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

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Presentation transcript:

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

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) 195006 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) 052503; PRA 73 (2006) 032502. The Stabilization Method V A Mandelshtam et al, PRL 70(1993) 1932 Ho and co-workers [J Phys B 38 (2005) 3299 and references therein]

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 =0.0306920 and = 0.0000970 [S. Kar and Y. K. Ho, PRA 73 (2006) 032502]

The 2s2 1Se resonance energies and widths of Ps under Debye screening S. Kar and Y. K. Ho, Phys. Rev. A 71 (2005) 052503

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) 032502

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

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) 052503 ] λD Er   0.076030 0.07603044 a 0.076029 b 4.31[-5] 4.3034[-5]a 4.3[-5]b 100 0.066260 70 0.062231 4.29[-5] 50 0.057025 4.26[-5] 40 0.052633 4.21[-5] 30 0.045674 4.09[-5] 20 0.033172 3.64[-5] 15 0.022642 2.95[-5] 10 0.007736 1.16[-5] 9 0.004629 6.32[-5] aY K Ho, Chin J Phys 35(1997) 2345, bA. Igarashi et al, J Phys B 37, (2004) 4221.

The 1,3Po resonace energies and widths of Ps under Debye Screeing EPs(2s)  0.0631559 8.87[-7] 0.0631553* 1.0[-6]* 0.063155† 9.92[-7] † 0.07332659 1.274[-4] 0.07332735* 1.278[-4]* 0.063097 1.64[-5] 0.063097* 1.6[-5]* 0.062500 200 0.0582334 9.58[-7] 0.06838366 1.273[-4] 0.058173 1.61[-5] 0.0576466 100 0.053499 1.31[-6] 0.06356607 1.268[-4] 0.053437 1.51[-5] 0.0530742 70 0.0496161 1.42[-6] 0.0595471 1.259[-4] 0.049557 1.35[-5] 0.0493657 60 0.047535 1.5[-6] 0.0573612 1.25[-4] 0.047482 1.23[-5] 0.0473860 50 0.044723 0.0543595 1.24[-4] 0.044686 0.00001 0.0447073 40 0.04078 0.0499896 1.21[-4] 0.04079 0.0408856 30 0.03489 0.0430748 1.15[-4] 0.03491 0.0350118 25 0.0306 0.037886 1.09[-4] 0.0307323 20 0.0248 0.0306920 9.70[-5] 0.0249 0.0249641 15 0.0168 0.020313 7.23[-5] 0.017 0.0169025 10 0.0059 0.00602 1.4[-5] 0.0060526 *Bhatia and Ho, PRA 42 (1990) 1119 †Igarashi et al , NJP 2 (2000) 17

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.