Outline. Motivation. Motivation. Theoretical method. Main results. Summary. Motivation. Theoretical method. Main results. Summary.

Transcription

1 Outln Thotcal Study on Elcton Impact Exctaton and Dlctonc Rcombnaton of Hghly Chagd Tungstn Ions Thotcal mthod, Zhongwn Wu, and Chnzhong Dong Ky Lab of Atomc and Molcula Physcs & Functonal Matals of Gansu, Collg of Physcs and Elctonc Engnng, Nothwst Nomal Unvsty, Lanzhou, Chna Hlmholtz-Insttut Jna, Gmany (Pof. Stphan Ftzsch) Man sults Summay d Rsach Coodnaton Mtng on Spctoscopc and Collsonal Data fo Tungstn fom V to kv 7 Octob,, IAEA, Vnna Motvaton Thotcal mthod Man sults Summay Tungstn has bn usd as a plasma-facng matal n th dvto and man chamb gons of th Intnatonal Thmonucla Expmntal Racto (ITER) and oth nucla fuson faclts. Elcton mpact xctaton (EIE) and dlctonc combnaton () a th basc atomc pocsss n tungstn plasmas und nucla fuson condtons. Dtald studs on th coss sctons and at coffcnts of ths pocsss a vy ncssay fo modlng and dagnosng th fuson plasma. Und ou IAEA Rsach Agmnt (No:), a systmatc calculaton on th coss sctons and at coffcnts of tungstn ons wth outmost s and p subshlls (fom K-lk to N-lk tungstn ons,.. W + to W + ) has bn plannd. Calculatons of ngy and wavfuncton (MCDF) In th psnt calculatons, th GRASP9/K cods basd on th multconfguaton Dac-Fock (MCDF) mthod has bn usd to poduc ngy lvls and bound stat wavfunctons. Thotcal mthod Man sults Summay In th MCDF mthod, an atomc stat wavfuncton wth paty P and total angula momntum J s appoxmatd by lna combnaton of confguaton stat functons (CSFs) wth th sam symmty n c ( PJM ) C ( ) ( PJM ), wh n c dnots th numb of th CSFs and c (α) th confguaton mxng coffcnts. F. A. Papa, C. F. Fsch, and I. P. Gant, Comput. Phys. Commun. 9, 9 (99) ; P Jönsson, X. H, C. F. Fsch, and I. P. Gant, Comput. Phys. Commun. 77, 97 (7). Calculatons of ngy and wavfuncton (MCDF) Th systm wav-functon s constuctd as an ant-symmtc wavfuncton of th total (N+)-lcton systm consstng of th tagt on plus a contnuum lcton, Calculatons of th EIE coss sctons Sublvl-to-sublvl EIE coss sctons: ( N N p ( ) C( Jt jm tm; JM ) t J x t p u m x / ( ) ( p ) N ) p M t, m t J wh t s th tagt on wavfuncton gnatd by th GRASP9/K, and u m th latvstc Dac spn-obt wavfuncton of th contnuum lcton wth spcfc kntc ngy that can b poducd by usng th latvstc pogam RATIP. Patal EIE coss sctons fo magntc sublvls: S. Ftzsch, Comput. Phys. Commun., (); S. Ftzsch, Comput. Phys. Commun., (). H. L. Zhang, D. H. Sampson, and R. E. H. Clak, Phys. Rv. A, 9 (99) ; Z. W. Wu, J. Jang, and C. Z. Dong, Phys. Rv. A, 7 (); Phys. Rv. A, 7 ().

