W. Udo Schröder, 2005 Rotational Spectroscopy 1. W. Udo Schröder, 2005 Rotational Spectroscopy 2 Rigid-Body Rotations Axially symmetric nucleus 

Slides:

Advertisements

Similar presentations

CoulEx. W. Udo Schröder, 2012 Shell Models 2 Systematic Changes in Nuclear Shapes Møller, Nix, Myers, Swiatecki, Report LBL 1993: Calculations fit to.

Advertisements

Some (more) Nuclear Structure

Electromagnetic Properties of

How do nuclei rotate? 5. Appearance of bands. Deformed mean field solutions This is clearly the case for a well deformed nucleus. Deformed nuclei show.

II. Spontaneous symmetry breaking. II.1 Weinberg’s chair Hamiltonian rotational invariant Why do we see the chair shape? States of different IM are so.

The Collective Model Aard Keimpema.

W. Udo Schröder, 2007 Spontaneous Fission 1. W. Udo Schröder, 2007 Spontaneous Fission 2 Liquid-Drop Oscillations Bohr&Mottelson II, Ch. 6 Surface & Coulomb.

Tidal Waves and Spatial Symmetry Daniel Almehed Stefan Frauendorf Yongquin Gu.

NPSC-2003Gabriela Popa Microscopic interpretation of the excited K  = 0 +, 2 + bands of deformed nuclei Gabriela Popa Rochester Institute of Technology.

Microwave Spectroscopy II

Rotational bands in the rare-earth proton emitters and neighboring nuclei Darek Seweryniak Argonne National Laboratory PROCON Rotational landscape.

The Shell Model of the Nucleus 5. Nuclear moments

Dinuclear system model in nuclear structure and reactions.

W. Udo Schröder, 2007 Semi-Classical Reaction Theory 1.

NSDD Workshop, Trieste, February 2006 Nuclear Structure (II) Collective models P. Van Isacker, GANIL, France.

Orbits, shapes and currents S. Frauendorf Department of Physics University of Notre Dame.

The stability of triaxial superdeformed shape in odd-odd Lu isotopes Tu Ya.

5. Exotic modes of nuclear rotation Tilted Axis Cranking -TAC.

Structure of Warm Nuclei Sven Åberg, Lund University, Sweden.

I.A.E.A. Workshop - I.C.T.P. Trieste, Nov Geometrical Symmetries in Nuclei-An Introduction ASHOK KUMAR JAIN Indian Institute of Technology Department.

4. The rotating mean field. The mean field concept A nucleon moves in the mean field generated by all nucleons. The mean field is a functional of the.

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,

Chirality of Nuclear Rotation S. Frauendorf Department of Physics University of Notre Dame, USA IKH, Forschungszentrum Rossendorf Dresden, Germany.

Collective Model. Nuclei Z N Character j Q obs. Q sp. Qobs/Qsp 17 O 8 9 doubly magic+1n 5/ K doubly magic -1p 3/

High-spin structures in the 159 Lu nucleus Jilin University, China Institute of Atomic Energy 李聪博 The 13th National Nuclear Structure Conference of China.

FermiGasy. W. Udo Schröder, 2005 Angular Momentum Coupling 2 Addition of Angular Momenta    

The Algebraic Approach 1.Introduction 2.The building blocks 3.Dynamical symmetries 4.Single nucleon description 5.Critical point symmetries 6.Symmetry.

1 New symmetries of rotating nuclei S. Frauendorf Department of Physics University of Notre Dame.

Nuclear deformation in deep inelastic collisions of U + U.

How do nuclei rotate? 1. The molecular picture.

Spontaneous symmetry breaking and rotational bands S. Frauendorf Department of Physics University of Notre Dame.

Shell Model with residual interactions – mostly 2-particle systems Start with 2-particle system, that is a nucleus „doubly magic + 2“ Consider two identical.

How do nuclei rotate? The nucleus rotates as a whole.

Symmetries and collective Nuclear excitations PRESENT AND FUTURE EXOTICS IN NUCLEAR PHYSICS In honor of Geirr Sletten at his 70 th birthday Stefan Frauendorf,

The nuclear mean field and its symmetries W. Udo Schröder, 2011 Mean Field 1.

Studies of hypernuclei with the AMD method Masahiro ISAKA Institute of Physical and Chemical Research (RIKEN) Focusing on 25  Mg, based on M. Isaka, M.

Nuclear and Radiation Physics, BAU, 1 st Semester, (Saed Dababneh). 1 Shell model Notes: 1. The shell model is most useful when applied to closed-shell.

Nuclear and Radiation Physics, BAU, First Semester, (Saed Dababneh). 1 Extreme independent particle model!!! Does the core really remain inert?

A close up of the spinning nucleus S. Frauendorf Department of Physics University of Notre Dame, USA IKH, Forschungszentrum Rossendorf Dresden, Germany.

