Cluster and shape in stable and unstable nuclei
|
|
- Aileen Washington
- 6 years ago
- Views:
Transcription
1 luster and shape in stable and unstable nuclei Y. Kanada-En yo (Kyoto Univ.) ollaborators: Y. Hidaka (GOE-PD->Riken) F. Kobayashi (D2, Kyoto Univ.) T. Suhara (Kyoto Univ.->Tsukuba Univ.) Y. Taniguchi (Tsukuba Univ.)
2 Introduction
3 Rich phenomena proton neutron Neutron-rich Deformation & vibration luster structure Neutron halo, skin luster: sub unit of nucleons with spatial correlations 4He:ppnn
4 Nuclear system atom electrons nucleus proton A finite quantum many-body system of protons and neutrons neutron onfined by the external field Analogy & Differences nuclear force: Attractions Electron motion Nucleon motion orbit, shell Self-bound 1. Independent-particle feature in self-consistent mean-field 2. Strong nucleon-nucleon correlations cluster
5 luster Nuclear system 1. Independent-particle feature in self-consistent mean-field 2.Strong nucleon-nucleon correlations 3.Saturation properties Energy/nucleon~constant orbit, shell Single-particle motion v.s. Many-body correlation Rich phenomena luster in low-lying excited states Ground state Excited state
6 luster states in low energy Energy 100 MeV Nucleon gas Break-up energy 6 protons 6 neutrons triangle chain? α α α α α α 10 MeV 3α-cluster low density luster gas α α α 0 MeV lowest states Liquid drop shell, saturated density
7 oexistence of cluster and MF features 3α Shell structure MF luster formation developed 3α luster Fermions in MF fermi surface many-body correlation luster excitation No fermi surface ground state excited states
8 Typical luster structures cluster structures known in light stable nuclei 7 Li 8 Be 20 Ne 16 O* a t a a 3 a 16 O a a
9 Rich phenomena in unstable nuclei New Facility (RIBF etc.) Unbalanced proton-neutron ratio Excitation energy * proton number * neutron number * Excitation energy neutron N
10 Rich phenomena in unstable nuclei 14 * 16 O Normal state O O 13 O 14 O 15 O 16 O 17 O 18 O 19 O 20 O 21 O 22 O N 11 N N 13 N 14 N 15 N 16 N 17 N 18 N 19 N 20 N 21 N luster gas in * B Be Li B 9 B 7 Be 8 Be 9 Be 10 Be 11 Be Be 6 Li 7 Li 8 Li 9 Li B 11 B B 13 B 14 B 15 B 17 B 19 B 11 Li 14 Be Shape difference 16 He 3 He 4 He 6 He 8 He H 1 H 2 H 3 H n Nuetron halo Neutron skin Molecule-like structure in Be isotopes
11 Theoretical Framework Approach for nuclear structure to study coexistence of cluster and mean-field aspects
12 To study cluster and MF aspects Fermions in MF luster formation developed 3α Shell structure MF luster Shell-model, MF approaches luster models One-center basis expansion Multi-center model: lusters a priori assumed AMD Antisymmetrized molecular dynamics luster and MF aspects, stable/unstable nuclei, cluster formation/breaking
13 AMD wave fn. AMD method for structure study Slater det. Variational parameters: Gauss centers, spin orientations spatial Gaussian det Intrinsic spins isospin Gaussian wave packet Energy Variation Model wave fn. Effective nuclear force phenomenological)
14 AMD model space det luster and MF formation/breaking det A variety of cluster st. Energy surface Energy variation Shell structure Randomly chosen Initial states Model space (Z plane) Energy minimum states
15 Some topics of cluster phenomena
16 Topics of cluster phenomena luster gas, Linear chain states in isotopes luster structures in Be isotopes luster & shapes: symmetry breaking(sb) and restoration
17 Topics of cluster phenomena luster gas, Linear chain states in isotopes luster structures in Be isotopes luster & shapes: symmetry breaking(sb) and restoration
18 luster gas states in excited states Tohsaki et al.(2001),funaki et al. (2003) cluster gas Dilute cluster gas Bea 7.65 MeV 0 2 3a a condensation Bosonic behavior: a particles condensate in the same orbit. 0 1 BE in nuclear matter Roepke et al., PRL(1998)
19 2at cluster in 11 B(3/2-3) similar cluster gas of 2at? AMD by Y.K-E., Suhara 11 B, 11 PR75, (2007) PR85, (20) Bea luster gas of 3a 7.65 MeV 2at 7 Lia /2 4-3/2 3 3/2 2-2at 0 1 3/2 1 - Strong E0 transition Kawabata et al. PLB646, 6 (2007)
20 Linear chain of 3a in *? 0 3 Linear chain of 3a? ,16 stabilized by excess neurons Itagaki et al., Y.K-E.et al., Suhara et al. 8 Bea 7.65 MeV 0 2 3a clustser gas Linear chain structure?