2 Calculatons of th at coffcnts Lvl-to-lvl at coffcnts: jk g A ( ) xp, m g A A j a jk ) g / j Aj a ' ' ' ' k jk j wh j s th kntc ngy of th contnuum lcton, g and g j dnots a th statstcal wghts of th lvls and j, A jk and A j a th adatv and Aug dcay ats. ( t) A P jk k a Aj j ( VCoul VBt ) In ou calculatons of th at coffcnts, w us th FAC cod to poduc th adatv and Aug dcay ats. j Thotcal mthod Man sults Summay M. F. Gu, Astophys. J. 9, (); Can. J. Phys., 7 (). Th fst pat fnshd wok Elcton mpact xctaton and lvant polazaton of th p / s / adatons fom W + to W 7+ Th polazaton of th stongst M-band lns fom th EIE and pocsss fo Cu- to G-lk tungstn ons Dlctonc combnaton at coffcnts of hghly chagd tungstn ons Elcton mpact xctaton and lvant polazaton of th p / s / adatons fom W + to W 7+ Compasons of p / s / tanston ngs and pobablts fom W + to W 7+ Spctum of th p / s / mssons fom lthumlk to fluon-lk tungstn codd on Sup EBIT. Ths spctum poducd followng th lcton mpact xctaton! [a] Y. Podpaly, t al. Phys. Rv. A, (9) Psnt: GRASP9 packag basd on th MCDF mthod. Th maxmal dffnc of ngy btwn th psnt and oth sults s wthn.%. Total and patal coss sctons fo th s / p / xctaton of W + - W 7+ : ( / ) 7 W s p J /( / ) ' : ( ) 7 W s s p J /( ) ' 9 W : s s p ( J / ) / ( / / / / /( / ) ' s s p p J W : s s p ( J ) s s p p J ) ' EIE coss scton / - cm (a)w 7+ J= / / (b)w 7+ J= M=/ -/ M= M=/ / M= M=/ / J =/ / (c)w 9+ (d)w + J= M= M=/ -/ M= M=/ / M=/ / Incdnt ngy (thshold unt) Fo L-, B-lk tungstn ons, th patal coss scton fo xctaton to th M f =/ sublvl s lag than th M f =/, and -/, th coss scton fo th M f =-/ s th smallst. Fo B-, C-lk tungstn ons, th patal coss scton fo xctaton to th sublvl M f = s sgnfcantly lag than M f =. Such unqual populaton wll affct th msson popts of ths spctum! X. Y. Ma, C. Z. Dong, Z. W. Wu, J. Jang, and L. Y. X, Acta Phys. Sn., (). Lna polazaton of th p / s / mssons followng th EIE pocsss of W + - W 7+ Dg of lna polazaton Fo J= J= tanstons (B-lk and C-lk W ons) Fo J=/ J=/ tanstons (L-lk and B-lk W ons) Incdnt ngy (thshold unt) P P ( ) W 7+ (L) W 7+ (B) W 9+ (B-) W + (C) : ( / ) 7 W s p J /( / ) ' s s h 7 W : ( ) s ( ) ' / s s h 9 W : s s p/ J / /( / ) ' s s p / h / s p J / ( / ) s s p p J W : s s p ( J ) s s p p ( J ) ' / / s s p h Th dgs of lna polazaton dcas monotoncally as ncdnt lcton ngy ncas. Th polazaton of th stongst M-band lns fom th EIE and pocsss fo Cu-lk to G-lk tungstn ons X. Y. Ma, C. Z. Dong, Z. W. Wu, J. Jang, and L. Y. X, Acta Phys. Sn., ().

