Nuclear Binding Energy B tot (A,Z) = [ Zm H + Nm n - m(A,Z) ] c 2 B  m.

The first systematic study of the ground-state properties of finite nuclei in the relativistic mean field model Lisheng Geng Research Center for Nuclear.

Higher-Order Effects on the Incompressibility of Isospin Asymmetric Nuclear Matter Lie-Wen Chen ( 陈列文 ) (Institute of Nuclear, Particle, Astronomy, and.

Structures of Exotic 131,133 Sn Isotopes for r-process nucleosynthesis Shisheng Zhang 1,2 ( 张时声 ) 1. School of Physics and Nuclear Energy Engineering,

Ning Wang 1, Min Liu 1, Xi-Zhen Wu 2, Jie Meng 3 Isospin effects in nuclear mass models Nuclear Structure and Related Topics (NSRT15), , DUBNA.

Tensor force induced short-range correlation and high density behavior of nuclear symmetry energy Chang Xu ( 许昌 ) Department of Physics, Nanjing Univerisity.

1 New formulation of the Interacting Boson Model and the structure of exotic nuclei 10 th International Spring Seminar on Nuclear Physics Vietri sul Mare,

Effects of self-consistence violations in HF based RPA calculations for giant resonances Shalom Shlomo Texas A&M University.

Alex Brown UNEDF Feb Strategies for extracting optimal effective Hamiltonians for CI and Skyrme EDF applications.

Institut d’Astronomie et d’Astrophysique Université Libre de Bruxelles Structure of neutron stars with unified equations of state Anthea F. FANTINA Nicolas.

Ning Wang 1, Min Liu 1, Xi-Zhen Wu 2, Jie Meng 3 Isospin effect in Weizsaecker-Skyrme mass formula ISPUN14, , Ho Chi Minh City 1 Guangxi Normal.

1 11/20/ /10/2014 Jinniu Hu Stellar neutrino emission at finite temperature in relativistic mean field theory Jinniu Hu School of Physics, Nankai.

原子核配对壳模型的相关研究 Yanan Luo( 罗延安 ), Lei Li( 李磊 ) School of Physics, Nankai University, Tianjin Yu Zhang( 张宇 ), Feng Pan( 潘峰 ) Department of Physics, Liaoning.

Isospin and mixed symmetry structure in 26 Mg DONG Hong-Fei, BAI Hong-Bo LÜ Li-Jun, Department of Physics, Chifeng university.

Probing the density dependence of symmetry energy at subsaturation density with HICs Yingxun Zhang ( 张英逊 ) China Institute of Atomic Energy JINA/NSCL,

Ning Wang An improved nuclear mass formula Guangxi Normal University, Guilin, China KITPC , Beijing.

Francesca Gulminelli - LPC Caen, France Extended Nuclear Statistical Equilibrium and applications to (proto)neutron stars Extended Nuclear Statistical.

DFT Applications Technology to calculate observables Global properties Spectroscopy DFT Solvers Functional form Functional optimization Estimation of theoretical.

E. Sahin, G. de Angelis Breaking of the Isospin Symmetry and CED in the A  70 mass region: the T z =-1 70 Kr.

Three-body force effect on the properties of asymmetric nuclear matter Wei Zuo Institute of Modern Physics, Lanzhou, China.

Nuclear masses and shell corrections of superheavy elements

Study on Sub-barrier Fusion Reactions and Synthesis of Superheavy Elements Based on Transport Theory Zhao-Qing Feng Institute of Modern Physics, CAS.

Isovector reorientation of deuteron in the field of heavy target nuclei The 9th Japan-China Joint Nuclear Physics Symposium (JCNP 2015) Osaka, Japan, Nov.

第十四届全国核结构大会暨第十次全国核结构专题讨论会

F. C HAPPERT N. P ILLET, M. G IROD AND J.-F. B ERGER CEA, DAM, DIF THE D2 GOGNY INTERACTION F. C HAPPERT ET AL., P HYS. R EV. C 91, (2015)

1 Z.Q. Feng( 冯兆庆 ) 1 G.M. Jin( 靳根明 ) 2 F.S. Zhang ( 张丰收 ) 1 Institute of Modern Physics, CAS 2 Institute of Low Energy Nuclear Physics Beijing NormalUniversity.

Production mechanism of neutron-rich nuclei in 238 U+ 238 U at near-barrier energy Kai Zhao (China Institute of Atomic Energy) Collaborators: Zhuxia Li,

Current Status of Nuclear Mass Formulae 1 RIBF-ULIC-Symposium: Physics of Rare-RI Ring, RIKEN, Nov , 2011 Hiroyuki KOURA Advanced Science Research.

