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ДВОРНИКОВ МАКСИМ СЕРГЕЕВИЧ




МАССИВНОЕ НЕЙТРИНО ВО ВНЕШНИХ ПОЛЯХ



Специальность: 01.04.02 - теоретическая физика




Автореферат диссертации
на соискание учёной степени кандидата
физико-математических наук




МОСКВА – 2004
Работа выполнена на кафедре теоретической физики
физического факультета Московского государственного университета
им. М. В. Ломоносова.


Научный руководитель:
доктор физико-математических наук,
профессор А.И.Студеникин


Официальные оппоненты:
доктор физико-математических наук,
В.Б.Семикоз (ИЗМИРАН),
доктор физико-математических наук,
профессор В.Н.Родионов (МГГРУ)


Ведущая организация: Объединенный институт ядерных исследований.


Защита состоится « » 2004 г.
в час. на заседании диссертационного совета К 501.001.17
МГУ им. М.В.Ломоносова по адресу:
119992, г. Москва, Воробьёвы горы, МГУ, физический факультет,
аудитория .


С диссертацией можно ознакомиться в библиотеке физического фа-
культета МГУ.


Автореферат разослан « » 2004 г.


Учёный секретарь диссертационного совета,
доктор физ.-мат. наук П.А.Поляков.
IAUA? OA?AEOA?ENOEEA ?AAIOU

Aenna?oaoey iinayuaia enneaaiaaie? yeaeo?iiaaieoiuo naienoa iae-
o?eii, a oae?a i?ioannia n o?anoeai iaeo?eii a i?enoonoaee aauanoaa
e aiaoieo iieae. A ?aieao ieieiaeuii ?anoe?aiiie noaiaa?oiie ii-
aaee n SU(2)-neiaeaoiui i?aaui iaeo?eii au?eneaia yeaeo?iiaaieo-
iay aa?oeiiay ooieoey ianneaiiai iaeo?eii a i?iecaieuiie R? -ea-
eea?iaea. Auaaaaii o?aaiaiea aey iienaiey yaie?oee nieia iaeo?eii
a i?iecaieuiuo aiaoieo iieyo. ?anniio?aia ?aeaenaoey nieia iae-
o?eii a aauanoaa ?aiiae Anaeaiiie e iieo?aii einiieiae?aneia ia?a-
ie?aiea ia ianno iaeo?eii. Enneaaiaaiu inoeeeyoee iaeo?eii a yeae-
o?iiaaieoiuo iieyo ?acee?iie eiioeao?aoee, oaeeo eae iiea yeae-
o?iiaaieoiie aieiu e iaaieoiia iiea ieineiai iiaoeyoi?a.

AEOOAEUIINOU OAIU AENNA?OAOEE iaoneiaeaia oai, ?oi
iaeo?eii ia i?ioy?aiee iiiaeo eao inoaaony iaiei ec eioa?aniaeoeo
iauaeoia a oeceea yeaiaioa?iuo ?anoeo. Oae, iai?eia?, aieaa oi?-
iay eioi?iaoey i naienoaao iaeo?eii auea au i?aiu iieaciie i?e
?aoaiee i?iaeaiu auai?a oai?aoe?aneie iiaaee aaeeeiai iauaaeia-
iey. Aic?inoee eioa?an e aaiiie oaia iaoneiaeai oae?a e oai, ?oi
niaeanii ?acoeuoaoai iaaaaieo yenia?eiaioia ii eco?aie? iaeo?eii,
iieo?aiu oaaaeoaeuiua aieacaoaeunoaa oiai, ?oi iaeo?eii iaeaaaao
iaioeaaie iannie iieiy e iaioeaaui niaoeaaieai ia?ao ?acee?iuie
iieieaieyie.

OAEU? ?AAIOU yaeyaony ?an?ao yeaeo?iiaaieoiuo oa?aeoa?e-
noee ianneaiiai iaeo?eii, eco?aiea inoeeeyoee iaeo?eii ai aiaoieo
iieyo, a oae?a iieo?aiea ia?aie?aiee ia ia?aiao?u iaeo?eii.