WHY ARE NUCLEI PROLATE:

Some (more) High(ish)-Spin Nuclear Structure Paddy Regan Department of Physics Univesity of Surrey Guildford, UK Lecture 2 Low-energy.

Left-handed Nuclei S. Frauendorf Department of Physics University of Notre Dame, USA IKH, Forschungszentrum Rossendorf Dresden, Germany.

Symmetries of the Cranked Mean Field S. Frauendorf Department of Physics University of Notre Dame USA IKH, Forschungszentrum Rossendorf, Dresden Germany.

Quantum phase transitions and structural evolution in nuclei.

Gross Properties of Nuclei

Sizes. W. Udo Schröder, 2011 Nuclear Spins 2 Intrinsic Nuclear Spin Nuclei can be deformed  can rotate quantum mech.  collective spin and magnetic effects.

 Standard Model goes pear-shaped in CERN experiment The Register  Physicists get a good look at pear-shaped atomic nuclei The Los Angeles Times  Exotic.

No Low-Lying Nuclear Vibrations: Configuration Dependent Pairing and Axial Asymmetry J. F. Sharpey-Schafer University of the Western Cape, South Africa.

g-ray spectroscopy of the sd-shell hypernuclei

How do nuclei rotate? 4. Rotation about a tilted axis and reflection asymmetry.

How do nuclei rotate? 3. The rotating mean field.

W. Udo Schröder, 2005 Gamma Decay 1. W. Udo Schröder, 2005 Gamma Decay 2 Photons Photons: generated by moving charge distributions. Distributions can.

Nordita Workshop on chiral bands /04/2015 Multiple chiral bands associated with the same strongly asymmetric many- particle nucleon configuration.

Lecture 4 1.The role of orientation angles of the colliding nuclei relative to the beam energy in fusion-fission and quasifission reactions. 2.The effect.

Elementary quantum mechanics of particle- rotor coupling: K = ½ bands.

Rotational energy term in the empirical formula for the yrast energies in even-even nuclei Eunja Ha and S. W. Hong Department of Physics, Sungkyunkwan.

Determining Reduced Transition Probabilities for 152 ≤ A ≤ 248 Nuclei using Interacting Boson Approximation (IBA-1) Model By Dr. Sardool Singh Ghumman.

Workshop Spiral II - Caen 4-6th October 2005

Shape parameterization

oblate prolate l=2 a20≠0, a2±1= a2±2= 0 Shape parameterization

PHL424: Nuclear rotation.

Quantal rotation Molecules

High spin physics- achievements and perspectives

Rotational Spectroscopy

Symmetry Concept: Multipolar Electric and Magnetic Fields

II. Spontaneous symmetry breaking

How do nuclei rotate? 1. The molecular picture.

Quantal rotation Molecules

Presentation transcript:

W. Udo Schröder, 2005 Rotational Spectroscopy 1

W. Udo Schröder, 2005 Rotational Spectroscopy 2 Rigid-Body Rotations Axially symmetric nucleus 

W. Udo Schröder, 2005 Rotational Spectroscopy 3 Rotational Wave Functions I 3 due to intrinsic s.p. spins = independent d.o.f. M

W. Udo Schröder, 2005 Rotational Spectroscopy 4 Example Wave Functions

W. Udo Schröder, 2005 Rotational Spectroscopy 5 R Invariance of Axially Symmetric Nuclei M 3 2 Construct symmetric total wave function: “signature” s=(-1) I+K

W. Udo Schröder, 2005 Rotational Spectroscopy 6 Example: Rot Spectrum 238 U Even-I sequence I=0 +, 2 +, 4 +,… Effect of rotation on nucleonic motion even for Q 0 = const. E. Grosse et al., Phys. Scripta 24, 71 (1977) E2

W. Udo Schröder, 2005 Rotational Spectroscopy 7 K Bands in 168 Er Bohr & Mottelson, Nucl. Struct. II Different intrinsic spins (K) and parities (r) Mainly E2 transitions within bands K forbiddenness

W. Udo Schröder, 2005 Rotational Spectroscopy 8 “Back Bending” Bohr & Mottelson, J. Phys. Soc. Japan 44, Suppl. 157 (1977) ground state band excited state band At high spins  break up of J=0 pair, reduction of moment of inertia .

W. Udo Schröder, 2005 Rotational Spectroscopy 9 Super Deformation 152 Dy Twin et al., 1986, ARNS 38 (1988) 108 Pd( 48 Ca, xn) 156-xn Dy* Wood et al., Phys. Rep. 215, 101 (1992) SD band: 19 transitions I≤ 60 E ≈ 47 keV large Q 0 = 19 eb BE2 = 2660 s.p.(W.u.) highly collective

W. Udo Schröder, 2005 Rotational Spectroscopy 10 Deformation Energy Surfaces Tri-axial nuclear shapes: semi axes

W. Udo Schröder, 2005 Rotational Spectroscopy 11 Angular Distribution of Symmetry Axis