Electric Dipole Response, Neutron Skin, and Symmetry Energy

Uncertainty Quantification and Bayesian Model Averaging

Density-dependence of nuclear symmetry energy

Mass Measurements of Short-lived Nuclei at HIRFL-CSR

Fusion of 16,18O + 58Ni at energies near the Coulomb barrier

Extracting β4 from sub-barrier backward quasielastic scattering

University of Liverpool, Liverpool, UK, July 7-9, 2014

Nuclear Binding Energy

China-Japan collaboration workshop,

Nuclear structure of lowest 229Th states

Structure and dynamics from the time-dependent Hartree-Fock model

Isovector and isoscalar pairing in low-lying states of N = Z nuclei

Precision Mass Measurements of Short-lived Nuclei at CSRe-Lanzhou

Institute of Modern Physics, CAS

Nuclear masses of neutron-rich nuclei and symmetry energy

Deformed relativistic Hartree Bogoliubov model in a Woods-Saxon basis

Production of heavy neutron-rich nuclei around N=126 in multi-nucleon transfer (MNT) reactions Long ZHU (祝龙) Sino-French Institute of Nuclear Engineering.

Symmetry energy coefficients and shell gaps from nuclear masses

Superheavy nuclei: relativistic mean field outlook

Symmetry energy with non-nucleonic degrees of freedom

Neutron Optical Model Potential &Symmetry Energy

Rotation and alignment of high-j orbitls in transfermium nuclei

Variational Calculation for the Equation of State

High spin physics- achievements and perspectives

Kazuo MUTO Tokyo Institute of Technology

第十四届核结构会议，2012年4月11-16，湖州师范学院

An improved nuclear mass formula

II. Spontaneous symmetry breaking

The total charge-changing cross sections and the partial cross sections of 84Kr fragmentation on Al, C and CH2 targets Luo-Huan Wang1, Liang-Di Huo1, Jia-Huan.

Constraining the Nuclear Equation of State via Nuclear Structure observables 曹李刚中科院近物所第十四届全国核结构大会，湖州，

Department of Physics, Sichuan University

The Mass and Isotope Distribution of Limiting Temperatures

Presentation transcript:

Weizsaecker-Skyrme mass model and the statistical errors 16th International Symposium on Capture Gamma-Ray Spectroscopy and Related Topics, CGS16 Shanghai, China, Sep. 18 - 22, 2017 Weizsaecker-Skyrme mass model and the statistical errors Ning Wang Guangxi Normal University, Guilin, China

Outline Introduction Nuclear mass models Characteristics of the WS model Tests and model predictions Statistical errors in parameters and masses Conclusions

质量超重对称能裂变核天体 … rms error of 200 ~ 1000 keV

Discrepancies increase evidently approaching neutron drip line What is the reason? How large is the model error? Y.-H. Zhang, Yu. A. Litvinov, T. Uesaka and H.-S. Xu N=82 Z=82

Nuclear mass models Garvey-Kelson n-p residual IMME Shell model Global Local Systematics Garvey-Kelson n-p residual IMME Shell model … ~200keV Microscopic Macro-Micro Duflo-Zuker … ~300-600keV AME CLEAN RBF … ~200keV

Microscopic models (global) # Relativistic energy density functional # Non-relativistic energy density functional 1. Skyrme: HFB1…HFB32; … UNEDF … 2. Gogny: Goriely…PRL102 (2009) 242501 3. Fayans: Fayans...NPA676 (2000) 49 (m*=m) … P. Ring, J. Meng, S.-G. Zhou, W.-H. Long …

Macroscopic-microscopic mass models Strutinsky type: (shell corrections) FRDM: Moller…1995, 2012, [M, β, Bf,…] Extended Thomas-Fermi+SI (ETFSI): [M, EOS, β, Bf,…] Lublin-Strasbourg Drop (LSD) model: [M, β, Bf,…] Weizsäcker-Skyrme (WS) model: [M, β, Rch,…] … … Others : Esh from valence-nucleons: Kirson, NPA798 (2008) 29 Dieperink & Isacker, EPJA 42 (2009) 269 Wigner-Kirkwood method: Centelles, Schuck, Vinas, Anna. Phys. 322 (2007) 363; Bhagwat, et al.,PRC81_044321 KUTY model: Koura, Uno, Tachibana, Yamada, NPA674(2000)47

