Застосування методу унітарного перетворення Окубо в теорії фотомезонних процесів на ядрах: Автореф. дис… канд. фіз.-мат. наук / Л.Г. Левчук, Харк. д

OA?E?ANUeEEE AeA?AEAAIEE OI?AA?NEOAO

EAA*OE Eaii?ae Aaiiaae?eiae/

OAeE 539.172

CANOINOAAIIss IAOIAeO OI?OA?IIAI IA?AOAI?AIIss IEOAI

A OAI??? OIOIIACIIIEO I?IOeAN?A IA ssAe?AO

01.04.16 — o?ceea yae?a, aeaiaioa?ieo /anoeiie ? aenieeo aia?a?e

Aaoi?aoa?ao aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa o?ceei-iaoaiaoe/ieo iaoe

Oa?e?a — 1999

Aeena?oaoe??th ? ?oeiien

?iaioo aeeiiaii a Iaoe?iiaeueiiio iaoeiaiio oeaio?? «Oa?e?anueeee
o?ceei-oaoi?/iee ?inoeooo», i. Oa?e?a

Iaoeiaee ea??aiee:

aeieoi? o?ceei-iaoaiaoe/ieo iaoe

Oaaaei Ieaenaiae? A?eoi?iae/,

i?ia?aeiee iaoeiaee ni?a?ia?oiee
Iaoe?iiaeueiiai iaoei-

aiai oeaio?o «Oa?e?anueeee
o?ceei-oaoi?/iee ?inoeooo»

Io?oe?ei? iiiiaioe:

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani? Eiaooe?i Ieaenaiae? Iao?iae/,
i?ia?aeiee iaoeiaee ni?a?ia?oiee ?inoeoooo oai?aoe/ii? o?ceee ?i.
I.I.Aiaiethaiaa IAI Oe?a?ie, i. Ee?a;

eaiaeeaeao o?ceei-iaoaiaoe/ieo iaoe Ceia Aieiaeeie? A?eai?iae/, aeioeaio
eaoaae?e oai?aoe/ii? yaea?ii? o?ceee Oa?e?anueeiai aea?aeaaiiai
oi?aa?neoaoo.

I?ia?aeia onoaiiaa:

Ia’?aeiaiee ?inoeooo yaea?ieo aeine?aeaeaiue, Eaai?aoi??y oai?aoe/ii?
o?ceee ?i. I.I.Aiaiethaiaa, i. Aeoaia Iineianueei? iaeano?, ?in?y.

Caoeno a?aeaoaeaoueny » 14 » o?aaiy 1999?. i 15-00 aiaeei? ia
can?aeaii? Niaoe?ae?ciaaii? a/aii? ?aaee Ae 64.051.12 a Oa?e?anueeiio
aea?aeaaiiio oi?aa?neoao? ca aae?anith: i. Oa?e?a, i?-o Eo?/aoiaa, 31,
aoae. 301.

C aeena?oaoe??th iiaeia iciaeiieoeny o Oeaio?aeuei?e iaoeia?e
a?ae?ioaoe? Oa?e?anueeiai aea?aeaaiiai oi?aa?neoaoo (310077, i.Oa?e?a,
i.Naiaiaee 4)

Aaoi?aoa?ao ?ic?neaii » 15 » aa?aciy 1999?.

A/aiee nae?aoa?

ciaoe?ae?ciaaii? a/aii? ?aaee __________________ Ienueiaiaoeueeee
N.I.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie. I?ioyaii aeanyoe??/ ?icn?yiiy aeaeo?ii?a ? ?aaeoe??
i?ae ae??th ?aaeueieo oioii?a ? aaaeeeaeie ?ino?oiaioaie aeine?aeaeaiue
no?oeoo?e ioeeii?a ? yaea?. Aeae?eaia ?ieue yaea?ieo ?aaeoe?e aeaiiai
eeano coiiaeaia a?aeiiniith iaeeciith eiinoaioe aeaeo?iiaai?oii? (a.i.)
aca?iiae?? = e2/41/137, ui aeicaiey? iaaiith i??ith ?icae?eyoe aoaeoe,
iaoiiaeai? iniaeeainoyie yaea?ii? no?oeoo?e ? iaoai?ciaie aca?iiae?? o
ao?aeiiio eaiae?. O ii??aiyii? c aae?ii-yaea?ieie ?aaeoe?yie oai?aoe/iee
iien aeaeo?i- ? oioiyaea?ieo i?ioean?a ni?iuo?oueny: c aeinoaoiueith
aeey o?ceee neeueieo aca?iiae?e oi/i?noth a?i iiaea aooe aeeiiaiee o
ieae/iio ii?yaeeo ca , a ?ioi?iaoe?y i?i yaea?io aeeiai?eo, yea i?e
oeueiio caeiaoaa?oueny, ? a iaaiiio niene? a?eueo «/enoith». Aa??thaaiiy
e?iaiaoe/ieo oiia aea? iiaeeea?noue aeine?aeaeoaaoe no?oeoo?i?
aeanoeaino? nenoaie a oe?ieiio ae?aiacii? oa?aeoa?ieo a?aenoaiae, ui,
cie?aia, aeicaiey? caeiaoaaoe a?aeiiino? i?i aeniei?iioeueni? eiiiiiaioe
yaea?ieo oaeeueiaeo ooieoe?e ? oi?ioaeoi?e aae?ii?a, oe?ii? aeey
?icoi?iiy i?e?iaee yaea?ieo nee.