1
IAO?IA? IIAECIA ?aaiou ninoieo a oii, ?oi a iae aia?aua:

1) au?eneaiu aeeaau iaiiiaoeaauo oaeiiaiianeeo aeaa?aii a yeae-
o?iiaaieoio? aa?oeiio? ooieoe? ianneaiiai iaeo?eii n en-
iieuciaaieai iauae R? -eaeea?iaee a ieieiaeuii ?anoe?aiiie
noaiaa?oiie iiaaee, aiiieiaiiie SU(2)-neiaeaoiui i?aaui iae-
o?eii;

2) iieo?aiu aeeaau anao oaeiiaiianeeo aeaa?aii a ca?yaiaue oi?i-
oaeoi?, a oae?a a yeaeo?e?aneee ca?ya ianneaiiai iaeo?eii e
i?iaiaeece?iaaia eo caaeneiinou io iannu iaeo?eii e io ia?a-
iao?a, oeene?o?uaai eaeea?iaeo;

3) enneaaiaai iaaieoiue oi?ioaeoi? e iaaieoiue iiiaio iannea-
iiai iaeo?eii;

4) au?eneaiu aeeaau anao oaeiiaiianeeo aeaa?aii a aiaiieuiue
oi?ioaeoi?, a oae?a a aiaiieuiue iiiaio ianneaiiai iaeo?eii;

5) auaaaaii eaaceeeanne?aneia o?aaiaiea aey iienaiey yaie?oee nie-
ia iaeo?eii a i?enoonoaee ?acee?iuo aiaoieo iieae;

6) enneaaiaaia ?aeaenaoey nieia iaeo?eii a aauanoaa ni noioanoe?a-
neeie oa?aeoa?enoeeaie, oaeeie eae ieioiinou, nei?inou e iiey-
?ecaoey n?aau;

7) ?anniio?aiu inoeeeyoee iaeo?eii a i?enoonoaee iiey eeiaeii
iiey?eciaaiiie yeaeo?iiaaieoiie aieiu e ?ac?aaioai iiaoia e
ea?anoaaiiiio enneaaiaaie? ?aoaiey o?aaiaiey yaie?oee iae-
o?eii aaeece oi?ee ?aciiaina;



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8) iieacaii, ?oi i?e inoeeeyoeyo iaeo?eii a ia?aiaiiuo yeaeo?i-
iaaieoiuo iieyo ii?ao aicieeaou yaeaiea ia?aiao?e?aneiai ?a-
ciiaina.

I?AEOE?ANEA? OAIIINOU aenna?oaoee ii?aaaeyaony oai, ?oi
?acoeuoaou ?aaiou iiaoo auou eniieuciaaiu i?e oai?aoe?aneeo ennea-
aiaaieyo i?ioannia acaeiiaaenoaey ?anoeo i?e aunieeo yia?aeyo a
?acee?iuo ano?ioece?aneeo n?aaao, a oae?a i?e ieaie?iaaiee iiauo
yenia?eiaioaeuiuo enneaaiaaiee iaeo?eii a eaai?aoi?iuo oneiaeyo.
AI?IAAOE? AENNA?OAOEE E IOAEEEAOEE
Iniiaiua ?acoeuoaou, aioaaoea a aenna?oaoe? aieeaauaaeenu ia
neaao?ueo eiioa?aioeyo:

1) ?Results and Perspectives in Particle Physics?(La Thuile, Italy, 2001
e 2002);

2) 9th Lomonosov Conference on Elementary Particle Physics (Moscow,
1999);

3) 3rd International Workshop on ?New Worlds in Astroparticle Physics?
(Faro, Portugal, 2000).

Ii iaoa?eaeai aenna?oaoee iioaeeeiaaii 8 ?aaio, nienie eioi?uo
i?eaaaai a eiioa aaoi?aoa?aoa.

NO?OEOO?A E IAUAI AENNA?OAOEE

Aenna?oaoey ninoieo ec aaaaaiey, ?aou?ao aeaa, caee??aiey e nien-
ea oeoe?iaaiiie eeoa?aoo?u, niaa??auaai 127 iaeiaiiaaiee. Iauee
iauai 144 no?aieou, a ?aaioa eiaaony 14 ?enoieia.