3 Tanston ngs and pobablts of nf à d (n=,,) mssons fom W+ to W+ Total and patal coss sctons fo th d à nf (n=,,) xctatons of N-lk to G-lk tungstn ons Th numbs n backts psnt pows of. B: Babushkn Gaug, C: Coulomb Gaug. Th psnt sults a n good agmnt wth NIST data, th maxmal dscpancy s wthn.%. L. Y. X, X. Y. Ma, C. Z. Dong, Z. W. Wu, Y. L. Sh, and J. Jang, J. Quant. Spctosc. Radat. Tans., (). Lna polazaton of th nf à d (n=,,) mssons followng th EIE pocsss of N-lk to G-lk tungstn ons. W + (J=-) f 7/-d/(N-) f /-d/(n-) f 7/-d/(N-) f /-d/(n-) f 7/-d/(N-) f /-d/(n-9)... W +. (J=/-/) f 7/-d/(Cu-) f /-d/(cu-) f 7/-d/(Cu-) f /-d/(cu-) f 7/-d/(Cu-) f /-d/(cu-) Dg of lna polazaton... f 7/-d/(Zn-) f /-d/(zn-) f 7/-d/(Zn-) f /-d/(zn-) f 7/-d/(Zn-) f /-d/(zn-9)... Rsonant ngs fo th pocsss of fnally Cu-lk to G-lk tungstn ons s - s s + s Fo J= à J= tanstons (B-lk and C-lk W ons) P= Fo J=/ à J=/ tanstons (L-lk and B-lk W ons) P = s+s (s -s ) Ø Th lna polazatons of th nf à d lns ncas shaply wth th ncasng lcton ngy bfo statng to dcas at hgh ngy gon, and thy ach th spctv maxmum at about. tms th thshold ngs. W + (J=-). L. Y. X, X. Y. Ma, C. Z. Dong, Z. W. Wu, Y. L. Sh, and J. Jang, J. Quant. Spctosc. Radat. Tans., (). W + (J=/-/).. A W + (J=-) f 7/-d/(G-) f /-d/(g-) f 7/-d/(G-) f /-d/(g-) f 7/-d/(G-) f /-d/(g-9)... Ø Whn th ncdnt lcton ngs a gat than about tms of th thshold ngs, th dg of lna polazaton fo f à d lns dcass vy slowly, howv, th dg of lna polazaton fo f, f à d lns dcass apdly. f 7/-d/(Ga-) f /-d/(ga-) f 7/-d/(Ga-) f /-d/(ga-) f 7/-d/(Ga-) f /-d/(ga-). Th captu fnal stats (doubly xctd stats) a th sam as th xctd stats n th lcton mpact xctaton pocss, spctvly. f sonant ngy s not gvn snc th f captu pocss can t occu. Engy (thshold unt) L. Y. X, X. Y. Ma, C. Z. Dong, Z. W. Wu, Y. L. Sh, and J. Jang, J. Quant. Spctosc. Radat. Tans., (). L. Y. X, X. Y. Ma, C. Z. Dong, Z. W. Wu, Y. L. Sh, and J. Jang, J. Quant. Spctosc. Radat. Tans., (). Total and patal captu coss sctons of fnally Cu-lk to G-lk tungstn ons Lna polazaton of th nf à d (n=, ) mssons followng th pocsss of fnally Cu-lk to G-lk tungstn ons Cu-lk + d d 9 s(, ) f 7 ( J = / ) d s( J = / ) + hn + d d 9 s(, ) f ( J = / ) d s( J = / ) + hn + d s d - s f ( J = ) Zn-lk 7 d s ( J = ) + hn - + d s d s f ( J = ) d s ( J = ) + hn Ga-lk + d s d - s p(, ) f 7 ( J = / ) d s p ( J = / ) + hn + d s d - s p(, ) f ( J = / ) d s p ( J = / ) + hn G-lk Compad wth th lcton mpact xctaton coss sctons, th captu coss sctons a lag than thos at all gvn ncdnt lcton ngs fo Cu-lk to G-lk tungstn ons. Fo DM >, s j =. L. Y. X, X. Y. Ma, C. Z. Dong, Z. W. Wu, Y. L. Sh, and J. Jang, J. Quant. Spctosc. Radat. Tans., (). (s -s ) P = s+s P= s - s s + s + d s p d - s p f 7 ( J = ) d s p ( J = ) + hn + d s p d - s p f ( J = ) d s p ( J = ) + hn Th dffncs of lna polazaton btwn th EIE and a vy lag! L. Y. X, X. Y. Ma, C. Z. Dong, Z. W. Wu, Y. L. Sh, and J. Jang, J. Quant. Spctosc. Radat. Tans., (). Compason of coss sctons btwn th psnt calculatons and pvous wok Dlctonc combnaton at coffcnts of hghly chagd tungstn ons of ntally N-lk tungstn: d + - à d9ll' à d l'' + hv Rf.: E. Bha, A. Plg, R. Doon, P. Mandlbaum, J. L. Schwob, J. Quant. Spctosc. Radat. Tans., 9 (997)