I?eaaaeeaith ? ?aeay i?i aaeeoeaiee oa?aeoa? (iaeii/anoeieiaee iaoai?ci)
aca?iiae?? oioiia, ui iae?oa?, c ioeeiiaie yae?a-i?oai?. Oea iiaeaiiy,
yea neeaaea? iniiao ?iioeueniiai iaaeeaeaiiy (?I), ia caea?oueny,
iaeiae, aacaeiaaiiei c o?ce/ii? oi/ee ci?o: ioeeiie a yae??
iai?iththoueny a??ooaeueieie iaciiaie, aiane?aeie /iai aeieeathoue
aeiaeaoeia? aianee aei a.i. no?oio yae?a — iaciii? iai?ii? no?oie (IIN).
Ine?eueee iaea?eueo eaaeith /anoeieith, ui ii?iaeaeo? neeueio
aca?iiae?th i?ae ioeeiiaie, ? i?ii, oi naia eiio iaeaaeeoue nooo?aa
?ieue a oi?ioaaii? IIN. Oaeei /eiii, a?aeaoe yaea?ii? nenoaie ia a.i.
cao?aiiy aeyaey?oueny caeaaeiei a?ae a?eueo neeaaeieo iaoai?ci?a
oioiooai?aiiy i?ii?a ia ioeeiiao, a a?aeiiino? i?i (*)NN’ ?aaeoe?th ia
ca’ycaiiio ioeeii? iaaoaathoue aaaeeeaiai cia/aiiy aeey ?icoi?iiy
yaea?ii? no?oeoo?e. A?aeiia?aeia ?ioi?iaoe?y iiaea aooe ciaeaeaia oeyoii
aea/aiiy oioiiaciiieo i?ioean?a ia yae?ao, yea, c?icoi?ei, ia?
naiino?eio (iica a?aeiioaiiy aei IIN) oe?ii?noue aeey ?icaeoeo o?ceee
neeueieo aca?iiae?e.

Oioi(aeaeo?i-)ia?iaeaeaiiy i?iia ia ioeeii? ? iaeiioeeiiieo nenoaiao
iiaea aeaoe aeiaeaoeia? a?aeiiino? i?i N- oa NN-aca?iiae??.

Cia/iee ?ioa?an yaeythoue niaith aeine?aeaeaiiy oeyoii aiae?co oeeo
?aaeoe?e no?oeoo?e aa??iiieo ?aciiain?a. I?e oeueiio i?iya aai
a?aenooi?noue aeayeeo ?aciiainieo noai?a iiaea noaoe neaiaeii, ui
i?aeoaa?aeaeo? /e noaaeoue i?ae noii?a ?nioth/? oyaeaiiy i?i neiao???,
ye? eaaeaoue a iniia? yaea?ieo nee.

Aeine?aeaeaiiy ia?iaeaeaiiy i?iia a a?eyii?iaia?e iaeano? (i?e aia?a?yo,
iaioeo ca aia?a?th caoaeaeaiiy iaeieae/iai (33) ?aciiainiiai noaio a
nenoai? i?ii-ioeeii) oaeiae ciaoiaeyoueny ia ia?aaeiueiio e?a? no/anii?
yaea?ii? o?ceee. A?aae??ioia ?iaa??aioi?noue ? (ca aeayeeo aeiaeaoeiaeo
i?eiouaiue) a?iioaca i?i /anoeiaa caa?aaeaiiy aen?aeueiiai no?oio (*CAO)
aeicaieythoue caeiaooe oae caai? iecueeiaia?aaoe/i? oai?aie (IAO), ye?
aecia/athoue ii?iaiao aiie?ooaeo ?aaeoe?? NN’ ia a?eueiiio ioeeii? c
oi/i?noth, ui oa?aeoa?eco?oueny a?aeiioaiiyi ian i?iia oa ioeeiia m /m.
Oaeei /eiii, iiaaae?iea niinoa?aaeoaaieo aeey oioi- oa aeaeo?iooai?aiiy
i?iia a?ey ii?iaa oaeiae iiaea aooe iia’ycaia c ooiaeaiaioaeueieie
aeanoeainoyie neeueieo aca?iiae?e.

Aaaeeeaith eaieith ye a aa??iii?e niaeo?ineii??, oae ? a ia?aa??oe?
ia?aaeaa/aiue IAO ? ?ioi?iaoe?y i?i aiie?ooaeo ia?iaeaeaiiy i?iia ia
iaeo?ii?, yeo iiaeia ae?noaoe c aiae?co ?aaeoe?? (*)dNN. I?e oeueiio,
iaeiae, ciiao aeieea? i?iaeaia a?aooaaiiy IIN, a oaeiae iaiao?aei?noue
ioe?iie ?ie? aoaeo?a noiaeo c iaieiiee (off-shell aoaeo?a) a
«aeaiaioa?i?e» (*)NN’ aiie?ooae? oa aca?iiae?? a e?ioeaaiio noai? (AEN).

A?aecia/eii, ui ae?enio ?ieue a a.i. aca?iiae?yo c? ca’ycaieie ioeeiiaie
off- shell aoaeo?a, AEN ? IIN aaaeei c?icoi?oe aac iaaiiai ocaiaeaeaiiy
inoaii?o c NN- oa NN-aca?iiae?yie. ?aaoeyoi?ii o anoaiiaeaii?
a?aeiia?aeieo ca’yce?a ia? aooe i?eioeei a?aae??ioii? ?iaa??aioiino?,
iane?aeeii yeiai ? caa?aaeaiiy a.i. no?oio yaea?ii? nenoaie. C ?ioiai
aieo, ni?aaaeaeoaaiiy ??aiyiiy iaia?a?aiino? aeey iia?aoi?a a.i. no?oio
aeyaey?oueny iaaeinoaoi?i aeey caaacia/aiiy a?aae??ioii? iacaeaaeiino?
(AI) aiie?ooaee a.i. ia?aoiaeo. Oiio i?iaeaia caaacia/aiiy AI
?acoeueoao?a i?aeoe/ieo ?ic?aooie?a noaiiaeoue iaaio o?oaei?noue aeey
oai??? oioiiaciiieo i?ioean?a ia yae?ao ? iio?aao? niaoe?aeueiiai
?icaeyaeo.