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NIAA??AIEA AENNA?OAOEE

A ?acaaeao 1.1-1.8 aaaaaiey e aenna?oaoee iano?aaaony enoi?ey en-
neaaiaaiey iaeo?eiiuo inoeeeyoee, ?acoeuoaou iniiaiuo yenia?eiai-
oia ii eco?aie? iaeo?eii, oaiiiaiieiae?aneay oai?ey niaoeaaiey e
inoeeeyoee iaeo?eii, a oae?a yeaeo?iiaaieoiua naienoaa iaeo?eii;
iainiiauaaaony aeooaeuiinou yoeo i?iaeai e aaaony iaci? enneaaiaa-
iee, auiieiaiiuo ii aaiiui oaiai.
A ?acaaea 1.9 aaaaaiey aaaony e?aoeia ecei?aiea aii?inia, ?anniao-
?eaaaiuo a iineaao?ueo aeaaao aenna?oaoee.
Aaeaa, a ?acaaea 2.1 aoi?ie aeaau, a ?aieao ieieiaeuii ?anoe-
?aiiie noaiaa?oiie iiaaee n SU(2)-neiaeaoiui i?aaui iaeo?eii, n
eniieuciaaieai ?acia?iie ?aaoey?ecaoee e iauae R? -eaeea?iaee, a
iaiiiaoeaaii i?eaee?aiee au?eneaiu aeeaau ?acee?iuo oaeiiaiia-
neeo aeaa?aii a yeaeo?iiaaieoio? aa?oeiio? ooieoe? ianneaiiai
ae?aeianeiai iaeo?eii.
?anniio?aii ?acei?aiea yeaeo?iiaaieoiie aa?oeiiie ooieoee ian-
neaiiai iaeo?eii ia yeaeo?iiaaieoiua oi?ioaeoi?u. A ?acaaea 2.1.1
enneaaiaaii aaiiia ?acei?aiea e iiaoaa??aaia aai ni?aaaaeeainou a
neo?aa ianneaiiai iaeo?eii n iiiiuu? i?yiiai ?an?aoa i?e ainoa-
oi?ii oe?ieii aeaiaciia ia?aiao?ia, aoiayueo a ?anniao?eaaaio?
iiaaeu.
A ?acaaea 2.1.2 iieacaii, ?oi i?e ii?aaaeaiiii auai?a eaeea?i-
ai?iuo ia?aiao?ia yeaeo?iiaaieoiay aa?oeiiay ooieoey ianneaiiai
iaeo?eii noaiiaeony eiia?iie, o.a. au?a?aiey aey anao yeaeo?iiaaieo-
iuo oi?ioaeoi?ia ia niaa??ao oeuo?aoeieaoiauo ?anoiaeiinoae.
Iieo?aiu caieiooua eioaa?aeuiua au?a?aiey aey ca?yaiaiai (?ac-


