Double-Pionic Fusion in Nucleon Collisions on Few Body Systems - The ABC Effect and its Possible Origin Wasa-at-Cosy Celsius Wasa
First step into the ABC Alexander Abashian, Norman E. Booth and Kenneth M. Crowe, Phys. Rev. Lett. 5, 258 (1960) Alexander Abashian, Norman E. Booth and Kenneth M. Crowe, Phys. Rev. Lett. 5, 258 (1960) π 2 π Phase Space inclusive
All of ABC No ABC effect! ABC effect
ΔΔ ΔΔ Large π π invariant mass Small π π invariant mass π N Δ π N Δ π N Δ π N Δ p n Δ Δ d π π
F. Plouin et. al. Nucl. Phys. A302 (1978), ABC and ΔΔ models π π π π π π F. Plouin, P. Fleury, C. Wilkin PRL 65 (1990) 692
Results from new exclusive measurements
WASA 4 Detector 3 He/d COSY/
What we actually did p n p
p d
Total xsection pn d + - pn d 0 0 Tp = 1.0 GeVTp = 1.2 GeVTp = 1.4 GeV ( + 0 )= (I=1) ( + - )=0.5 (I=1)+2 (I=0) ( 0 0 )= (I=0)=0.2 (I=1) pp d + 0
Total x-section d threshold mass
2D x-section
Qualitative description n p n Δ Δ d π π + Δ Δ d π π p
Total xsection slices: qualitative description
M.Bashkanov et. al, Phys. Lett. B637 (2006) (I=0,1) (I=0) pd 3 Heππ, T p =0.89 GeV
Conclusion ABC effect due to narrow S-channel resonance with ABC effect due to narrow S-channel resonance with – – – ABC resonance: ABC resonance: – eigenstate in isoscalar pn and systems – robust enough to survive in nuclear medium More than just a state ? More than just a state ? –Is it a genuine dibaryon?
Outlook Finish data analysis Finish data analysis Perform Partial Wave Analysis (J PC ) Perform Partial Wave Analysis (J PC ) Analysis of Analysis of Measure Measure Measure pn elastic scattering Measure pn elastic scattering
Multiplet 10 10=35 28 27 10 * *+ * * + * * Y( )=2 I( )=0
* *
Dalitz plot
Total xsection slices: qualitative description
Parameters of a new state M R = GeV = 53 MeV
Total x-section Tp = 1.0 GeV Tp = 1.2 GeV Tp = 1.4 GeV
ΔΔ versus Δ pd 3 Heππ, T p =895 MeV
ΔΔ ΔΔ π N Δ π N Δ π N Δ π N Δ Large π π invariant mass Small π π invariant mass
pn dππ, T p =1.03 GeV
M.Bashkanov et. al, Phys. Lett. B637 (2006) (I=0,1) (I=0) pd 3 Heππ, T p =0.89 GeV
ΔΔ Resonance p n p n Δ Δ d π π Δ Δ d π π +
ΔΔ resonance in differential distributions Δ Δ π π Δ π π Δ Δ π π Δ + Parameter of F(q) is fitted here pd 3 Heππ q ΔΔ q
ΔΔ resonance parameters
Consistent description for d and 3 He case With ΔΔ resonance Without ΔΔ resonance pd 3 He pn d T p =0.895 GeV T p =1.03 GeV T p =1.35 GeV
Angular distributions ΔΔ bound ΔΔ peak full pd 3 He T p =0.895 GeV
Angular distributions ΔΔ bound ΔΔ pn d T p =1.03 GeV
Quantum numbers of the resonance From Fermi-statistics: J=1 +,3 + if L ΔΔ =0 3 S 1 ( d ) : S wave only 3 D 1 ( d ) : S + D waves 3 D 3 ( d ) : no S wave pn R d 0 pn d 0 0 pn d 0 0 I=0,1I=0I=0,2 I=0
pp d + 0 no ABC * (k 1 x k 2 ) T p =1.1 GeV Control channel (NO ABC expected)
Data collected for pn d 0 0 T p =1.0, 1.1, 1.2, 1.3, 1.4 GeV T p =1.0, 1.1, 1.2, 1.3, 1.4 GeV To cover full resonance region To cover full resonance region To have overlaps between different energies, due to Fermi To have overlaps between different energies, due to Fermi To reduce systematical errors. To reduce systematical errors.
Results from dd +X beamtime Collected energies: T d = 0.8, 0.9, 1.01, 1.05, 1.117, 1.2, 1.25, 1.32, 1.4 GeV
Phase shifts pn pn Elastic scattering
Outlook Wasa-at-Cosy Wasa-at-Cosy Nov07-Dec07 dd runs Nov07-Dec07 dd runs Feb08 pd runs Feb08 pd runs
ΔΔ - FSI
Energy dependence of the low-mass enhancement unbound (ΔΔ) bound ΔΔ 27 MeVbound (ΔΔ) 27 MeV
FSI p n p n p n n n p n p n p n p p n d p n d p n d p n … +++…
3 S 1 phase shifts
3 D 3 phase shifts
ΔΔ resonance parameters
Effect of collision damping Without collision damping With collision damping
Δ resonance π N Δ π N Δ π N Δ L=1
Total x-section for ΔΔ resonance ABC channels (I=0) No ABC (I=1)
First step into the ABC Alexander Abashian, Norman E. Booth and Kenneth M. Crowe, Phys. Rev. Lett. 5, 258 (1960) Alexander Abashian, Norman E. Booth and Kenneth M. Crowe, Phys. Rev. Lett. 5, 258 (1960) π 2 π Phase Space
All of ABC No ABC effect! ABC effect
Δ resonance π N Δ π N Δ π N Δ L=1
F. Plouin et. al. Nucl. Phys. A302 (1978), ABC and ΔΔ models π π π π π π F. Plouin, P. Fleury, C. Wilkin PRL 65 (1990) 692
ΔΔ versus Reality
Total x-section for ABC channels (I=0) No ABC (I=1) pp d + 0
NΔ state in pp + d pp
Total x-section for ABC channels (I=0) No ABC (I=1) pp d + 0