21 Linear chain state in 14 * 3a 8 Bea 0 3, MeV MeV 0 1 3a chain-like a a a 3a gas a a a cluster & shell a a a p 3/2 Add two neutrons Energy (Mev) 14 a a a AMD by T.Suhara and Y.K-E, Phys.Rev.82:044301, a linear chain proton neutron 14
22 Many-body correlations at low density luster gas, chain? Dineutron correlation? Nuclear matter a-cond. in low density Neutron matter Matsuo et al. PR ( 06) (0 2 ) 16 O* α α α Dilute a- cluster gas Unbound BE-BS BS * α α α Geometric (crystal?) α α α Dineutron at surface of neutron-rich nuclei by F. Kobayashi PTP6, 457 (2011)
23 Topics of cluster phenomena luster gas, Linear chain states in isotopes luster structures in Be isotopes luster & shapes: symmetry breaking(sb) and restoration
24 luster structure Excitation energy in neutron-rich Be Be Be Molecular orbital 0 3 luster excitation 8 Be 0 2 Normal state 2a 0 1 Normal state 0 1 Molecular orbital N
25 Molecular orbital(mo) structure in Be 2α-core formation MO formation Von Oertzen et al., N. Itagaki et al., Y. K-E. et al. α - α s-orbital MO state MO formation ± α - α p-orbital Normal state Gain kinetic energy in developed 2α system Low-lying MO states vanishing of magic number N=8 in 11 Be, Be, 13 Be
26 Topics of cluster phenomena luster gas, Linear chain states in isotopes luster structures in Be isotopes luster & shapes: symmetry breaking(sb) and restoration
27 Exotic shapes from cluster correlation MF 3α luster luster formation developed 3α nucleons in MF fermi surface many-body correlation at surface luster excitation No fermi surface No correlation gs (0 ), gs (3 - ) *(0 2) Strong α correlation Spherical O(3) Oblate O(2) Triangle D3h Spherical α gas O(3)
28 luster correlation and SB Y. K-E. and Y. Hidaka, PR84, (2011) rotational/axial symmetry broken restored Spherical Oblate Triangle Spherical α gas Strong α correlation Infinite matter Angular DW (Edge DW) 2L z 1 periodicity Translational symmetry broken phase restored Fermi gas Density wave(dw) 2k periodicity BE: alpha cond. k=0
29 Summary oexistence of cluster and MF aspects brings variety of structures. Topics of cluster phenomena in stable and unstable nuclei: luster gas, Linear chain, molecular orbital etc. luster and symmetry breaking In studies of unstable nuclei, further rich phenomena will be discovered as functions of proton/neutron numbers and excitation energy. Analogy with other quantum many-fermion systems (cold atoms, quark systems)
30 Acknowledgments Suhara Kobayashi Hidaka Thank to members of the nuclear theory group Thank to GOE program for a chance to start new collaborations
Cluster Models for Light Nuclei
Cluster Models for Light Nuclei N. Itagaki, T. Otsuka, University of Tokyo S. Aoyama, Niigata University K. Ikeda, RIKEN S. Okabe, Hokkaido University Purpose of the present study Cluster model explore
More informationStructures and Transitions in Light Unstable Nuclei
1 Structures and Transitions in Light Unstable Nuclei Y. Kanada-En yo a,h.horiuchi b and A, Doté b a Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization, Oho 1-1, Tsukuba-shi
More informationc E If photon Mass particle 8-1
Nuclear Force, Structure and Models Readings: Nuclear and Radiochemistry: Chapter 10 (Nuclear Models) Modern Nuclear Chemistry: Chapter 5 (Nuclear Forces) and Chapter 6 (Nuclear Structure) Characterization
More informationRFSS: Lecture 8 Nuclear Force, Structure and Models Part 1 Readings: Nuclear Force Nuclear and Radiochemistry:
RFSS: Lecture 8 Nuclear Force, Structure and Models Part 1 Readings: Nuclear and Radiochemistry: Chapter 10 (Nuclear Models) Modern Nuclear Chemistry: Chapter 5 (Nuclear Forces) and Chapter 6 (Nuclear
More informationP. Marevic 1,2, R.D. Lasseri 2, J.-P. Ebran 1, E. Khan 2, T. Niksic 3, D.Vretenar 3
-Nuclear Clustering in the Energy Density Functional Approach- P. Marevic 1,2, R.D. Lasseri 2, J.-P. Ebran 1, E. Khan 2, T. Niksic 3, D.Vretenar 3 1 CEA,DAM,DIF 2 IPNO 3 University of Zagreb 1 Introduction
More informationPhysics of neutron-rich nuclei
Physics of neutron-rich nuclei Nuclear Physics: developed for stable nuclei (until the mid 1980 s) saturation, radii, binding energy, magic numbers and independent particle. Physics of neutron-rich nuclei
More informationFermi gas model. Introduction to Nuclear Science. Simon Fraser University Spring NUCS 342 February 2, 2011
Fermi gas model Introduction to Nuclear Science Simon Fraser University Spring 2011 NUCS 342 February 2, 2011 NUCS 342 (Lecture 9) February 2, 2011 1 / 34 Outline 1 Bosons and fermions NUCS 342 (Lecture
More informationQuantum mechanics of many-fermion systems
Quantum mechanics of many-fermion systems Kouichi Hagino Tohoku University, Sendai, Japan 1. Identical particles: Fermions and Bosons 2. Simple examples: systems with two identical particles 3. Pauli principle
More informationα Particle Condensation in Nuclear systems
Particle Condensation in Nuclear systems A. Tohsaki, H. Horiuchi, G. Röpke, P. Sch. T. Yamada and Y. Funaki -condensation in matter 8 Be and Hoyle state in 12 C -condensate wave function Effective GPE
More informationTitle. Author(s)Itagaki, N.; Oertzen, W. von; Okabe, S. CitationPhysical Review C, 74: Issue Date Doc URL. Rights.