Nii?oaeaeaiiy i?enei?thaa/?a aeaeo?ii?a c aenieei eiao?oe??ioii
caiiaiaiiy oaeeo, ye MAMI oa ELSA o I?ia//ei? oa TJNAF o NOA) a?aee?eaa?
iia? ai?eciioe a aeine?aeaeaii? no?oeoo?e aae?ii?a ? yaea?. Cie?aia,
ei?enia ?ioi?iaoe?y iiaea aooe caeiaooa o i?aoeec?eieo aenia?eiaioao c
oioi- ? aeaeo?iia?iaeaeaiiy i?ii?a, aeeth/ath/e aei??e iiey?ecaoe?eieo
niinoa?aaeoaaieo c ?iciiae?eii no?oeoo?ieo ooieoe?e (NO). I?aee?aneeii,
ui oe? niinoa?aaei?, ye? caeaaeaoue a?ae ?ioa?oa?aioe?? ??ciiiai?oieo
aiie?ooae ?aaeoe??, /anoi aeyaeythoueny aeoaea /ooeeaeie aei caaaeaieo
aeua aoaeo?a noiaeo c iaieiiee, AEN oa aiane?a IIN.

Oaeei /eiii, no/aniee noai o?ceee a.i. aca?iiae?e c ioeeiiaie ? yae?aie,
c iaeiiai aieo, aeaco? ia aeooaeuei?noue ?ic?iaee iiaeo i?aeoiae?a a
oai??? oioiiaciiieo i?ioean?a ia yae?ao, a c ?ioiai — aecia/a? aenie?
aeiiae aei ieo. Iine?aeiaiee aeeiai?/iee ?icaeyae yaea?ieo ?aaeoe?e c
ia?iaeaeaiiyi (aai iiaeeiaiiyi) iaciia aeoiaeeoue ca iaae?
iioaioe?aeueiiai i?aeoiaeo, o?aaeeoe?eiiai aeey yaea?ii? o?ceee, ?
iiaeiai a?oiooaaoeny ia oai?aoeei-iieueiaiio iien? aae?iiii? cenoaie oa
?? aca?iiae?? c a.i. iieai. Iaeiei c cania?a, ui aeicaieythoue
anoaiiaeoe oaeee ca’ycie, ? oae caaiee iaoiae oi?oa?iiai ia?aoai?aiiy,
canoinoaaiith yeiai o oai??? oioiiaciiieo i?ioean?a ia yae?ao i?enay/aia
aeena?oaoe?y.

Aeaia ?iaioa cae?enithaaeanue ca?aeii c oaiaoe/iei ieaiii IIOe OOO? oa
i?iaeoii AeEIO Oe?a?ie ? 9.02.01/075-93 (1993 — 1996 ??.).

Iaoa ? caaea/? aeine?aeaeaiiy:

— iiaoaeiaa ia iniia? iaoiaeo oi?oa?iiai ia?aoai?aiiy aoaeoeaieo
aca?iiae?e a oai??? oioiiaciiieo i?ioean?a ia yae?ao;

— anoaiiaeaiiy ca’yce?a ?icaeiaiiai oi?iae?cio c ?ioeie iienaie
oioiiaciiieo i?ioean?a ia ioeeiiao ? yae?ao;

— aea/aiiy no?oeoo?e aoaeoeaiiai no?oio (eeaneo?eaoe?y ie?aieo aiane?a
aei aiie?ooaee oioiia?aeaeaiiy i?iia ia yae??);

— caaacia/aiiy AI ia/eneaiue niinoa?aaeoaaieo aeey iiiaeeiieiai
oioiooai?aiiy i?ii?a ia yae?ao;

— ciaoiaeaeaiiy aiae?oe/ieo ae?ac?a aeey aiie?ooaee
oioi(aeaeo?i-)ia?iaeaeaiiy i?iia ia ca’ycaiiio ioeeii? a a?eyii?iaia?e
iaeano? c o?aooaaiiyi no?oeoo?e aae?ii?a;

— ia/eneaiiy NO aeey ?aaeoe?? 2H(e,e’+)nn iiaeeco ii?iaa c aeoiaeii ca
?aiee ?I ? ioe?iea ?ie? aoaeo?a oa?i??anueeiai ?ooo ? ca’yceo a
aeaeo?iooai?aii? i?ii?a ia aeaeo?ii?;

— ii??aiyiiy caeiaooeo ?acoeueoao?a c aenia?eiaioaeueieie aeaieie ?
?acoeueoaoaie ?ic?aooie?a a ?ioeo oai?aoe/ieo i?aeoiaeao.

Iaoeiaa iiaecia ciaeaeaieo ?acoeueoao?a. I?ioeaaeo?a iiaoaeiae
aoaeoeaieo aca?iiae?e, ui a?oioo?oueny ia iaoiae? oi?oa?iiai
ia?aoai?aiiy, aia?oa canoiniaaia a oai??? iiiaeeiieiai oioiooai?aiiy
i?ii?a ia yae?ao. Aeacaii nain oaaaeaieo aoaeoeaieo aai?eueoii?ai?a ?
aea/aia caaaeueia no?oeoo?a aoaeoeaiiai no?oio. Oeyoii ia?oo?aaoeaiiai
aiae?co iia?aoi?a aoaeoeaiiai no?oio aeyaeaii, ui a ieae/iio ii?yaeeo ca
N-aca?iiae??th aeai/anoeieiaee aianie aei aiie?ooaee oioiiaciiiiai
i?ioeano ia yae?? iaa?oa?oueny ia ioeue. Ciaeaeaii aiae?oe/i? ae?ace
aeey iaeii/anoeieiaiai aianeo aei aiie?ooaee oioi(aeaeo?i-)ooai?aiiy
i?iia ia yae?? a a?eyii?iaia?e iaeano? c o?aooaaiiyi no?oeoo?e aae?ii?a.
Ioe?iaii ?ieue aoaeo?a noiaeo c aia?aaoe/ii? iaieiiee.

