Antiprotons as Probes for Nuclear Structure Investigations of Exotic Nuclei
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Transcript of Antiprotons as Probes for Nuclear Structure Investigations of Exotic Nuclei
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Antiprotons as Probes for Nuclear Structure Investigations of Exotic Nuclei
H. Lenske Institut für Theoretische Physik, U. Giessen
• Neutron Skins in Exotic Nuclei• Antiproton-Nucleus Interactions• Elastic Scattering• Nuclear Radii from Absorption Cross Sections• Screening of Protons in Neutron-rich Nuclei• Outlook
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Neutron Skins in Ni and Sn Isotopes
F. Hofmann et al., PRC64 (2001); N. Tsoneva. H.L., PLB586 (2004) and PRC (2007)
Neutron Skins and PDR Strength in Sn
Isotopes a4=32MeV
a4=26MeV
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Measuring Neutron Skins on Isotopic Chains (Ni,Sn…):
p + A Absorption@FAIR: the AIC Proposal
P. Kienle, NMB 214 (2004) and AIC@FAIR
Proposal
H.L., P. Kienle, Phys.Lett. B647 (2007) 82-87
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Antiproton-Nucleon Annihilation
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pN
pN
t 1
3t
The antiproton-Nucleon Interaction
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The antiproton-Nucleus Interaction
Antiproton+A scattering:
• Free Space pN T-Matrix
• Nuclear Structure Input: HFB p and n Densities
• optical Potential in Impulse or t Approximation
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Antiproton+Nucleus Interactions:Elastic Scattering
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pA Scattering: Optical Potential and Absorption Cross
Section From The Continuity
Equation:
3 ( )† ( )abs s s opt s2
2m 1tr d r r, k (U (r)) r, k
2s 1k
s2 (z,b)2abs s opt2
2m 1tr d bdz (U (r))e
2s 1k
Eikonal Approximation:
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Antiproton Absorption on 58,78Ni: The Monopole Annihilation Kernel and the
Nuclear Density
( ) 2s
1 1ˆ(r, k) dr | (r, k) |
2s 1 4
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Probing Nuclear Radii by Antiprotons
• scaling of abs ~ <r2>
• energy independent slope
• convergence of magnitude
• increasing <r2>
• from proton to neutron skin
• neutron skins up to 0.6 fm
• charge radii by e- scattering
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Measuring Neutron Skins on Isotopic Chains (Ni,Sn…):
p + A Absorption on protons and neutrons
H.L., P. Kienle, Phys.Lett. B647 (2007) 82-87
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Antiproton Annihilation on Ni-Isotopes: Scaling of abs
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Q1: Antiproton+N Absorption: Isospin Symmetry
ppnp
ppnp
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p A(N,Z) A(N 1,Z) k
p A(N,Z) B(N,Z 1) k
Q2: Peripheral Antiproton Annihilation on a Nucleus:
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(n) ( ) ( )pN n nM t (x) p (r )
Differential Antiproton Annihilation on a Nucleus:
k k0k k
k
np a b
2 2(n)pN n
n n
d M (q) ~ q
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• Microscopic Approach to Antiproton-Nucleus Interactions
• Antiprotons as a Probe for Nuclear Skins
• Screening of the Core Protons in neutron-rich Nuclei
• Exclusive Processes: Studies of A A-1 Reactions
• Multi-Pion and YY Production
• Antiproton In-Medium Interactions:
• Test of G-parity for antiproton-N interactions,
• Study of dispersive self-energies
Summary and Outlook
Together with: Nadia Tsoneva, Urnaa Badarch, P. Kienle
Antiproton Ion Collider (AIC) Collaboration @ FAIR