Title Linear-chain structure of three α clusters in 13C Author(s)Itagaki, N.; Oertzen, W. von; Okabe, S. CitationPhysical Review C, 74: 067304 Issue Date 2006-12 Doc URL http://hdl.handle.net/2115/17192
More informationEvolution Of Shell Structure, Shapes & Collective Modes. Dario Vretenar
Evolution Of Shell Structure, Shapes & Collective Modes Dario Vretenar vretenar@phy.hr 1. Evolution of shell structure with N and Z A. Modification of the effective single-nucleon potential Relativistic
More informationBeyond mean-field study on collective vibrations and beta-decay
Advanced many-body and statistical methods in mesoscopic systems III September 4 th 8 th, 2017, Busteni, Romania Beyond mean-field study on collective vibrations and beta-decay Yifei Niu Collaborators:
More informationarxiv: v1 [nucl-th] 9 Feb 2012
1 Antisymmetrized molecular dynamics and its applications to cluster phenomena Yoshiko Kanada-En yo 1, Masaaki Kimura 2, and Akira Ono 3 1 Department of Physics, Kyoto University, Kyoto 66-852, Japan 2
More informationLesson 5 The Shell Model
Lesson 5 The Shell Model Why models? Nuclear force not known! What do we know about the nuclear force? (chapter 5) It is an exchange force, mediated by the virtual exchange of gluons or mesons. Electromagnetic
More informationThe Charged Liquid Drop Model Binding Energy and Fission
The Charged Liquid Drop Model Binding Energy and Fission 103 This is a simple model for the binding energy of a nucleus This model is also important to understand fission and how energy is obtained from
More informationHybridization of tensor-optimized and high-momentum antisymmetrized molecular dynamics for light nuclei with bare interaction
Prog. Theor. Exp. Phys. 2015, 00000 (10 pages) DOI: 10.1093/ptep/0000000000 Hybridization of tensor-optimized and high-momentum antisymmetrized molecular dynamics for light nuclei with bare interaction
More informationShell Eects in Atomic Nuclei
L. Gaudefroy, A. Obertelli Shell Eects in Atomic Nuclei 1/37 Shell Eects in Atomic Nuclei Laurent Gaudefroy 1 Alexandre Obertelli 2 1 CEA, DAM, DIF - France 2 CEA, Irfu - France Shell Eects in Finite Quantum
More informationNucleon Pair Approximation to the nuclear Shell Model
Nucleon Pair Approximation to the nuclear Shell Model Yiyuan Cheng Department of Physics and Astronomy, Shanghai Jiao Tong University, China RCNP, Osaka university, Japan Collaborators: Yu-Min Zhao, Akito
More informationMean-field concept. (Ref: Isotope Science Facility at Michigan State University, MSUCL-1345, p. 41, Nov. 2006) 1/5/16 Volker Oberacker, Vanderbilt 1
Mean-field concept (Ref: Isotope Science Facility at Michigan State University, MSUCL-1345, p. 41, Nov. 2006) 1/5/16 Volker Oberacker, Vanderbilt 1 Static Hartree-Fock (HF) theory Fundamental puzzle: The
More informationLiquid Drop Model From the definition of Binding Energy we can write the mass of a nucleus X Z
Our first model of nuclei. The motivation is to describe the masses and binding energy of nuclei. It is called the Liquid Drop Model because nuclei are assumed to behave in a similar way to a liquid (at
More informationIntroduction to Nuclear Science
Introduction to Nuclear Science PIXIE-PAN Summer Science Program University of Notre Dame 2006 Tony Hyder, Professor of Physics Topics we will discuss Ground-state properties of the nucleus Radioactivity
More informationThe Nuclear Many-Body Problem
The Nuclear Many-Body Problem relativistic heavy ions vacuum electron scattering quarks gluons radioactive beams heavy few nuclei body quark-gluon soup QCD nucleon QCD few body systems many body systems
More informationProbing neutron-rich isotopes around doubly closed-shell 132 Sn and doubly mid-shell 170 Dy by combined β-γ and isomer spectroscopy.