Aeey ?ica’yceo i?iaeaie caaacia/aiiy iacaeaaeiino? ?acoeueoao?a
ia/eneaiue a?ae aeai?o eae?a?iaee a.i. iiey ?icaeyiooi iaoiae, ui
a?oioo?oueny ia ocaaaeueiaii? oai?aie C?aa?oa ? aia?oa canoiniaaiee i?e
ia/eneaii? aiie?ooae oioiiaciiieo i?ioean?a ia yae?ao. Aeey o?ce/ii?
?ioa?i?aoaoe?? caeiaooeo ae?ac?a, ye? ? ni?aaaaeeeaeie a aeia?euei?e
eae?a?iaoe?, iaaaaeaii oaeiae i?ea?iaeueia aeaaaeaiiy oeueiai
ocaaaeueiaiiy aeey aeiaaeeo oioiiiaeeiaiiy ia?aeyoea?nonueeith nenoaiith
ca?yaeaeaieo /anoeiie, oaeeueia? ooieoe?? yei? o?aineyoe?eii
?iaa??aioi?. ?icaeyiooi oioiia?iaeaeaiiy i?iia ia a?eueiiio ioeeii?, ?
ciaeaeaii iia? ni?aa?aeiioaiiy aeey aiie?ooaee oe??? ?aeoe?? iiaeeco
ii?iaa.

A ?aieao ?icaeiaiiai i?aeoiaeo ?ic?aoiaaii aeeoa?aioe?aeuei? ia?a??ce
?aaeoe?e 2H(,+)nn ? 2H(e,e’+)nn, a oaeiae NO aeey ?aaeoe?? ?
2wmetafile8? ??????? ????????
?????????????yyy????.??????1?????? ??????? ?`
???&? ?MathType??????` ? ???u?th??????Aeena?oaio caoeua? oae?
?acoeueoaoe:

1) iiaoaeiao aoaeoeaieo aca?iiae?e a oai??? iiiaeeiieiai oioiooai?aiiy
i?ii?a ia yae?ao, ui a?oioo?oueny ia iaoiae? oi?oa?iiai ia?aoai?aiiy
Ieoai;

2) anoaiiaeaiiy naino oaaaeaieo aoaeoeaieo aai?eueoii?ai?a ? aea/aiiy
caaaeueii? no?oeoo?e iia?aoi?a aoaeoeaiiai no?oio c eeaneo?eaoe??th
ie?aieo aiane?a;

3) ciaeaeai? aiae?oe/i? ae?ace aeey aiie?ooaee oioi(aeaeo?i-)ooai?aiiy
i?iia ia ca’ycaiiio ioeeii? a a?eyii?iaia?e iaeano? c o?aooaaiiyi
no?oeoo?e aae?ii?a oa ioe?ieith ?ie? aoaeo?a noiaeo c aia?aaoe/ii?
iaieiiee;

4) aeyaeaiiy aca?iii? eiiiainaoe?? aeai/anoeieiaeo aiane?a aei
aiie?ooaee oioiiaciiiiai i?ioeano ia yae?? o ieae/iio ii?yaeeo ca a.i.
oa N-aca?iiae??th;

5) caaacia/aiiy AI i?e ?ic?aooieao aiie?ooae a.i. ia?aoiae?a ia iniia?
ocaaaeueiaiiy oai?aie C?aa?oa;

6) ?acoeueoaoe ?ic?aooie?a aeeoa?aioe?aeueieo ia?a??c?a ?aaeoe?e
2H(,+)nn ? 2H(e,e’+)nn, a oaeiae NO aeey ?aaeoe?? 2wmetafile8?
??????? ???????? ?????????????yyy????.??????1??????
??????? ?` ???&? ?MathType??????` ? ???u?th??????7)
ii??aiyiiy caeiaooeo ?acoeueoao?a c aenia?eiaioaeueieie aeaieie ?
?acoeueoaoaie ia/eneaiue, ui a?oioothoueny ia ?I, c a?aecia/aiiyi ?ie?
aoaeo?a oa?i??anueeiai ?ooo oa ca’yceo ioeeiia a aeaeo?iooai?aii?
-iacii?a ia aeaeo?ii?.

Iaoeiaa oa i?aeoe/ia cia/aiiy ?iaioe. ?icaeiooi i?aeo?ae a oai???
oioiiaciiieo i?ioean?a ia yae?ao, ui aeicaiey? anoaiiaeoe ca’ycee i?ae
iioaioe?aeueiei iienii aae?iiii? nenoaie ? ?icaeyaeii, caniiaaiei ia
oai?aoeei-iieueiaiio oi?iae?ci?. Oeae i?aeo?ae aea? iiaeeea?noue
cae?enithaaoe ?ic?aooiee aiie?ooae ?aaeoe?e (*)AB c aeoiaeii ca iaae?
?I, yeei o?aaeeoe?eii iineoaiaothoueny a yaea?i?e o?ceoe?, ? ioe?ieoe
?ieue a?aeiia?aeieo iii?aaie (off-shell aoaeo?a ? IIN). A?aecia/eii, ui,
ye aoei aeacaii aeua, ?I iiaea aeyaeoeny iaaaeaeaaoiei i?e ?icaeyae?
oioi- oa aeaeo?iooai?aiiy i?ii?a ia yae?ao (iniaeeai, i?e iien?
iiey?ecoe?eieo niinoa?aaeoaaieo a aenia?eiaioao c ?iciiae?eii NO).

