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Bound States Embedded in the Continuum Bound States Embedded in the Continuum

Bound States Embedded in the Continuum - PowerPoint Presentation

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Bound States Embedded in the Continuum - PPT Presentation

in Nuclear and Hadronic Systems H Lenske Institut für Theoretische Physik U Giessen a nd GSI Darmstadt 1 Agenda Interference in open quantum systems Continuum ID: 804294

continuum fano resonances line fano continuum line resonances 10li orrigo production shape states charmonium phys physics spectroscopy state quantum

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Slide1

Bound States Embedded in the Continuum in Nuclear and Hadronic Systems

H. LenskeInstitut für Theoretische Physik, U. Giessenand GSI Darmstadt

1

Slide2

Agenda:

Interference in open quantum systems Continuum spectroscopy in nuclei Charmonium line shapes Universality of the Fano-mechanism

Summary2

Slide3

Formation of Line Shapes

by Quantum Interference3closed channel |1) is embedded into a continuum of open channels |k)|1) decays by interactions with the „simple“ scattering

states |k)Bound State Embedded

into

the

Continuum

– BSEC

Slide4

Historically: The famous Silverman-Lassettre data He(e,e‘)He*(1P) @ 500eVMeasured

: 1959@Ohio State U., published: S. M. Silverman , E. N. Lassettre, J. Chem. Phys. 40 (1964) 1265. 4

Fano-Resonance: Defining

features

:

G

r

<<E

r

;

line

shape

parameter

q (

above

: q

=

-1.84)

O. K. Rice, J. Chem. Phys. 1, 375 (1933

),

U. Fano, Phys. Rev. 24,1866 (1961)

Slide5

Science 340,716 (2013)Manipulating Quantum Interference by Laser-

Modelling of Fano-Line Shapes5

Slide6

Fano-Resonances in Nuclei6

Slide7

7Introducing Bound States Embedded in the ContinuumBSECinto nuclear physics:n.b.: BSEC  BIC in Atomic/Laser/Molecular Physics

Slide8

Hamiltonian and Wave FunctionThe wave function:8

Slide9

BSEC excitation by an external probe9…e.g. by

scattering of a real or a virtual photon on an atom or a nucleus:

A*

A*

Slide10

Reaction Matrix Elements and

Production Cross SectionThe Fano-Cross Section Formula:10

Slide11

Populating the Continuum in Nuclear Physics 11

Slide12

The Nucleus

as an Open Quantum System: Fano-Resonances in 15C G~60…140keV (!)

12

Sonja

Orrigo, H.L

.,

Phys.Lett

. B633 (2006)

Relevant

core

states

:

Slide13

BIC at the Neutron Dripline13

Slide14

Pairing Theory as Coupled

Channels Problem: The Gorkov-Equations14

Slide15

Pairing in the Continuum

S. Orrigo, H.L., PLB 677 (2009)

15

Slide16

Pairing Resonances in Dripline Nuclei9Li+n 10Li

S. Orrigo, H.L., PLB 677 (2009) & ISOLDE Newsletter Spring 2010, p.5

16

Slide17

Continuum

Spectroscopy at REX-ISOLDE: 10Li=9Li+n d(9Li,10Li)p@2.36AMeVData: H. Jeppesen et al., NPA 738 (2004) 511 & NPA 748 (2005) 374.

S.

Orrigo

, H.L., PLB 677 (2009) & ISOLDE

newsletter

Spring 2010, p.5

17

Slide18

18

10Li(3/2-)10Li(1/2-)10Li(5/2+)Continuum Spectroscopy and Core Polarization in

10Li:Fano Resonances at the Threshold

Sonja Orrigo, H.L., 2015

Slide19

19New experimental results: High Resolution 10Li continuum spectroscopy at TRIUMFS. Orrigo, M. Cavallo, F. Cappuzzello et al.

Slide20

Fano-Resonances in Hadrons:Charmonium Spectroscopy20

Slide21

Confined cc-States: Charmonium Spectrum in the Quark ModelJ. Lopez, H.L., 2014

21Unified description of D-mesons and CharmoniumSpectra, wave functions, form factors…

Slide22

Xu Cao, H. L., arXiv:1410.1375, and to be publishedDD-Dynamics at Threshold Channel

Coupling and the Line Shape of Y3D1(3770)22

3.65

X(3900) ??

q

=-2.1

±0.6

Slide23

Line Shape of Reaction Form Factor and Physics Content

q=-0.2q=-1q=-10

Dominance of hadronic productionbalanced

quarkonic

and

hadronic

production

Dominance

of

quarkonic

production

Line

shape

controlled

by

quarkonic

content

Line

shape

depends

on

production

reaction

Spectral

distribution

of the SAME final

state

depend

on initial

state

23

Slide24

Production of y‘‘(3770) and the DD Spectral DistributionsDependence on Exit Channel(Data: BES Collaboration)

Derived Parameters:24Xu Cao, H.L., 2015

Slide25

25Exploratory Study:Charmonium Production in Antiproton-Proton AnnihilationR. Shyam, H.L., Phys. Rev. D 90 (2014) 014017, and to be published

Slide26

SummaryDynamics close to the particle thresholdFano resonances in atoms

and moleculsFano resonances in nuclei: continuum dynamics@driplines Fano resonances in hadrons: charmonium spectroscopyUniversality

and physics content of line

shape

dynamics

credits

to

Xu

Cao

,

Juan Lopez,

Sonja

Orrigo

,

and Radhey

Shyam

26