Probing neutron-rich isotopes around doubly closed-shell 132 Sn and doubly mid-shell 170 Dy by combined β-γ and isomer spectroscopy Hiroshi Watanabe Outline Prospects for decay spectroscopy of neutron-rich
More informationIntroductory Nuclear Physics. Glatzmaier and Krumholz 7 Prialnik 4 Pols 6 Clayton 4.1, 4.4
Introductory Nuclear Physics Glatzmaier and Krumholz 7 Prialnik 4 Pols 6 Clayton 4.1, 4.4 Each nucleus is a bound collection of N neutrons and Z protons. The mass number is A = N + Z, the atomic number
More information14. Structure of Nuclei
14. Structure of Nuclei Particle and Nuclear Physics Dr. Tina Potter Dr. Tina Potter 14. Structure of Nuclei 1 In this section... Magic Numbers The Nuclear Shell Model Excited States Dr. Tina Potter 14.
More informationB. PHENOMENOLOGICAL NUCLEAR MODELS
B. PHENOMENOLOGICAL NUCLEAR MODELS B.0. Basic concepts of nuclear physics B.0. Binding energy B.03. Liquid drop model B.04. Spherical operators B.05. Bohr-Mottelson model B.06. Intrinsic system of coordinates
More informationNew Magic Number, N = 16, near the Neutron Drip-Line
New Magic Number, N = 16, near the Neutron Drip-Line Akira Ozawa The Institute of Physical and Chemical Research (RIKEN), Hirosawa 2-1, Wako-shi, Saitama 351-0198, Japan e-mail: ozawa@rarfaxp.riken.go.jp
More informationNucleon Pair Approximation to the nuclear Shell Model
Nucleon Pair Approximation to the nuclear Shell Model Yu-Min Zhao (Speaker: Yi-Yuan Cheng) 2 nd International Workshop & 12 th RIBF Discussion on Neutron-Proton Correlations, Hong Kong July 6-9, 2015 Outline
More informationNuclear Physics using RadioIsotope Beams. T. Kobayashi (Tohoku Univ.)
Nuclear Physics using RadioIsotope Beams T. Kobayashi (Tohoku Univ.) Nucleus: two kinds of Fermions: proton & neutron size ~1fm strong interaction: ~known tightly bound system < several fm < 300 nucleons
More information1 Introduction. 2 The hadronic many body problem
Models Lecture 18 1 Introduction In the next series of lectures we discuss various models, in particluar models that are used to describe strong interaction problems. We introduce this by discussing the
More informationLisheng Geng. Ground state properties of finite nuclei in the relativistic mean field model
Ground state properties of finite nuclei in the relativistic mean field model Lisheng Geng Research Center for Nuclear Physics, Osaka University School of Physics, Beijing University Long-time collaborators
More informationChiral effective field theory on the lattice: Ab initio calculations of nuclei
Chiral effective field theory on the lattice: Ab initio calculations of nuclei Nuclear Lattice EFT Collaboration Evgeny Epelbaum (Bochum) Hermann Krebs (Bochum) Timo Lähde (Jülich) Dean Lee (NC State)
More informationCoexistence phenomena in neutron-rich A~100 nuclei within beyond-mean-field approach
Coexistence phenomena in neutron-rich A~100 nuclei within beyond-mean-field approach A. PETROVICI Horia Hulubei National Institute for Physics and Nuclear Engineering, Bucharest, Romania Outline complex
More informationNuclear Shell Model. P461 - Nuclei II 1
Nuclear Shell Model Potential between nucleons can be studied by studying bound states (pn, ppn, pnn, ppnn) or by scattering cross sections: np -> np pp -> pp nd -> nd pd -> pd If had potential could solve
More informationNuclear Physics from Lattice Effective Field Theory
Nuclear Physics from Lattice Effective Field Theory Dean Lee (NCSU/Bonn) work done in collaboration with Evgeny Epelbaum (Bochum) Hermann Krebs (Bochum) Ulf-G. Meißner (Bonn/Jülich) Buḡra Borasoy (now
More informationCentral density. Consider nuclear charge density. Frois & Papanicolas, Ann. Rev. Nucl. Part. Sci. 37, 133 (1987) QMPT 540
Central density Consider nuclear charge density Frois & Papanicolas, Ann. Rev. Nucl. Part. Sci. 37, 133 (1987) Central density (A/Z* charge density) about the same for nuclei heavier than 16 O, corresponding
More informationCollective excitations of Λ hypernuclei
Collective excitations of Λ hypernuclei Kouichi Hagino (Tohoku Univ.) J.M. Yao (Southwest Univ.) Z.P. Li (Southwest Univ.) F. Minato (JAEA) 1. Introduction 2. Deformation of Lambda hypernuclei 3. Collective
More informationAlpha inelastic scattering and cluster structures in 24 Mg. Takahiro KAWABATA Department of Physics, Kyoto University
Alpha inelastic scattering and cluster structures in 24 Mg Takahiro KAWABATA Department of Physics, Kyoto University Introduction Contents Alpha cluster structure in light nuclei. Alpha condensed states.