?icaeiooee oi?iae?ci canoiniaaii aeey ia/eneaiiy niinoa?aaeoaaieo a
?aaeoe?yo 2H(,+)nn ? 2H(e,e’+)nn. A?aeiia?aei? aei??e ia?aaeaa/aii
i?ia?aiaie oaeeo aeine?aeieo oeaio??a, ye TJNAF (iai?eeeaae,
aenia?eiaioe A-91-003 ? A-93-021), MAMI (Iaeioe) oa EssO
(Iiainea??nuee). Iaaaaeaiee a aeena?oaoe?? i?aeo?ae ? ?ic?iaeaiee ia
eiai iniia? eiiieaen i?ia?ai iiaeooue aooe aeei?enoai? i?e
?ioa?i?aoaoe?? a?aeiia?aeieo aeaieo, a oaeiae i?e ieaioaaii? iiaeo
aenia?eiaio?a c oioi- ? aeaeo?iooai?aiiy i?ii?a ia ioeeiiao ? yae?ao.

O oe?eiio oea aeine?aeaeaiiy ? canoiniaai? a iueiio caniae, ui
a?aee?eaathoue iiaee iiaeyae ia oai??th oioiiaciiieo i?ioean?a ia
yae?ao, iiaeooue aooe ei?enieie aeey aea/aiiy ?ioeo yaea?ieo aca?iiae?e
c ia?iaeaeaiiyi iacii?a.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. Iaoa??aee aeena?oaoe??
aeiiia?aeaeenue ia oaeeo i?aeia?iaeieo eiioa?aioe?yo, neiiic?oiao ?
oeieao:

1. International Summer School «Perspectives in the Structure of
Hadronic Systems», Dronten, The Netherlands, 1993;

2. International Conference «Mesons and Nuclei at Intermediate
Energies», Dubna, Russia, 1994;

3. XII International Symposium on High-Energy Spin Physics «SPIN-96»,
Amsterdam, The Netherlands, 1996;

4. XIII International Seminar on High-Energy Physics Problems
«Relativistic Nuclear Physics & Quantum Chromodynamics», Dubna, Russia,
1996;

5. XV International Conference on Few-Body Problems in Physics,
Grningen, The Netherlands, 1997

? iioae?eiaai? a 7 ?iaioao, nienie yeeo iaaaaeaii a e?ioe? aaoi?aoa?aoo.

Ianya ?iaioe. Aeena?oaoe?y neeaaea?oueny c anooio, /ioe?ueio ?icae?e?a
iniiaii? /anoeie, aeniiae?a, o?ueio aeiaeaoe?a ? nieneo e?oa?aoo?e.
Anueiai — 126 noi??iie, aeeth/ath/e 20 iaethie?a ? nienie oeeoiaaii?
e?oa?aoo?e, ui i?noeoue 114 ioieo?a.

INIIAIEE CI?NO

O anooi? a?aecia/a?oueny aaaeeea?noue aea/aiiy oioiiaciiieo i?ioean?a ia
yae?ao aeey ?icaeoeo o?ceee neeueieo aca?iiae?e ? i?aee?aneth?oueny
aeooaeuei?noue ?ic?iaee iiaeo i?aeoiae?a aeey iieno aeaiiai eeano
?aaeoe?e. Noi?ioeueiaaii iaoo aeena?oaoe?eii? ?iaioe oa iniiai?
iieiaeaiiy, ui aeianaii ia caoeno. A?aecia/aii iaoeiao iiaecio oeeo
iieiaeaiue, a oaeiae aeacaii, ia yeeo eiioa?aioe?yo ? a yeeo iaoeiaeo
aeaeaiiyo aoee ai?iaiaai? oa iioae?eiaai? iaoa??aee aeena?oaoe??.

Ia?oee ?icae?e i?noeoue noeneee iaeyae oai?aoe/ieo aeine?aeaeaiue oioi-
? aeaeo?iia?iaeaeaiiy i?ii?a ia ioeeiiao ? yae?ao, aeeiiaieo a ??ci?
?iee. Iaaiai?ththoueny iniiai? i?aeoiaee, yeeie iineoaiaothoueny aeey
iieno oeeo ?aaeoe?e, ? iaea?eueo aaaeeea? ?acoeueoaoe, ciaeaeai? c
?oiueith aeiiiiiaith. Aiae?cothoueny i?eiouaiiy, ui neeaaeathoue iniiao
?I, ? a?aecia/a?oueny iaiaaeai?noue oeueiai i?aeoiaeo i?e ?icaeyae?
oioiiaciiieo i?ioean?a ia yae?ao. ?icaeyaeathoueny ??ciiiai?oi? ?aoeaioe
aeey caaeiaieaiiy aeiia a?aae??ioii? ?iaa??aioiino? a i?aeoe/ieo
ia/eneaiiyo.