4 Total and patal at coffcnts of ntally B-lk tungstn ons Total and patal at coffcnts of ntally B-lk tungstn ons at coffcnt (cm /s) d p s total p s W 9+ - kv at coffcnt (cm /s) total n= n= n= - (V). - V - (V) Intmdat doubly xctd confguatons: (s p d ) - s p nln'l'(n=-, l'=-) and l (s p ) - nln'l'(n=-, l'=-). M. J. L, Y. B. Fu, M. G. Su, C. Z. Dong, K. Fumho, Plasma Sc. Tchnol., (). Total at coffcnts of ntally N-lk to Rb-lk tungstn ons Intmdat doubly xctd confguatons: (s p d ) - s p nln'l'(n=-, l'=-) and l (s p ) - nln'l'(n=-, l'=-). M. J. L, Y. B. Fu, M. G. Su, C. Z. Dong, K. Fumho, Plasma Sc. Tchnol., (). Ft paamts fo th total at coffcnts of ntally N-lk to Rb-lk tungstn ons at coffcnt (cm /s) Rb-lk W W + K-lk W 9+ B-lk W + W + As-lk G-lk W + W + W + W + (V) Ga-lk Zn-lk Cu-lk Und th IAEA Rsach Agmnt (No:) wth us, a systmatc calculaton on th coss sctons and at coffcnts of tungstn ons wth outmost s and p subshlls (fom K-lk W + to N-lk W + ons) has bn plannd. B. W. L t al., PRA, 7 (); X. Z. Ma, t al., Nucl. Phys. Rv., () M. J. L, t al., Plasma Sc. Tchnol., ()... N-lk Th numbs n backts psnt pows of. B A F. C. Mng, t al., J. Quant. Spctosc. Radat. Tansf. 9, () Th total at coffcnts a fttd to th followng smmpcal fomula (n cm s - ): Usng th ft paamts lstd n th tabl on can poduc th psntly calculatd at coffcnts wth dscpancs lss than % at th lcton tmpatus abov V. Howv, on should b caful to us at tmpatus blow V snc at coffcnts a vy snstv to th sonant ngs n that gon. B. W. L t al., PRA, 7 (); X. Z. Ma, t al., Nucl. Phys. Rv., () M. J. L, t al., Plasma Sc. Tchnol., ()... Th scond pat ongong wok Influnc of ntal-lvl Boltzmann dstbuton upon th at coffcnts Compason of th RDW and R-matx calculatons fo th lcton mpact xctaton Influnc of ntal-lvl Boltzmann dstbuton upon th at coffcnts Boltzmann dstbuton of ntal-stat lvls at coffcnts of ntally W + ons Ratos of UBo l/ug Ratos of UBo l/ug W + d lvl lvl lvl lvl. lvl lvl lvl 7 lvl lvl 9. KT (V) W + (f ) lvl lvl lvl lvl lvl lvl lvl 7 lvl lvl 9 lvl lvl lvl KT (V) U bol = U g = Ratos of UBo l/ug.. Sn + (d ) lvl lvl lvl lvl lvl lvl lvl 7 lvl lvl 9 KT (V) g E g E g g g G g j f g Fo ntal confguaton d, th a 9 fnstuctu lvls. In fact, thy a populatd by th Boltzmann dstbuton. Y. B. Fu t al. n ppang jk /cm s Statstcal wghts lvl g Intal confguaton : [N] s p d /cm s - /V /V g g U g = g G Intmdat doubly xctd confguaton: [N] s p dfd Boltzmann dstbuton lvl g g E U bol = g E Y. B. Fu t al. n ppang to Phys. Rv. A g j f g jk