More informationSymmetry breaking and symmetry restoration in mean-field based approaches
Symmetry breaking and symmetry restoration in mean-field based approaches Héloise Goutte GANIL Caen, France goutte@ganil.fr Cliquez pour modifier le style des sous-titres du masque With the kind help of
More informationTensor-optimized antisymmetrized molecular dynamics (TOAMD) with bare forces for light nuclei
Tensor-optimized antisymmetrized molecular dynamics (TOAMD) with bare forces for light nuclei Takayuki MYO Mengjiao LYU (RCNP) Masahiro ISAKA (RCNP) Hiroshi TOKI (RCNP) Hisashi HORIUCHI (RCNP) Kiyomi IKEDA
More informationNuclear Physics and Astrophysics
Nuclear Physics and Astrophysics PHY-30 Dr. E. Rizvi Lecture 5 - Quantum Statistics & Kinematics Nuclear Reaction Types Nuclear reactions are often written as: a+x Y+b for accelerated projectile a colliding
More informationShape coexistence and beta decay in proton-rich A~70 nuclei within beyond-mean-field approach
Shape coexistence and beta decay in proton-rich A~ nuclei within beyond-mean-field approach A. PETROVICI Horia Hulubei National Institute for Physics and Nuclear Engineering, Bucharest, Romania Outline
More informationTheoretical Nuclear Physics
Theoretical Nuclear Physics (SH2011, Second cycle, 6.0cr) Comments and corrections are welcome! Chong Qi, chongq@kth.se The course contains 12 sections 1-4 Introduction Basic Quantum Mechanics concepts
More informationIntroduction to Nuclear Science
Introduction to Nuclear Science PAN Summer Science Program University of Notre Dame June, 2014 Tony Hyder Professor of Physics Topics we will discuss Ground-state properties of the nucleus size, shape,
More informationNew Trends in the Nuclear Shell Structure O. Sorlin GANIL Caen
New Trends in the Nuclear Shell Structure O. Sorlin GANIL Caen I. General introduction to the atomic nucleus Charge density, shell gaps, shell occupancies, Nuclear forces, empirical monopoles, additivity,
More informationNUCLEAR STRUCTURE AB INITIO
December, 6:8 WSPC/Trim Size: 9in x 6in for Proceedings master NUCLEAR STRUCTURE AB INITIO H. FELDMEIER AND T. NEFF Gesellschaft für Schwerionenforschung mbh Planckstr., D-69 Darmstadt, Germany E-mail:
More informationTrends in Single-Particle Excitations
Trends in Single-Particle Excitations (and their fragmentation) Some object lessons from stable nuclei as we move toward the limits J. P. Schiffer Argonne National Laboratory and University of Chicago
More informationSpin-isospin correlation in 8 He and 12 Be(p,n)
Mini-workshop 18 November 2014 Spin-isospin correlation in 8 He and Be(p,n) H. Sakai 1, H. Sagawa 1,2, M. Kobayashi 3, S. Shimoura 3, T. Suzuki 4 and K. Yako 3 For the SHARAQ Collaboration 1 RIKEN Nishina
More informationLecture 4: Nuclear Energy Generation
Lecture 4: Nuclear Energy Generation Literature: Prialnik chapter 4.1 & 4.2!" 1 a) Some properties of atomic nuclei Let: Z = atomic number = # of protons in nucleus A = atomic mass number = # of nucleons
More informationTheory of neutron-rich nuclei and nuclear radii Witold Nazarewicz (with Paul-Gerhard Reinhard) PREX Workshop, JLab, August 17-19, 2008
Theory of neutron-rich nuclei and nuclear radii Witold Nazarewicz (with Paul-Gerhard Reinhard) PREX Workshop, JLab, August 17-19, 2008 Introduction to neutron-rich nuclei Radii, skins, and halos From finite
More informationCoupled-cluster theory for nuclei
Coupled-cluster theory for nuclei Thomas Papenbrock and G. Hagen D. J. Dean M. Hjorth-Jensen B. Velamur Asokan INT workshop Weakly-bound systems in atomic and nuclear physics Seattle, March 8-12, 2010
More informationApplied Nuclear Physics (Fall 2006) Lecture 8 (10/4/06) Neutron-Proton Scattering
22.101 Applied Nuclear Physics (Fall 2006) Lecture 8 (10/4/06) Neutron-Proton Scattering References: M. A. Preston, Physics of the Nucleus (Addison-Wesley, Reading, 1962). E. Segre, Nuclei and Particles
More informationPHY492: Nuclear & Particle Physics. Lecture 6 Models of the Nucleus Liquid Drop, Fermi Gas, Shell