4
aae 2.2), iaaieoiiai (?acaae 2.3) e aiaiieuiiai (?acaae 2.4) oi?ioae-
oi?ia, oi?ii o?eouaa?ueo iannu ca?y?aiiiai eaioiia, iaeo?eii e
aaeoi?iuo W - e Z-aiciiia, a oae?a eaeea?iai?iua ia?aiao?u. Ana au-
?eneaiey i?iecaaaaiu i?e i?iecaieuiii cia?aiee eaaa?aoa eiioeuna
aiaoiaai oioiia.
A ?acaaea 2.2.1 eco?a?ony aeeaau ?acee?iuo oaeiiaiianeeo aea-
a?aii a yeaeo?e?aneee ca?ya iaeo?eii, cia?aiea eioi?iai ii?aaaeyao-
ny ca?yaiaui oi?ioaeoi?ii i?e ioeaaie ia?aaa?a eiioeuna, e aiaee-
ce?oaony eo caaeneiinou io iannu iaeo?eii e io ia?aiao?a, oeene?o?-
uaai eaeea?iaeo. N iiiiuu? i?yiuo au?eneaiee iieacaii, ?oi yeae-
o?e?aneee ca?ya iaeo?eii ia caaeneo io auai?a eaeea?iaee e ?aaai io-
e? a ioeaaii e ia?aii ii?yaeao ?acei?aiey noiiu aeeaaia anao oaei-
iaiianeeo aeaa?aii ii ianniaiio ia?aiao?o iaeo?eiib = (m? /MW )2 .
Aieaa oiai, a ?acaaea 2.2.2 yaiui ia?acii i?iaaiiino?e?iaaii, ?oi a
eaeea?iaea 'o Oiooa-Oaeiiaia ca?ya iaeo?eii ?aaai ioe? i?e i?iec-
aieuiie ianna iaeo?eii, o.a. ai anao ii?yaeao ?acei?aiey ii ia?aiao-
?o b.
A ?acaaea 2.3.1 eco?aii aneiioioe?aneia iiaaaaiea iaaieoiiai oi?i-
oaeoi?a ianneaiiai iaeo?eii i?e aieuoeo io?eoaoaeuiuo eaaa?aoao
eiioeuna aiaoiaai oioiia i?e ?acee?iuo cia?aieyo eaeea?iai?iiai
ia?aiao?a.
A ?acaaea 2.3.2 auaaaaiu eioaa?aeuiua oi?ioeu aey aeeaaia ea?-
aie ec aeaa?aii a iaaieoiue iiiaio iaeo?eii e iieo?aiu au?a?aiey
aey aeeaaia a iaaieoiue iiiaio iaeo?eii a ia?aii iaioeaaii e neaao-
?uei ca iei ii?yaeao ?acei?aiey ii ianniaiio ia?aiao?o iaeo?eii
b, i?e?ai cia?aiea eaeea?iai?iiai ia?aiao?a auei i?iecaieuiui. N
iiiiuu? i?yiiai ?an?aoa iieacaii, ?oi noiia anao aeeaaia ia caaeneo

5
io auai?a eaeea?iaee. Iieo?aiiua oi?ioeu aey iaaieoiiai iiiaioa
ianneaiiai iaeo?eii iicaiey?o enneaaiaaou caaeneiinou iaaieoiiai
iiiaioa io iann iaeo?eii, ca?y?aiiiai eaioiia e W -aiciia.
A ?acaaea 2.4.1 iaeaaiu aeeaau ?acee?iuo oaeiiaiianeeo aea-
a?aii a aiaiieuiue iiiaio ianneaiiai iaeo?eii ia iniiaa au?a?aiee
aey aiaiieuiiai oi?ioaeoi?a iaeo?eii i?e ioeaaie ia?aaa?a eiioeu-
na.
O?aouy aeaaa iinayuaia eco?aie? yaie?oee nieia iaeo?eii a i?i-
ecaieuiuo aiaoieo iieyo. A aaiiie aeaaa ?anniio?aia yaie?oey nie-
ia iaeo?eii a ?aieao oece?aneie iiaaee, aiionea?uae iiaua, aieaa
iauea oeiu acaeiiaaenoaey iaeo?eii. N eniieuciaaieai eaaceeean-
ne?aneiai i?eaee?aiey auaaaaii o?aaiaiea yaie?oee nieia iaeo?eii
iai?yio? ec eaa?ai?eaia acaeiiaaenoaey iaeo?eii, eioi?ue aee?-
?aao a naay ia oieuei aaeoi?iia e aeneaeuii-aaeoi?iia acaeiiaaenoaey
noaiaa?oiie iiaaee, ii oae?a neaey?iia, inaaaineaey?iia, oaici?iia e
inaaaioaici?iia acaeiiaaenoaey. Iieo?aiu ia?aie?aiey ia ia?aiao?u
aiaoieo iieae e oa?aeoa?enoeee iaeo?eii, i?e eioi?uo eaaceeeanne-
?aneia i?eaee?aiea inoaaony ni?aaaaeeaui.
?aoaa?oay aeaaa iinayuaia enneaaiaaie? ?aeaenaoee nieia iaeo?e-
ii a aauanoaa ni noioanoe?aneeie oa?aeoa?enoeeaie, oaeeie eae ieio-
iinou, nei?inou e iiey?ecaoey n?aau. Aey neo?ay iaeo?eii, acaeii-
aaenoao?uaai n oa?ieiiaie aauanoaa iin?aanoaii neaauo oieia, au-
aaaaii iauaa au?a?aiea aey nei?inoe ?aeaenaoee nieia, o?eouaa?uaa
ieioiinou, nei?inou e iiey?ecaoe? anao oeiia oa?ieiiia aauanoaa. A
ea?anoaa i?eei?aiey ?anniao?eaaaiiai yaeaiey eco?aia ?aeaenaoey
nieia iaeo?eii a aauanoaa ?aiiae Anaeaiiie. Ia yoie iniiaa iieo?aii
einiieiae?aneia ia?aie?aiea ia ianno i?iiiiai iaeo?eii.