A ae?oaiio ?icae?e? aeeeaaeaii oi?iae?ci iiaoaeiae aoaeoeaieo
aca?iiae?e a oai??? oioiiaciiieo i?ioean?a ia yae?ao. Ie noa?oo?ii c
oai?aoeei-iieueiaiai iieno aae?iiii? nenoaie oa ?? aca?iiae?? c a.i.
iieai. Ia oeueiio aoai? aaiaeyoueny aai?eueoii?ai i?iiiiai ? ioeeiiiiai
iie?a wmetafile8? ??·???? ????????
?????????????yyy????.??????1?????? ???????   
???&? ?MathType??`????`P? ???u?th??????| = wmetafile8? ??†????
???????? ?????????????yyy????.??????1?????? ???????
 ? ???&? ?MathType???????oey ???u@th??????1/4????? Century
Gothic?g????*Oyyyy??????-?????!?P?????
???u??????1/4????»System??????*fg????????????????-???????
?????1/4????»Syl |+ wmetafile8? ??†???? ????????
?????????????yyy????.??????1?????? ??????? ? 
???&? ?MathType?? ????@aey ???u?th??????1/4????? Century
Gothic?-????q?yyyy??????-?????!?Q?????
???u??????1/4????»System???????f-????????????????-???????
????a?????a????l | ,

aea wmetafile8? ??†???? ????????
?????????????yyy????.??????1?????? ???????  ?
???&? ?MathType???????oey ???u@th??????1/4????? Century
Gothic?g????*Oyyyy??????-?????!?P?????
???u??????1/4????»System??????*fg????????????????-???????
?????1/4????»Syl — i?iaeoi? ia wmetafile8? ??†???? ????????
?????????????yyy????.??????1?????? ???????  ?
???&? ?MathType???????oey ???u@th??????1/4????? Century
Gothic?oyyyyrUyyyy??????-?????!?R?????
???u??????1/4????»System??????

foyyyy????????????-??????UeUeUeUeUeUeUeUeUeUel ?
wmetafile8? ??†???? ????????
?????????????yyy????.??????1?????? ??????? ? 
???&? ?MathType?? ????@aey ???u?th??????1/4????? Century
Gothic?-????q?yyyy??????-?????!?Q?????
???u??????1/4????»System???????f-????????????????-???????
????a?????a????l = 1 — wmetafile8? ??†???? ????????
?????????????yyy????.??????1?????? ???????  ?
???&? ?MathType???????oey ???u@th??????1/4????? Century
Gothic?g????*Oyyyy??????-?????!?P?????
???u??????1/4????»System??????*fg????????????????-???????
?????1/4????»Syl (l=0,1) — ia eiai aeiiiaiaiiy.

Aeae?, ?ica’ycaiiyi caaea/? ia aeani? cia/aiiy a i?inoi?? wmetafile8?
??†???? ???????? ?????????????yyy????.??????1??????
???????  ? ???&? ?MathType???????oey
???u@th??????1/4????? Century
Gothic?oyyyyrUyyyy??????-?????!?R?????
???u??????1/4????»System??????

foyyyy????????????-??????UeUeUeUeUeUeUeUeUeUeN
c?noaaeythoueny aaeoi?e | i wmetafile8? ??†???? ????????
?????????????yyy????.??????1?????? ???????  ?
???&? ?MathType???????oey ???u@th??????1/4????? Century
Gothic?oyyyyrUyyyy??????-?????!?R?????
???u??????1/4????»System??????

foyyyy????????????-??????UeUeUeUeUeUeUeUeUeUe0 ? |f
wmetafile8? ??†???? ????????
?????????????yyy????.??????1?????? ???????  ?
???&? ?MathType???????oey ???u@th??????1/4????? Century
Gothic?oyyyyrUyyyy??????-?????!?R?????
???u??????1/4????»System??????

foyyyy????????????-??????UeUeUeUeUeUeUeUeUeUe1 :

| i = 0 | i , | f = 1 |f ,
(1)

wmetafile8? ??T??? ????????
?????????????yyy????.??????1?????? ??????? A`
???&? ?MathType??P????u????????????-?????|????|0???
? ???u@th??????

aea iia?aoi? A l ia? no?oeoo?o A l = wmetafile8? ??†???? ????????
?????????????yyy????.??????1?????? ??????? ? 
???&? ?MathType?? ????@aey ???u?th??????1/4????? Century
Gothic?-????q?yyyy??????-?????!?Q?????
???u??????1/4????»System???????f-????????????????-???????
????a?????a????l A’lwmetafile8? ??†???? ????????
?????????????yyy????.??????1?????? ???????  ?
???&? ?MathType???????oey ???u@th??????1/4????? Century
Gothic?g????*Oyyyy??????-?????!?P?????
???u??????1/4????»System??????*fg????????????????-???????
?????1/4????»Syl ? caaeiaieueiy? ??aiyiith

wmetafile8? ??†???? ????????
?????????????yyy????.??????1?????? ??????? ? 
???&? ?MathType?? ????@aey ???u?th??????1/4????? Century
Gothic?-????q?yyyy??????-?????!?Q?????
???u??????1/4????»System???????f-????????????????-???????
????a?????a????l (wmetafile8? ??·???? ????????
?????????????yyy????.??????1?????? ???????   
???&? ?MathType??`????`P? ???u?th??????

Ae?th/e oaeei /eiii, aeey | i e |f ae?noa?ii ??aiyiiy ia aeani? cia/aiiy

wmetafile8? ??A??? ????????
?????????????yyy????.??????1?????? ??????? ` 
???&? ?MathType??P????A.? ???u@th??????

a aeey aiie?ooaee ooai?aiiy i?iia ia yae?? oioiiii c 4-?iioeuenii q=(,
wmetafile8? ??????? ????????
?????????????yyy????.??????1?????? ??????? @`
???&? ?MathType??P???? ,? ???u@th??????wmetafile8? ??°???
???????? ?????????????yyy????.??????1?????? ???????
?@ ???&? ?MathType??p????u????????????-?????L ???o
??? ? ???u@th??????aea

wmetafile8? ??A??? ????????
?????????????yyy????.??????1?????? ??????? ?
???&? ?MathType??A?????.? ???u@th??????? aoaeoeai?
aai?eueoii?aie, ui ae?thoue a wmetafile8? ??†???? ????????
?????????????yyy????.??????1?????? ???????  ?
???&? ?MathType???????oey ???u@th??????1/4????? Century
Gothic?oyyyyrUyyyy??????-?????!?R?????
???u??????1/4????»System??????