PHY492: Nuclear & Particle Physics Lecture 6 Models of the Nucleus Liquid Drop, Fermi Gas, Shell Liquid drop model Five terms (+ means weaker binding) in a prediction of the B.E. r ~A 1/3, Binding is short
More informationNuclear Fission Fission discovered by Otto Hahn and Fritz Strassman, Lisa Meitner in 1938
Fission Readings: Modern Nuclear Chemistry, Chapter 11; Nuclear and Radiochemistry, Chapter 3 General Overview of Fission Energetics The Probability of Fission Fission Product Distributions Total Kinetic
More informationNuclear Shell Model. 1d 3/2 2s 1/2 1d 5/2. 1p 1/2 1p 3/2. 1s 1/2. configuration 1 configuration 2
Nuclear Shell Model 1d 3/2 2s 1/2 1d 5/2 1d 3/2 2s 1/2 1d 5/2 1p 1/2 1p 3/2 1p 1/2 1p 3/2 1s 1/2 1s 1/2 configuration 1 configuration 2 Nuclear Shell Model MeV 5.02 3/2-2 + 1p 1/2 1p 3/2 4.44 5/2-1s 1/2
More informationPhysics 228 Today: April 22, 2012 Ch. 43 Nuclear Physics. Website: Sakai 01:750:228 or
Physics 228 Today: April 22, 2012 Ch. 43 Nuclear Physics Website: Sakai 01:750:228 or www.physics.rutgers.edu/ugrad/228 Nuclear Sizes Nuclei occupy the center of the atom. We can view them as being more
More informationNuclear Spectroscopy I
Nuclear Spectroscopy I Augusto O. Macchiavelli Nuclear Science Division Lawrence Berkeley National Laboratory Many thanks to Rod Clark, I.Y. Lee, and Dirk Weisshaar Work supported under contract number
More informationCollective excitations of Lambda hypernuclei
Collective excitations of Lambda hypernuclei Kouichi Hagino (Tohoku Univ.) Myaing Thi Win (Lashio Univ.) J.M. Yao (Southwest Univ.) Z.P. Li (Southwest Univ.) 1. Introduction 2. Deformation of Lambda hypernuclei
More informationNeutron Halo in Deformed Nuclei
Advances in Nuclear Many-Body Theory June 7-1, 211, Primosten, Croatia Neutron Halo in Deformed Nuclei Ó Li, Lulu Ò School of Physics, Peking University June 8, 211 Collaborators: Jie Meng (PKU) Peter
More informationRFSS: Lecture 2 Nuclear Properties
RFSS: Lecture 2 Nuclear Properties Readings: Modern Nuclear Chemistry: Chapter 2 Nuclear Properties Nuclear and Radiochemistry: Chapter 1 Introduction, Chapter 2 Atomic Nuclei Nuclear properties Masses
More information3. Introductory Nuclear Physics 1; The Liquid Drop Model
3. Introductory Nuclear Physics 1; The Liquid Drop Model Each nucleus is a bound collection of N neutrons and Z protons. The mass number is A = N + Z, the atomic number is Z and the nucleus is written
More informationBand Structure of nuclei in Deformed HartreeFock and Angular Momentum Projection theory. C. R. Praharaj Institute of Physics Bhubaneswar.
Band Structure of nuclei in Deformed HartreeFock and Angular Momentum Projection theory C. R. Praharaj Institute of Physics. India INT Workshop Nov 2007 1 Outline of talk Motivation Formalism HF calculation
More informationCluster-gas-like states and monopole excitations. T. Yamada
Cluster-gas-like states and monopole excitations T. Yamada Cluster-gas-like states and monopole excitations Isoscalar monopole excitations in light nuclei Cluster-gas-likes states: C, 16 O, 11 B, 13 C
More information1. Nuclear Size. A typical atom radius is a few!10 "10 m (Angstroms). The nuclear radius is a few!10 "15 m (Fermi).
1. Nuclear Size We have known since Rutherford s! " scattering work at Manchester in 1907, that almost all the mass of the atom is contained in a very small volume with high electric charge. Nucleus with
More informationChapter 44. Nuclear Structure
Chapter 44 Nuclear Structure Milestones in the Development of Nuclear Physics 1896: the birth of nuclear physics Becquerel discovered radioactivity in uranium compounds Rutherford showed the radiation
More informationAllowed beta decay May 18, 2017
Allowed beta decay May 18, 2017 The study of nuclear beta decay provides information both about the nature of the weak interaction and about the structure of nuclear wave functions. Outline Basic concepts
More informationInstead, the probability to find an electron is given by a 3D standing wave.
