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Sabyasachi Kar and Y. K. Ho Institute of Atomic and Molecular Sciences

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Presentation on theme: "Sabyasachi Kar and Y. K. Ho Institute of Atomic and Molecular Sciences"— Presentation transcript:

1 Ground state and resonance states of Ps interacting with screened Coulomb (Yukawa) potentials
Sabyasachi Kar and Y. K. Ho Institute of Atomic and Molecular Sciences Academia Sinica, Taipei, Taiwan [18th International IUPAP Conference on Few-Body Problems in Physics] August 21-26, 2006

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4 Introduction Bound and resonance states of Ps in dense plasmas
Ps, a simplest three lepton system (e+, e, e) Experiment : A P Mills, PRL 46 (1981)717; 50 (1983) 671 P Balling et al, NIMB 221 (2004) 200, D. Schwalm et al, 221(2004) 185 D. B. Cassidy et al, PRL 95 (2005) Theory : Y K Ho, PRA 48 (1993) 4780; G W F Drake et al, PRA 65 (2002) 054501; A M Frolov Phys. Lett. A 342 (2005) 430. Ground-state of Ps embedded in Debye plasmas B Saha et al, CPL 373 (2003) 218 Kar and Ho, PRA 71 (2005)052503, CPL 424 (2006) 403 The 1Se and 1, 3Po resonance states of plasma-embedded Ps Kar and Ho, PRA 71 (2005) ; PRA 73 (2006) The Stabilization Method V A Mandelshtam et al, PRL 70(1993) 1932 Ho and co-workers [J Phys B 38 (2005) and references therein]

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11 The Stabilization diagram for the lowest 3Po states of Ps and the fitting of density of states for λD=20. From the fit, we have obtained Er = and = [S. Kar and Y. K. Ho, PRA 73 (2006) ]

12 The 2s2 1Se resonance energies and widths of Ps under Debye screening S. Kar and Y. K. Ho, Phys. Rev. A 71 (2005)

13 The lowest 1,3Po resonance energies of Ps under Debye screening S
The lowest 1,3Po resonance energies of Ps under Debye screening S. Kar and Y. K. Ho, Phys Rev A 73 (2006)

14 The 1,3Po resonance widths of Ps embedded in Debye plasma [Kar and Ho, PRA 73 (2006) 032503]

15 The 2s2 1Se resonance energies of Ps embedded in Debye Plasmas [S
The 2s2 1Se resonance energies of Ps embedded in Debye Plasmas [S. Kar and Y. K. Ho, Phys Rev A 71 (2005) ] λD Er a b 4.31[-5] 4.3034[-5]a 4.3[-5]b 100 70 4.29[-5] 50 4.26[-5] 40 4.21[-5] 30 4.09[-5] 20 3.64[-5] 15 2.95[-5] 10 1.16[-5] 9 6.32[-5] aY K Ho, Chin J Phys 35(1997) 2345, bA. Igarashi et al, J Phys B 37, (2004) 4221.

16 The 1,3Po resonace energies and widths of Ps under Debye Screeing
EPs(2s) [-7] * 1.0[-6]* † [-7] † [-4] * [-4]* [-5] * 1.6[-5]* 200 [-7] [-4] [-5] 100 [-6] [-4] [-5] 70 [-6] [-4] [-5] 60 [-6] [-4] [-5] 50 [-4] 40 [-4] 30 [-4] 25 0.0306 [-4] 20 0.0248 [-5] 0.0249 15 0.0168 [-5] 0.017 10 0.0059 [-5] *Bhatia and Ho, PRA 42 (1990) †Igarashi et al , NJP 2 (2000) 17

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20 Acknowledgements The work is supported by the National Science Council of Taiwan, R.O.C. I am thankful to Dr Y. K. Ho for suggesting me the problems, and for his immense help and cooperation to solve the problems.

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