5 Total at coffcnts of ntally W + ons 7% -9 Statstcal wghts dstbuton Bol.-DAC nbol.-dac Bol.-nDAC nbol.-ndac Bol.: Consd th contbuton fom Boltzmann dstbuton (cm s - ) - - Boltzmann dstbuton wth DAC wthout DAC DAC: Dcays to autoonzng lvls possbly followd by adatv cascads Compason of th RDW and R-matx calculatons fo th lcton mpact xctaton [N] s p dnln'l' (n=-, n'=-) - KT (V) % of ntally W + ons: s p d s p d nl n l (n=-, n =-) s p d nflf nf lf (nf=-, nf =-) Y. B. Fu t al. n ppang to Phys. Rv. A Atomc lvls of nutal N. EIE coss sctons fo th s p s p s xctaton of nutal N Coss scton ( - cm )..... s[/] Phllps t al. Khakoo t al. Rgst t al. Modl B BSR-7 BSR- Modl A BSR- Coss scton ( - cm )... s[/] Suzuk t al.. Incdnt ngy(v). Incdnt ngy(v) s'[/] s'[/] Rf.: O.Zatsanny and K. Batschat, Phys. Rv. A, 77 (). Coss scton ( -9 cm ) Coss scton ( - cm ) 9 Modl A sp l + s p l' (l, l' =,, ) 7 CSFs Modl B Modl A +sp nl + s p n' l' (n, n' =, l, l' ) + sp l + s p l (l=, ) CSFs Incdnt ngy (V) Incdnt ngy(v) EIE coss sctons fo th s p s p p xctaton of nutal N EIE coss sctons fo th s p s [/] s p p xctaton of nutal N Coss scton( - cm ) 9 p[/] Chlton t al. BSR-7 BSR- Modl B Modl A Coss scton ( - cm ) p'[/] Coss scton ( - cm ) p[/] Boffad t al. Modl B Cascad BSR-7 Modl A Coss scton ( - cm ) p'[/] Incdnt ngy(v) Incdnt ngy(v) Incdnt ngy(v) Incdnt ngy(v) Coss scton( - cm ) p'[/] Incdnt ngy(v) Expt. M. A. Khakoo, t al., Phys. Rv. A, 7 (). J. B. Boffad, t al., Phys.Rv.A, 7 (). J. E. Chlton, t al., Phys. Rv. A, 7 (). T. Y. Suzuk, t al., Phys.Rv.A 9, 7 (99). D. F. Rgst, t al., Phys. Rv. A 9, 79 (9). M. H. Phllps, t al., Phys. Rv. A, 7 (9). Rf. Tho. R-matx mthod Coss scton ( - cm ) p[/] Incdnt ngy(v) Expt. M. A. Khakoo, t al., Phys. Rv. A, 7 (). J. B. Boffad, t al., Phys.Rv.A, 7 (). J. E. Chlton, t al., Phys. Rv. A, 7 (). T. Y. Suzuk, t al., Phys.Rv.A 9, 7 (99). D. F. Rgst, t al., Phys. Rv. A 9, 79 (9). M. H. Phllps, t al., Phys. Rv. A, 7 (9). Rf. Tho. R-matx mthod Summay Thotcal mthod Man sults Summay Th dg of lna polazaton of th p / s / x-ay mssons followng th EIE of W + - W 7+ ons has bn nvstgatd. W also studd th lna polazaton of th stongst M-band lns followng both th EIE and of W + - W + ons. Total at coffcnts of ntally hghly chagd W 7+ - W + ons hav bn stmatd by usng th FAC cod und th IAEA Rsach Agmnt (No:). Th ffct of Boltzmann dstbuton of ntal-stat lvls upon th at coffcnts s cuntly und consdaton. W compad EIE coss sctons of nutal N fom dffnt modls togth wth oth thotcal and xpmntal sults. Accuat coss sctons can b poducd by nlagng th bass fo constuctng atomc stat functons.

6 D. Luyou X Pof. Yanbao Fu Mast Xaoyun Ma D. Jun Jang PhD. Zhongwn Wu Thank you fo you attnton! Mssng: D. Bown L Acknowldgmnt