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Iyoay aeaaa iinayuaia eco?aie? inoeeeyoee iaeo?eii a yeaeo?i-
iaaieoiuo iieyo ?acee?iie eiioeao?aoee. A ?acaaea 5.1 ?anniio?a-
iu inoeeeyoee iaeo?eii a i?enoonoaee iiey eeiaeii iiey?eciaaiiie
yeaeo?iiaaieoiie aieiu. Aaoaeuii i?iaiaeece?iaaii oneiaea ?aci-
iainiiai oneeaiey inoeeeyoee e ?ac?aaioai iiaoia e ea?anoaaiiiio
enneaaiaaie? ?aoaiey o?aaiaiey yaie?oee iaeo?eii aaeece oi?ee ?a-
ciiaina, eioi?ue ii?ao auou eniieuciaai i?e ?anniio?aiee iaeo?ei-
iuo inoeeeyoee a iieyo ?acee?iie eiioeao?aoee.
A ?acaaea 5.2 iieacaii, ?oi i?e inoeeeyoeyo iaeo?eii a ia?aiaiiuo
yeaeo?iiaaieoiuo iieyo ii?ao aicieeaou yaeaiea ia?aiao?e?anei-
ai ?aciiaina. Aey aaoo oeiia yeaeo?iiaaieoiuo iieae (aiieeooaii-
iiaoee?iaaiiie yeaeo?iiaaieoiie aieiu [?acaae 5.2.1] e iinoiyiiiai
ai a?aiaie iiia?a?iiai iaaieoiiai iiey n ia?eiae?anee iaiy?uaeny a
i?ino?ainoaa aiieeooaie [?acaae 5.2.2]) iaeaaiu aa?iyoiinoe iaeo?ei-
iuo ia?aoiaia e iieacaii, ?oi aiieeooau aa?iyoiinoae inoeeeyoee
aic?anoa?o ni a?aiaiai i?e ii?aaaeaiiii iiaai?a ia?aiao?ia aiao-
ieo yeaeo?iiaaieoiuo iieae. A ?acaaea 5.2.3 iano?aa?ony iaeioi?ua
aicii?iua i?eei?aiey yaeaiey ia?aiao?e?aneiai ?aciiaina.
A caee??aiee ia?a?eneaiu iieo?aiiua ?acoeuoaou e e?aoei noi?-
ioee?iaaiu iniiaiua auaiau aenna?oaoee.
A i?eei?aieyo A e B i?aanoaaeai iaai? i?aaee Oaeiiaia e oa?ae-
oa?iuo oaeiiaiianeeo eioaa?aeia, eioi?ua eniieuciaaeenu i?e ennea-
aiaaiee yeaeo?iiaaieoiuo oi?ioaeoi?ia ianneaiiai iaeo?eii.




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INIIAIUA ?ACOEUOAOU AENNA?OAOEE

Iniiaiua ?acoeuoaou ?aaiou, ecei?aiiie a aenna?oaoee, ii?ii
e?aoei noi?ioee?iaaou neaao?uei ia?acii:

