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
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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
Slide2Agenda:
Interference in open quantum systems Continuum spectroscopy in nuclei Charmonium line shapes Universality of the Fano-mechanism
Summary2
Slide3Formation 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
Slide4Historically: 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)
Slide5Science 340,716 (2013)Manipulating Quantum Interference by Laser-
Modelling of Fano-Line Shapes5
Slide6Fano-Resonances in Nuclei6
Slide77Introducing Bound States Embedded in the ContinuumBSECinto nuclear physics:n.b.: BSEC BIC in Atomic/Laser/Molecular Physics
Slide8Hamiltonian and Wave FunctionThe wave function:8
Slide9BSEC excitation by an external probe9…e.g. by
scattering of a real or a virtual photon on an atom or a nucleus:
A*
A*
Slide10Reaction Matrix Elements and
Production Cross SectionThe Fano-Cross Section Formula:10
Slide11Populating the Continuum in Nuclear Physics 11
Slide12The 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
:
Slide13BIC at the Neutron Dripline13
Slide14Pairing Theory as Coupled
Channels Problem: The Gorkov-Equations14
Slide15Pairing in the Continuum
S. Orrigo, H.L., PLB 677 (2009)
15
Slide16Pairing Resonances in Dripline Nuclei9Li+n 10Li
S. Orrigo, H.L., PLB 677 (2009) & ISOLDE Newsletter Spring 2010, p.5
16
Slide17Continuum
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
Slide1818
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
Slide1919New experimental results: High Resolution 10Li continuum spectroscopy at TRIUMFS. Orrigo, M. Cavallo, F. Cappuzzello et al.
Slide20Fano-Resonances in Hadrons:Charmonium Spectroscopy20
Slide21Confined cc-States: Charmonium Spectrum in the Quark ModelJ. Lopez, H.L., 2014
21Unified description of D-mesons and CharmoniumSpectra, wave functions, form factors…
Slide22Xu 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
Slide23Line 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
Slide24Production of y‘‘(3770) and the DD Spectral DistributionsDependence on Exit Channel(Data: BES Collaboration)
Derived Parameters:24Xu Cao, H.L., 2015
Slide2525Exploratory Study:Charmonium Production in Antiproton-Proton AnnihilationR. Shyam, H.L., Phys. Rev. D 90 (2014) 014017, and to be published
Slide26SummaryDynamics 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