foyyyy????????????-??????UeUeUeUeUeUeUeUeUeUel , ?
aoaeoeaiee no?oi. Aaee/eie J eo ? wmetafile8? ????? ????????
?????????????yyy????.??????1?????? ??????? ??
???&? ?MathType??`????A.? ???u@th??????wmetafile8? ??J???
???????? ?????????????yyy????.??????1?????? ??????? 
  ???&? ?MathType??@???? ??? ?
???u@th??????wmetafile8? ??’??? ????????
?????????????yyy????.??????1?????? ??????? @?
???&? ?MathType??P???? ? ???u@th??????

aea k=1, 2, 3 — ?cioii?/iee ?iaeaen i?iia, Nk(x) — aeaea?aei iaciiiiai
iiey, ak(wmetafile8? ??TH???? ????????
?????????????yyy????.??????1?????? ??????? @?
???&? ?MathType??P???? J? ???u@th??????[?en. 1]

?en. 1. Aianee o ieae/iio ii?yaeeo ca N-aca?iiae??th, ui eiiiainothoue
iaeei iaeiiai.

Ca?aeii c i?ioeaaeo?ith Ieoai, iiaeia ia?aeoe a?ae in- ? out-aaeoi??a
aei noai?a a naeoi?? wmetafile8? ??†???? ????????
?????????????yyy????.??????1?????? ???????  ?
???&? ?MathType???????oey ???u@th??????1/4????? Century
Gothic?oyyyyrUyyyy??????-?????!?R?????
???u??????1/4????»System??????

foyyyy????????????-??????UeUeUeUeUeUeUeUeUeUe0:

wmetafile8? ??[??? ????????
?????????????yyy????.??????1?????? ??????? ??

???&? ?MathType??p???? ? ???u@th??????

wmetafile8? ????? ? ????????
?????????????yyy????.??????1?????? ??????? `@
???&? ?MathType??`???? oey ???u@th??????

Aeey ae?th/iai a wmetafile8? ??†???? ????????
?????????????yyy????.??????1?????? ???????  ?
???&? ?MathType???????oey ???u@th??????1/4????? Century
Gothic?oyyyyrUyyyy??????-?????!?R?????
???u??????1/4????»System??????

foyyyy????????????-??????UeUeUeUeUeUeUeUeUeUe0
aoaeoeaiiai iia?aoi?a (11) ni?aaaaeeeaee ?iceeaae, iiae?aiee aei (6):

wmetafile8? ??U?? ? ????????
?????????????yyy????.??????1?????? ??????? `?
???&? ?MathType??`???? oey ???u@th??????

I?e oeueiio iia?aoi?e wmetafile8? ??»??? ????????
?????????????yyy????.??????1?????? ??????? `@
???&? ?MathType??P????A? ???u@th??????Canoinoaaiiy iaoiaeo
oi?oa?iiai ia?aoai?aiiy aei ia/eneaiiy aiie?ooaee aeaiaioa?iiai i?ioeano
NN’ aea?

wmetafile8? ??±??? ????????
?????????????yyy????.??????1?????? ??????? ? $
???&? ?MathType???????u????????????-?????,
????,)???u????????????-????

aea ia?oueny ia oaac? eiaa??aioia ii?ioaaiiy iaeiiioeeiiieo noai?a. Oea
ni?aa?aeiioaiiy aecia/a? ?aeiiaiaeaoe??, ca?aeii yeeo i?e ia/eneaii?
iaeii/anoeieiaiai (iica aia?aaoe/iith iaieiieith) aianeo aei aiie?ooaee
ia?aoiaeo (*)AB iiaeia aooe iineoaiaoaaoeny ?acoeueoaoaie, ui
a?oioothoueny ia ??ciiiai?oieo aeeiai?/ieo i?aeoiaeao aei iieno
aeaeo?iooai?aiiy i?iia ia a?eueiiio ioeeii?.

sseui iieeanoe, ui aai?eueoii?ai aca?iiae?th/eo ioeeiiiiai, i?iiiiai oa
a.i. iie?a ia i?noeoue eiioaeoieo /eai?a, a i?iiiee no?oi ciaoiaeeoueny
c aai?eueoii?aia a?eueiiai i?iiiiai iiey ca aeiiiiiaith ?aoeaioo
i?i?iaeueii? i?aenoaiiaee, oi a ieae/iio ii?yaeeo ca eiinoaioith a.i.
aca?iiae?? eiiooaoi? a (9) aea? i?iiii-iiethniee aianie wmetafile8?
??»??? ???????? ?????????????yyy????.??????1??????
??????? `? ???&? ?MathType??P????A?
???u@th??????wmetafile8? ??h??? ????????
?????????????yyy????.??????1?????? ???????  a
???&?
?MathType??P????u????????????-?????????????W????.?
???u@th??????

aea wmetafile8? ??»??? ????????
?????????????yyy????.??????1?????? ??????? `A
???&? ?MathType??P????A? ???u@th??????

[?en. 2]

?en. 2. Iaei?ino?o? aianee aei iaeii/anoeieiai? aiie?ooaee: a —
wmetafile8? ??»??? ????????
?????????????yyy????.??????1?????? ??????? `?
???&? ?MathType??P????A? ???u@th??????