1) a ?aieao ieieiaeuii ?anoe?aiiie noaiaa?oiie iiaaee n SU(2)-
neiaeaoiui i?aaui iaeo?eii, n eniieuciaaieai ?acia?iie ?aao-
ey?ecaoee e iauae R? -eaeea?iaee, a iaiiiaoeaaii i?eaee?aiee
au?eneaiu aeeaau oaeiiaiianeeo aeaa?aii a yeaeo?iiaaieoio?
aa?oeiio? ooieoe? iaeo?eii ?µ (q); i?e au?eneaiee aeeaaia
anao aeaa?aii yaii o?oaia iaioeaaay ianna iaeo?eii; enneaaiaa-
ii ?acei?aiea aa?oeiiie ooieoee oa?ieiia ia oi?ioaeoi?u e
iiaoaa??aaia aai ni?aaaaeeainou n iiiiuu? i?yiiai ?an?aoa aey
neo?ay ianneaiiai iaeo?eii a ?aieao ieieiaeuii ?anoe?aiiie
noaiaa?oiie iiaaee, aiiieiaiiie SU(2)-neiaeaoiui i?aaui iae-
o?eii; iieacaii, ?oi i?e ii?aaaeaiiii auai?a eaeea?iai?iuo ia-
?aiao?ia yeaeo?iiaaieoiay aa?oeiiay ooieoey ianneaiiai iae-
o?eii noaiiaeony eiia?iie, o.a. au?a?aiey aey anao yeaeo?iiaa-
ieoiuo oi?ioaeoi?ia ia niaa??ao oeuo?aoeieaoiauo ?anoiae-
iinoae;

2) au?eneaiu aeeaau anao oaeiiaiianeeo aeaa?aii a ca?yaiaue
oi?ioaeoi? ianneaiiai iaeo?eii, i?e?ai cia?aiea eaaa?aoa ei-
ioeuna aiaoiaai oioiia i?e yoii ia oeene?iaaeinu; aaiiua aeea-
au oi?ii o?eouaa?o cia?aiey ianniauo ia?aiao?ia ca?y?aiiiai
eaioiia a = (m /MW )2 e iaeo?eii b, cia?aiey eaeea?iai?iuo ia-
?aiao?ia W - e Z-aiciiia a aaiiuo oi?ioeao oae?a auee i?iec-
aieuiuie; iieo?aiu aeeaau ?acee?iuo oaeiiaiianeeo aeaa?aii
a yeaeo?e?aneee ca?ya iaeo?eii, cia?aiea eioi?iai ii?aaaeyaony

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ca?yaiaui oi?ioaeoi?ii i?e ioeaaie ia?aaa?a eiioeuna; yaiui
ia?acii iieacaii, ?oi yeaeo?e?aneee ca?ya iaeo?eii ia caaeneo io
auai?a eaeea?iaee e ?aaai ioe? a ioeaaii e ia?aii ii?yaeao ?ac-
ei?aiey ii ianniaiio ia?aiao?o iaeo?eii b noiiu anao iaiiiao-
eaauo aeaa?aii; e?iia oiai, i?e iiiiue iaiin?aanoaaiiiai ?an-
?aoa i?iaaiiino?e?iaaii, ?oi a eaeea?iaea 'o Oiooa-Oaeiiaia
ca?ya iaeo?eii ?aaai ioe? i?e i?iecaieuiie ianna iaeo?eii;

3) iieo?aiu aeeaau anao oaeiiaiianeeo aeaa?aii a iaaieoiue oi?i-
oaeoi? ianneaiiai iaeo?eii, i?e?ai cia?aiea eaaa?aoa eiioeuna
aiaoiaai oioiia i?e yoii ia oeene?iaaeinu; aaiiua aeeaau oi?-
ii o?eouaa?o cia?aiey ianniauo ia?aiao?ia ca?y?aiiiai eaioi-
ia a e iaeo?eii b, cia?aiea eaeea?iai?iiai ia?aiao?a W -aiciia a
aaiiuo oi?ioeao oae?a auei i?iecaieuiui; enneaaiaaia caaene-
iinou iaaieoiiai oi?ioaeoi?a ianneaiiai iaeo?eii io eaaa?aoa
eiioeuna aiaoiaai oioiia i?e ?acee?iuo cia?aieyo eaeea?iai?-
iiai ia?aiao?a; iaeaaiu eioaa?aeuiua au?a?aiey aey aeeaaia
?acee?iuo oaeiiaiianeeo aeaa?aii a iaaieoiue iiiaio iannea-
iiai iaeo?eii; i?iaaaai i?yiie ?an?ao, iieacuaa?uee, ?oi noi-
ia anao aeeaaia ia caaeneo io auai?a eaeea?iaee; iieo?aiiua
?acoeuoaou aa?o aicii?iinou enneaaiaaou caaeneiinou iaaieo-
iiai iiiaioa ianneaiiai iaeo?eii io iann anao ?anoeo; a ?anoii-
noe, ?anniio?aiu neaao?uea aeaiaciiu iann: m? MW ,
m
MW e m m? , eioi?ua ioaaouaa?o i?ae-
m m? MW
oe?anee ana oai?aoe?anee aiionoeiua cia?aiey iann iaeo?eii (a
i?aaiiei?aiee nouanoaiaaiey aeiioaoe?aneiai ?aoaa?oiai a?iia-
oa iaeo?eii), ca?y?aiiiai eaioiia e W -aiciia;


