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Λ spin-orbit splitting deduced from DWIA analysis of the 89Y+,K+) Λ89Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy (Moscow State U.) Y. Yamamoto (Tsuru U.)

Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

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Page 1: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

Λ spin-orbit splitting deduced from DWIA analysis of

the 89Y(π+,K+) Λ89Y reaction

T. Motoba (Osaka E-C U.)

D.J. Millener (Brookhaven N.L.)

D. Lanskoy (Moscow State U.)

Y. Yamamoto (Tsuru U.)  

Page 2: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

(π+,K+) reaction characteristics

Page 3: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

T.Motoba, H. Bando, R. Wunsch, J.Zofka, Phys. Rev.C38 (1988)

Page 4: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

H. Hotchi et al,

Phys. Rev. C64

044302 (2001).

Great achievement

good resolution

Γ=1.65 MeV

Ls splitting (ΔE):

(f )=1.70 MeV

(d)=1.63

(p)= 1.37

Page 5: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

High resolution γ-ray

mesurements

Page 6: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

How to understand “large” splitting of subpeaks observed in heavy systems  

Page 7: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

ΔE is not proportional to (2l+1)

Page 8: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy
Page 9: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

XS ratio is determined as  

Page 10: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

EXP vs. DWIA CAL(WS, VLS=4.3MeV)

Page 11: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

Take core-excited states seriously : up to the level of p-shell

hypernuclei

Page 12: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy
Page 13: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy
Page 14: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy
Page 15: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy
Page 16: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy
Page 17: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy
Page 18: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy
Page 19: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

CONCLUSION (1)Reproduce cross section ratios among a series of pronounced peaks and sub-peaks.

Page 20: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

CONCLUSION(2) Observed energy sp

acing between doublet like sub-peaks

(3L-3R) are reproduced with δ(f)=0.20 MeV,

which leads to δ(d)=0.15 MeV and δ(p)=0.09 MeV.

(cf. Λ 13 C:δ(p)=0.152+-0.07 MeV)

Page 21: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

CONCLUSION

(3) even the GS peak should consists of two components. (See the exp. GS peak The present analysis leads to the prediction that.)

Page 22: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

CONCLUSION (4)  Right partner(s) contain parity-mixing

contributions :example for 3R: [1p1/2f7/2hole] Λ ( d3/2 )

Page 23: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy
Page 24: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy
Page 25: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

New insight into (π+,K+) spectra for other medium-heavy hypernuclei

Page 26: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy

END

Page 27: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy
Page 28: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy
Page 29: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy
Page 30: Λ spin-orbit splitting deduced from DWIA analysis of the 89 Y (π +,K + ) Λ 89 Y reaction T. Motoba (Osaka E-C U.) D.J. Millener (Brookhaven N.L.) D. Lanskoy