I?e aiae?c? caeiaooeo a aeaiiio ?icae?e? aeena?oaoe?? ae?ac?a aeey
aiie?ooaee oioi(aeaeo?i-)ia?iaeaeaiiy i?iia ia ca’ycaiiio ioeeii?
aeiaaaeaii, ui iii?aaee ia no?ae c aia?aaoe/ii? iaieiiee iiaeia
c?noaaeoe c aoaeoaie oa?i??anueeiai ?ooo. Aeey ia?iaeaeaiiy i?iia
?aaeueiei oioiiii iiaeeco ii?iaa o aeiaaeeo ?ic?aooie?a c ieineeie
oaeeyie aiie aeyaeythoueny a?aeiinii iaaaeeeeie (ii?yaeeo wmetafile8?
??N??? ???????? ?????????????yyy????.??????1??????
???????    ???&? ?MathType??P?????O? ???u@th??????O?ao?e
?icae?e i?enay/aii i?aeoe/iei oeyoai caaeiaieaiiy aeiia a?aae??ioii?
?iaa??aioiino?. ?icaeyiooi aoaeoeaiee can?a caaacia/aiiy AI ?ic?aooie?a,
ui a?oioo?oueny ia ocaaaeueiaii? oai?aie C?aa?oa ? cia/iith i??ith
aecia/a? iiaaae?ieo aiie?ooae a.i. ia?aoiae?a a iecueeiaia?aaoe/i?e
iaae?. Iacaeaaei?noue aiie?ooaee a?ae aeai?o eae?a?iaee a.i. iiey
aeinyaa?oueny i?e oeueiio oeyoii ?? ae?aaeaiiy /a?ac yaii
eae?a?iai/ii-iacaeaaei? aaee/eie — iai?oaeaiino? aeaeo?e/iiai ?
iaai?oiiai iie?a:

wmetafile8? ??o??? ????????
?????????????yyy????.??????1?????? ??????? @ )
???&?
?MathType??P????u????????????-?????’w???’a??? ?
???u@th??????aea iao?e/i? aeaiaioe wmetafile8? ??TH???? ????????
?????????????yyy????.??????1?????? ???????  ?
???&? ?MathType??@???? .? ???u@th??????Iiaeaiiy (15) aeei?enoaii
i?e ia/eneaii? aiie?ooaee oioiia?iaeaeaiiy i?iia ia a?eueiiio ioeeii?
iiaeeco ii?iaa a iiaeae? (14). Ciaeaeai? ae?ace aeey wmetafile8?
??»??? ???????? ?????????????yyy????.??????1??????
??????? `  ???&? ?MathType??P????A.?
???u@th??????Ioeueoeiie? wmetafile8? ??»??? ????????
?????????????yyy????.??????1?????? ??????? `a
???&? ?MathType??P????A.? ???u@th??????A /aoaa?oiio ?icae?e?
iaaaaeaii ?acoeueoaoe ?ic?aooie?a niinoa?aaeieo aeey aeaeo?iooai?aiiy
+-iaciia ia aeaeo?ii? iiaeeco ii?iaa ?aaeoe??, aeeiiaieo a ?aieao
?icaeiaiiai i?aeoiaeo. Aeey iiaoaeiae iia?aoi?a ia?iaeaeaiiy i?iia ia
ca’ycaiiio ioeeii? ie iineoaiaoaaeeny (aeea. ni?aa?aeiioaiiy (13))
ae?acii aeey aiie?ooaee NN’ a ocaaaeueiaiiio ai?i?anueeiio iaaeeaeaii?.
Aoaeoe oa?i??anueeiai ?ooo a iaeii/anoeieiaiio iia?aoi?? a?aoiaoaaeeny
iiai?noth (aac ia?aeyoea?nonueei? ?aaeoeoe??). Aianeaie aei aiie?ooaee,
coiiaeaieie ooai?aiiyi 33-?aciiaino, a oaeiae AEN i?iia a oeeo
ia/eneaiiyo iaoooaaeiny. Aeey S- ? D- eiiiiiaio?a oaeeueiai? ooieoe??
aeaeo?iia iineoaiaoaaeeny ia?aiao?ecaoe?yie, caeiaooeie aeey ia?ecueeiai
iioaioe?aeo. Iaeo?ii-iaeo?iiia AEN a 1S0-noai?, ui aecia/a?
aeeoa?aioe?aeueiee ia?a??c i?e iaeeo aaee/eiao a?aeiiniiai ?iioeuena
nn-ia?e wmetafile8? ??TH???? ????????
?????????????yyy????.??????1?????? ??????? @ 
???&? ?MathType??P???? O? ???u@th??????O iaaeeaeaii?
iaeiioioiiiiai iai?io aeeoa?aioe?aeueiee ia?a??c ?aaeoe?? wmetafile8?
??????? ???????? ?????????????yyy????.??????1??????
??????? ?` ???&? ?MathType??????`=? ???u?th??????

wmetafile8? ??™??? ????????
?????????????yyy????.??????1?????? ???????  `0
???&? ?MathType??p????Aoey ???u@th??????WV, = (2 )6 wmetafile8?
??????? ???????? ?????????????yyy????.??????1??????
??????? ?A ???&? ?MathType???????DY? ???uath??????aea
ia?oueny ia oaac? aeei?enoaiiy nenoaie eii?aeeiao, a ye?e a?nue OZ
ni?yiiaaia acaeiaae ia?aaeaiiai ?iioeueno wmetafile8? ???????
???????? ?????????????yyy????.??????1?????? ???????
a` ???&? ?MathType??@????`=? ???u?th??????wmetafile8?
?????? ???????? ?????????????yyy????.??????1??????
??????? @? ???&? ?MathType??P???? oey ???u@th??????aea W- NO
aeey iaiiey?eciaaieo aeaeo?ii?a,wmetafile8? ??????? ????????
?????????????yyy????.??????1?????? ??????? A?
???&? ?MathType?????? 

Добавить комментарий

Ваш e-mail не будет опубликован. Обязательные поля помечены *