Lecture 24-1 The Hydrogen Atom According to the Uncertainty Principle, we cannot know both the position and momentum of any particle precisely at the same time. The electron in a hydrogen atom cannot orbit
More informationThe interacting boson model
The interacting boson model P. Van Isacker, GANIL, France Introduction to the IBM Practical applications of the IBM Overview of nuclear models Ab initio methods: Description of nuclei starting from the
More informationE. Fermi: Notes on Thermodynamics and Statistics (1953))
E. Fermi: Notes on Thermodynamics and Statistics (1953)) Neutron stars below the surface Surface is liquid. Expect primarily 56 Fe with some 4 He T» 10 7 K ' 1 KeV >> T melting ( 56 Fe) Ionization: r Thomas-Fermi
More information13. Basic Nuclear Properties
13. Basic Nuclear Properties Particle and Nuclear Physics Dr. Tina Potter Dr. Tina Potter 13. Basic Nuclear Properties 1 In this section... Motivation for study The strong nuclear force Stable nuclei Binding
More informationThe Nuclear Many-Body problem. Lecture 3
The Nuclear Many-Body problem Lecture 3 Emergent phenomena at the drip lines. How do properties of nuclei change as we move towards the nuclear driplines? Many-body open quantum systems. Unification of
More informationNuclear electric dipole moment in the Gaussian expansion method
Nuclear electric dipole moment in the Gaussian expansion method Nodoka Yamanaka (ithes Group, RIKEN) In collaboration with E. Hiyama (RIKEN), T. Yamada (Kanto-Gakuin Univ.), Y. Funaki (RIKEN) 2015/10/12
More informationDI-NEUTRON CORRELATIONS IN LOW-DENSITY NUCLEAR MATTER
1 DI-NEUTRON CORRELATIONS IN LOW-DENSITY NUCLEAR MATTER B. Y. SUN School of Nuclear Science and Technology, Lanzhou University, Lanzhou, 730000, People s Republic of China E-mail: sunby@lzu.edu.cn Based
More informationThe interacting boson model
The interacting boson model P. Van Isacker, GANIL, France Dynamical symmetries of the IBM Neutrons, protons and F-spin (IBM-2) T=0 and T=1 bosons: IBM-3 and IBM-4 The interacting boson model Nuclear collective
More informationPHY492: Nuclear & Particle Physics. Lecture 5 Angular momentum Nucleon magnetic moments Nuclear models
PHY492: Nuclear & Particle Physics Lecture 5 Angular momentum Nucleon magnetic moments Nuclear models eigenfunctions & eigenvalues: Classical: L = r p; Spherical Harmonics: Orbital angular momentum Orbital
More informationProperties of Nuclei deduced from the Nuclear Mass
Properties of Nuclei deduced from the Nuclear Mass -the 2nd lecture- @Milano March 16-20, 2015 Yoshitaka Fujita Osaka University Image of Nuclei Our simple image for Nuclei!? Nuclear Physics by Bohr and
More informationPHGN 422: Nuclear Physics Lecture 1: General Introduction to Nuclear Physics
PHGN 422: NUCLEAR PHYSICS PHGN 422: Nuclear Physics Lecture 1: General Introduction to Nuclear Physics Prof. Kyle Leach August 22, 2017 Slide 1 Course Goals and Objectives Introduction to subatomic physics
More informationDSAM lifetime measurements at ReA - from stable Sn to exotic Ca. Hiro IWASAKI (NSCL/MSU)
DSAM lifetime measurements at ReA - from stable to exotic Ca Hiro IWASAKI (NSCL/MSU) 8/20/2015 ReA3 upgrade workshop 1 Evolution of halo properties N=28 pf-shell N>40 gds-shell E0,E? Efimov? 62 Ca? N=8
More informationWhat did you learn in the last lecture?
What did you learn in the last lecture? Charge density distribution of a nucleus from electron scattering SLAC: 21 GeV e s ; λ ~ 0.1 fm (to first order assume that this is also the matter distribution
More informationDescribe the structure of the nucleus Calculate nuclear binding energies Identify factors affecting nuclear stability
Atomic and Nuclear Structure George Starkschall, Ph.D. Lecture Objectives Describe the atom using the Bohr model Identify the various electronic shells and their quantum numbers Recall the relationship
More informationNuclear vibrations and rotations
Nuclear vibrations and rotations Introduction to Nuclear Science Simon Fraser University Spring 2011 NUCS 342 February 2, 2011 NUCS 342 (Lecture 9) February 2, 2011 1 / 29 Outline 1 Significance of collective
More informationSymmetry energy, masses and T=0 np-pairing
Symmetry energy, masses and T=0 np-pairing Can we measure the T=0 pair gap? Do the moments of inertia depend on T=0 pairing? Do masses evolve like T(T+1) or T^2 (N-Z)^2? Origin of the linear term in mean
More informationFunctional Orsay
Functional «Theories» @ Orsay Researchers: M. Grasso, E. Khan, J. Libert, J. Margueron, P. Schuck. Emeritus: N. Van Giai. Post-doc: D. Pena-Arteaga. PhD: J.-P. Ebran, A. Fantina, H. Liang. Advantages of
More informationII. Spontaneous symmetry breaking
. Spontaneous symmetry breaking .1 Weinberg s chair Hamiltonian rotational invariant eigenstates of good angular momentum: M > have a density distribution that is an average over all orientations with