Characteristics of Weizsäcker-Skyrme mass model Liquid drop Deformation Shell Residual Residual：Mirror 、pairing 、Wigner corrections... Macro-micro concept & Skyrme energy density functional N. Wang, M. Liu, et al., PRC81-044322；PRC82-044304；PRC84-014333

Potential energy surface are considered Liquid drop part 110Pd To obtain g.s. energy, one needs to find the minimum on the PES

Isospin dependence of model parameters Symmetry energy coefficient Symmetry potential Strength of spin-orbit potential Pairing corr. term symmetry potential WS*：Phys. Rev. C 82 (2010) 044304

WS* FRDM KSO = -1 KSO = 1 Xu and Qi, Phys. Lett. B724 (2013) 247 Bf : Kowal, et al., PRC82 (2010) 014303 Xu and Qi, Phys. Lett. B724 (2013) 247 N=16 N=184 WS* FRDM

5. Isospin dependence of surface diffuseness Neutron-rich N. Wang, M. Liu, X. Z. Wu, and J. Meng, Phys. Lett. B 734 (2014) 215

D.D. Warner et al., Nature Physics 2 (2006) 311 Considering symmetries/correlations 26 25 From S. Lenzi D.D. Warner et al., Nature Physics 2 (2006) 311 Isospin Symmetry: 1932 Heisenberg SU(2)

Constraint from mirror nuclei charge-symmetry / independence of nuclear force reduces rms error by ~10%

Wigner effect of heavy nuclei Isospin symmetry of valence nucleons (N,Z) N=Z K. Mazurek, J. Dudek，et al., J. Phys. Conf. Seri. 205 (2010) 012034

Tests and model predictions Sobiczewski, Litvinov, Phys. Rev. C 89, 024311 (2014) WS*+RBF

LSD model …

Nuclear charge radii N. Wang, T. Li, PRC88, 011301(R) (2013) Angeli, et al., JPG42 (2015) 055108

Estimate of model errors from rms error to known masses? Statistical errors keV WS* FRDM DZ28 Year 2010 1995 AME2003 441 656 360 270 new data in AME2016 589 901 763 N. Wang and M. Liu, J. Phys: Conf. Seri. 420 (2013) 012057 RBF correction

parameters FRDM : ~30 DZ28 : ~28 HFB17 : ~24 HFB24 : ~30 WS3 : ~16 Estimate of model errors with data in different region parameters FRDM : ~30 DZ28 : ~28 HFB17 : ~24 HFB24 : ~30 WS3 : ~16 WS* : ~13

Statistical errors based on variation of fit data (WS*) Maximum likelihood estimation considering the weak correlations between parameters of macro part and those of micro part

M. Liu, Y. Gao, N. Wang, Chin. Phys. C 41 (2017), in press, arXiv:1709

Statistical errors Most sensitive parameter

4th-order symmetry energy coefficient NW, M. Liu, H. Jiang, J. L. Tian and Y. M. Zhao, Phys. Rev. C 91 (2015) 044308 H. Jiang, NW, Lie-Wen Chen, Y. M. Zhao and A. Arima, Phys. Rev. C 91 (2015) 054302

Correlations between model parameters in WS*

Conclusions The rms deviations of mass models with respect to known masses fall to about 200 keV (local) and 300-600 keV (global) . Isospin dependence of model parameters and isospin symmetry improve the accuracy of the WS mass model. For super-heavy nuclei and neutron drip line nuclei, the statistical errors increase evidently. The symmetry energy term plays a key role to the mass predictions of nuclei approaching to neutron drip line. The large discrepancy between WS4 and HFB17 for the masses of neutron drip line nuclei could be due to the uncertainty of 4th-order symmetry energy coefficient.

Thank you for your attention Nuclear mass tables & Codes ：www.ImQMD.com/mass Zhu-Xia Li (CIAE, Beijing) Xi-Zhen Wu (CIAE, Beijing) Ying-Xun Zhang (CIAE, Beijing) Kai Zhao (CIAE, Beijing) Min Liu (GXNU, Guilin) Jie Meng (Peking U, Beijing) Hui Jiang (SHMTU, Shanghai) Lu Guo (UCAS, Beijing) Yu-Min Zhao (SJTU, Shanghai) Li Ou (GXNU, Guilin) Jun-Long Tian (AYNU, Anyang) Zhi-Gang Xiao (Tsinghua U., Beijing) Shan-Gui Zhou (ITP-CAS, Beijing)