9
4) au?eneaiu aeeaau anao iaiiiaoeaauo oaeiiaiianeeo aeaa?aii a
aiaiieuiue oi?ioaeoi? ianneaiiai iaeo?eii, i?e?ai cia?aiea
eaaa?aoa eiioeuna aiaoiaai oioiia i?e yoii ia oeene?iaaeinu;
aaiiua aeeaau oi?ii o?eouaa?o cia?aiey ianniauo ia?aiao?ia
ca?y?aiiiai eaioiia a e iaeo?eii b; cia?aiey eaeea?iai?iuo ia-
?aiao?ia W - e Z-aiciiia a aaiiuo oi?ioeao oae?a auee i?iec-
aieuiuie; iieo?aiu aeeaau ?acee?iuo oaeiiaiianeeo aeaa?aii
a aiaiieuiue iiiaio ianneaiiai iaeo?eii ia iniiaa au?a?aiee
aey aiaiieuiiai oi?ioaeoi?a iaeo?eii; iieacaii, aiaiieuiue
iiiaio ianneaiiai iaeo?eii yaeyaony ?anoiayuaeny aaee?eiie e
caaeneo io auai?a eaeea?iaee;

5) eco?aia yaie?oey nieia iaeo?eii a i?iecaieuiuo aiaoieo iieyo;
?anniio?aia yaie?oey nieia iaeo?eii, acaeiiaaenoao?uaai n aa-
uanoaii a ?aieao oece?aneie iiaaee, aiionea?uae iiaua, aieaa
iauea oeiu acaeiiaaenoaey iaeo?eii; auaaaaii eaaceeeanne?a-
neia o?aaiaiea yaie?oee nieia iaeo?eii iai?yio? ec eaa?ai?e-
aia acaeiiaaenoaey iaeo?eii, eioi?ue aee??aao a naay ia oieu-
ei aaeoi?iia e aeneaeuii-aaeoi?iia acaeiiaaenoaey noaiaa?oiie
iiaaee, ii oae?a neaey?iia, inaaaineaey?iia, oaici?iia e inaa-
aioaici?iia acaeiiaaenoaey;

6) enneaaiaaia ?aeaenaoey nieia iaeo?eii a aauanoaa ni noioanoe?a-
neeie oa?aeoa?enoeeaie, oaeeie eae ieioiinou, nei?inou e iiey-
?ecaoey n?aau; a ea?anoaa i?eei?aiey ?anniao?eaaaiiai yaeaiey
eco?aia ?aeaenaoey nieia iaeo?eii a aauanoaa ?aiiae Anaeaiiie;
iieo?aii einiieiae?aneia ia?aie?aiea ia ianno i?iiiiai iaeo?e-
ii;

10
7) eco?aiu inoeeeyoee iaeo?eii a yeaeo?iiaaieoiuo iieyo ?acee?-
iie eiioeao?aoee; ?anniio?aiu iaeo?eiiua inoeeeyoee a i?e-
noonoaee iiey eeiaeii iiey?eciaaiiie yeaeo?iiaaieoiie aieiu;
aaoaeuii i?iaiaeece?iaaii oneiaea ?aciiainiiai oneeaiey inoee-
eyoee e ?ac?aaioai iiaoia e ea?anoaaiiiio enneaaiaaie? ?aoa-
iey o?aaiaiey yaie?oee iaeo?eii aaeece oi?ee ?aciiaina, eioi-
?ue ii?ao auou eniieuciaai i?e ?anniio?aiee iaeo?eiiuo in-
oeeeyoee a iieyo ?acee?iie eiioeao?aoee;