More informationAlpha Clustering in Nuclear Reactions Induced by Light Ions
Alpha Clustering in Nuclear Reactions Induced by Light Ions C. Beck (IPHC Strasbourg) Introduction : alpha clustering in 12 C, 16 O, 20 Ne clusters in light neutron-rich nuclei Highly deformed shapes in
More informationQuantum Theory of Many-Particle Systems, Phys. 540
Quantum Theory of Many-Particle Systems, Phys. 540 Questions about organization Second quantization Questions about last class? Comments? Similar strategy N-particles Consider Two-body operators in Fock
More informationFundamental Forces. Range Carrier Observed? Strength. Gravity Infinite Graviton No. Weak 10-6 Nuclear W+ W- Z Yes (1983)
Fundamental Forces Force Relative Strength Range Carrier Observed? Gravity 10-39 Infinite Graviton No Weak 10-6 Nuclear W+ W- Z Yes (1983) Electromagnetic 10-2 Infinite Photon Yes (1923) Strong 1 Nuclear
More informationCold and dense QCD matter
Cold and dense QCD matter GCOE sympodium Feb. 15, 2010 Yoshimasa Hidaka Quantum ChromoDynamics Atom Electron 10-10 m Quantum ChromoDynamics Atom Nucleon Electron 10-10 m 10-15 m Quantum ElectroDynamics
More informationNuclear spectroscopy using direct reactions of RI beams
Nuclear spectroscopy using direct reactions of RI beams Introduction Spectroscopy of exotic nuclei (inv. kin.) Recent experimental results SHARAQ project in RIBF highly excited exotic states spectroscopy
More informationNuclear Symmetry Energy Constrained by Cluster Radioactivity. Chang Xu ( 许昌 ) Department of Physics, Nanjing University
Nuclear Symmetry Energy Constrained by Cluster Radioactivity Chang Xu ( 许昌 ) Department of Physics, Nanjing University 2016.6.13-18@NuSym2016 Outline 1. Cluster radioactivity: brief review and our recent
More informationAlpha particle condensation in nuclear systems
Alpha particle condensation in nuclear systems Contents Introduction ncondensate wave function 3system (0 and states ) 4system (05 state) Yasuro Funaki (Kyoto Univ.) Peter Schuck (IPN, Orsay) Akihiro Tohsaki
More informationQuantum Mechanics. Exam 3. Photon(or electron) interference? Photoelectric effect summary. Using Quantum Mechanics. Wavelengths of massive objects
Exam 3 Hour Exam 3: Wednesday, November 29th In-class, Quantum Physics and Nuclear Physics Twenty multiple-choice questions Will cover:chapters 13, 14, 15 and 16 Lecture material You should bring 1 page
More informationNuclear structure III: Nuclear and neutron matter. National Nuclear Physics Summer School Massachusetts Institute of Technology (MIT) July 18-29, 2016
Nuclear structure III: Nuclear and neutron matter Stefano Gandolfi Los Alamos National Laboratory (LANL) National Nuclear Physics Summer School Massachusetts Institute of Technology (MIT) July 18-29, 2016
More informationarxiv: v2 [nucl-th] 28 Aug 2014
Pigmy resonance in monopole response of neutron-rich Ni isotopes? Ikuko Hamamoto 1,2 and Hiroyuki Sagawa 1,3 1 Riken Nishina Center, Wako, Saitama 351-0198, Japan 2 Division of Mathematical Physics, arxiv:1408.6007v2
More informationSTRUCTURE FEATURES REVEALED FROM THE TWO NEUTRON SEPARATION ENERGIES
NUCLEAR PHYSICS STRUCTURE FEATURES REVEALED FROM THE TWO NEUTRON SEPARATION ENERGIES SABINA ANGHEL 1, GHEORGHE CATA-DANIL 1,2, NICOLAE VICTOR AMFIR 2 1 University POLITEHNICA of Bucharest, 313 Splaiul
More informationCANHP2015, Sept 21- Oct.30, 2015, Yukawa-Institute, Kyoto
Recent developments in Covariant density functional theory beyond mean field Kyoto, Oct. 23, 20 Peter Ring Technical University Munich Excellence Cluster Origin of the Universe Peking University, Beijing
More informationStructure of light hypernuclei in the framework of Fermionic Molecular Dynamics
1 Structure of light hypernuclei in the framework of Fermionic Molecular Dynamics Martin Schäfer, Jiří Mareš Nuclear Physics Institute, Řež, Czech Republic H. Feldmeier, T. Neff GSI Helmholtzzentrum für
More informationNuclear Forces - Lecture 1 - R. Machleidt University of Idaho
CNS Summer School, Univ. of Tokyo, at Wako campus of RIKEN, Aug. 18-23, 2005 Nuclear Forces - Lecture 1 - R. Machleidt University of Idaho 1 Nuclear Forces - Overview of all lectures - Lecture 1: History,
More informationNUCLEAR FORCES. Historical perspective
NUCLEAR FORCES Figure 1: The atomic nucleus made up from protons (yellow) and neutrons (blue) and held together by nuclear forces. Nuclear forces (also known as nuclear interactions or strong forces) are
More informationMany-Body Resonances of Nuclear Cluster Systems and Unstable Nuclei
Many-Body Resonances of Nuclear Cluster Systems and Unstable Nuclei Contents of the lecture 1. Resonances and complex scaling method 2. Many-body resonances of He-isotopes and their mirror nuclei 3. Coulomb
More information