8) iieacaii, ?oi i?e inoeeeyoeyo iaeo?eii a ia?aiaiiuo yeaeo?i-
iaaieoiuo iieyo ii?ao aicieeaou yaeaiea ia?aiao?e?aneiai ?a-
ciiaina; aey aaoo oeiia yeaeo?iiaaieoiuo iieae (aiieeooaii-ii-
aoee?iaaiiie yeaeo?iiaaieoiie aieiu e iinoiyiiiai ai a?aiaie
iiia?a?iiai iaaieoiiai iiey n ia?eiae?anee iaiy?uaeny a i?i-
no?ainoaa aiieeooaie) iaeaaiu aa?iyoiinoe iaeo?eiiuo ia?aoi-
aia e iieacaii, ?oi aiieeooau aa?iyoiinoae inoeeeyoee aic?an-
oa?o ni a?aiaiai i?e ii?aaaeaiiii iiaai?a ia?aiao?ia aiaoieo
yeaeo?iiaaieoiuo iieae; i?aaei?aiu iaeioi?ua aicii?iua i?e-
ei?aiey yaeaiey ia?aiao?e?aneiai ?aciiaina.

Iniiaiia niaa??aiea aenna?oaoee e ?acoeuoaou auiieiaiiuo en-
neaaiaaiee iioaeeeiaaiu a neaao?ueo ?aaioao:

1) Dvornikov M., Studenikin A., ?Electric charge and magnetic moment
of a massive neutrino?// Phys. Rev. D, v.69, p.073001, 2004; e-Print
Archive: hep-ph/0305206.

2) Aai?ieeia I.N., Nooaaieeei A.E., ?Ia?aiao?e?aneee ?aciiain
i?e inoeeeyoeyo iaeo?eii a ia?eiae?anee iaiy?ueony yeaeo?i-
iaaieoiuo iieyo?// ?O, o.67, N.741-747, 2004.

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3) Dvornikov M., Studenikin A., ?Neutrino spin evolution in presence
of general external elds?// J. High Energy Phys., v.09, p.016, 2002;
e-Print Archive: hep-ph/0202113.

4) Aai?ieeia I.N., Nooaaieeei A.E., ?Inoeeeyoee iaeo?eii a ii-
ea eeiaeii iiey?eciaaiiie yeaeo?iiaaieoiie aieiu?//?O, o.64,
N.1705-1708, 2001.

5) Dvornikov M., Studenikin A., ?Parametric resonance of neutrino oscil-
lations in electromagnetic wave?// in: ?Proceedings of the 3rd Inter-
national Workshop on ?New Worlds in Astroparticle Physics ?, ed. by

A.Mourao, M.Pimento, P.Sa, J.Velhinho, World Scientic, Singapore,
2000; e-Print Archive: hep-ph/0102099.

6) Dvornikov M., Studenikin A., ?Parametric Resonance Amplication of
Neutrino Oscillations in Electromagnetic Wave with Varying Amplitu-
de and ?Castle Wall“ Magnetic Field?// in: ?Results and Perspectives
in Particle Physics?, ed. by M.Greco, Frascati Physics Series, v.XXII,
p.93, 2001; e-Print Archive: hep-ph/0107109.

7) Dvornikov M., Egorov A., Lobanov A., Studenikin A., ?Covariant
Treatment of Neutrino Spin (Flavor) Conversion in Matter under the
Inuence of Electromagnetic Fields?// in: ?Particle Physics at the
Start of the New Millennium?, ed. by A.Studenikin, World Scientic,
Singapore, 2001, p.178; e-Print Archive: hep-ph/0103015.

8) Dvornikov M., Studenikin A., ?Neutrino Spin Evolution in General
External Fields?// in: ?Results and Perspectives in Particle Physics?,
ed. by M.Greco, Frascati Physics Series, v.XXVII, p.171, 2002.



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