Ofi1aeAMMeHHbll MHCTMTYT RAepHWl

MCCleAOl8HMM

AYfiH8

P2-85-243

JIB ABJleeB B-lJlJepltpeJlb

nonpABK~ HA KOHEqHWA PA3MEP lJJIH AHT~~EPPOMArH~THOR XXX-UEnOQKH

HanpaBl1eHO B Journal of Physics A

1985

ABIl~~ JI wo Ue p~~ ]I DE - u bull

IIOIlpaBKl1 Ha K0 1UllKutt pasuep 0 bull 0

P2- 85- 2 IO 1985

Toqno KHTerpepyeMNe MO~enR R B qa CTHOCTH 0~OM8pHaa H30Tponshy

HaR XXX-Mo~enb rea3eH~epra C raMRHbTOHEaHOM

J N - Jl i ( degH - 1) ( I)

mryT ~HTb pewelllo C IIOMOuthlO IIOICTaHOBKK EeTI HImoe p eweHKe 110shy

IeJm ( 1) Tpe6yeT HaxOlEJlemm tOpMea TaR HaSllBaeMIiX ypaBHemrlt aH3~a

BeTe (YAE)

Aj T i 2 ) N =- _ nAi - Ak + i( (J 1 M)

- i2 hI -J -gt-10 - i (2)

B CJIY1Jae BaKYYMHoro COCTORHIDI npJII qeTHHX N 11 J gt 0 (aHTllIPePshypoMaIHeTl1R)pemeIme co~eplDIT M~ N2 BellleCTBeHIDIX RopHea B rrpen6shy

JIe ~eCKoHelffioro paSMepa CJlI C1eMN N - 00 bull 1JRCJIO ypaBHeHlf1t J1I Heshy

K3BGCTHHX CTpeMHT Cff R 6e CKOHelffiOCTB ITPH aTOM YAE Mar y 1 ~H1b CBeIeHU

K mmoiiHOMY HHTerp M bHoMY ypaBle~ ~Jl CPYH~ lIJIO1HOCTH 2 1lt010shy

poe ~erKO pemaeTCJl ( c~ 06 aopl 3 )

B HeIaBHen pa60Te 4 6~ npe~o~eH MeTOI BH1JRCJIeHKR nonpaBoK Ha

IltOHelffiIDl pa3Mep IJ)UI IrIOIenea C HeHYJIeBolt MaC COBOn llIe~bl lIOCJI6J4Hee

OrpaHH1JeHKe HrpMo npz aTOM CYllleCTBeHHYro P~b TaR qTO MeTO~ HerrpHshy

M8HEM K XXX-MOIanH rIe MaCCOB8Jl menb OTCYTCTBye1

O~aKO BOCrr~bSOBaBillHCb aHMOrn1JROn HCXO~On HIeea MN CYMenH

nOJIYlliTh aHaJIH1Hqe CKOe Bl1p8lKelme IJ)UI nepBOA nonpaBKI K mepIID Bashy

KYYM8 ROTopoe xopomo corJIacyeTCff C HalIIHMPl fJIlCJIeHHIiMB paCleT8Mll Jtashy1ee MIi qoPMYJIHpyeu HOBYll llTepaIlllOHHYJl npouellYpy ~ I8XOampIteHJUI lDlOTshy

ROCTB KOpHe J1I nOKaSllB8eM 6nHsOCTL nepBOro npR~eHHR K To~ol lDlOTshy

ROCTH Ha1tleHHo1 1JRCJIeKHO

B paCCMaTplIB8eMOI4 CI1Ylae clilcTewa YAE (2 ) JrtgtampeT 6HU IIpe06paBOBashy

Ha K CJIeI(yDIleMY BHIY N2

Q 1L - - oiGn (2 )~ ) - iN ~ ~ ( A())N - 1i (3)

rne QJ bull IQ~ ~ Q ILI - (nony) ~e DlCJl8 B 3amtCJDlOCflII

01 Q IwQII = N it - 12 IIplI 60JILIIIIIix N yn06RO paOCM8TpaBaTL

z ( A)=QNJ I

I

N21

Z l))= i atan (2 A) - 1i N 2 atan (A - )J TI I 1lt = 1 ( 4)

is nPOH3BO~JO 01 aToil WHKmm ~~ = 0N ( ) )

() () = ~ _113- __1_12__ 1_ _ 2shy

N Tt1j4+A1 1lN I=i 1+ ( X -Ak) I (5)

KOTOprur lUpaeT po1lIgt Il1IOTHOCTl pacnp eI(eJIetnIJI ROpHe 3HepIWl COOTOR- shy

HRH paDHa I N 2

E = - Jgt 1 2 2 bull

N ~ 1it + )1lt (6)

~e~cTBYR no MeTo~ pa60~HI4I MOKRO ITp eI(CT8BHTh ITOnpSBKH HS KOHe~shyHlll pa3Mep B BHlIe

~()N( )) = GN(A) - G (gt)= NI2

= - ftit PO-t ) [ ~ L o(f-gt-k)-- uirJ] (7) -Ocent 1=1

OQ Ni2 f1 l6E =E -E =-1iJN SdAGo(A)L a( A -Ak)-GN( A)1 (8)

N N -00 II k~ l

aITeCigt cgto l ) P

Po)= ( ~ -~--rpl = j- Re P( 1-i A) j 2 11 1-te 1l r J ( 9)

-00

a BllpaxeHWI B npeI(eJIB 6ecKoHe~OIO paSMepa mrem 1llfI

1 _ (J ( ) ) = ~ (_)) E =- JN ~2 CXJ

(IO)

IIOI(CIHla eN Teneplgt JDJltHpyuIlIIt BIUIaI( B b E N PemeHlJe ypaBHelmH (4 ) OlHOClITeJIlgtHO A onpeI(eJISle1 tPYHKIlKIl AN [z] WUl HenpepllBHHX Z ]eJlSS 38JdeHY nepeMeHHHoii II (8) MIl ITOJrYllll

yenIt NI2 ~ EN=- TI JN ) dz (5 bull J~[2J) [iL ~(z - z~)-1J

- 14 N =~ (II) r ne Zk -i4 + (k -112)N bull IIpoc5neraquoa COCTOlt1 B TOil ITO nOOllt01Ibshy

KY TODmJI lDlOTHO CTlgt Helt3B8CiH8 HeRaDeCTlla II ~ IIN [ z] bull Ho mme tIH U01lt8Jlell iTO mleCTO HeEl MOZHO nOI(OramlTIgt B HatteCTBe nepBOlO IIjn[6mmelmH

2

A [z] == i fA ittJ[1l(2+14)] 00 1i (12)

E TorI(a rrorrpaBRa B~CJIJeTCR

(1) [1 __~ ] _ J 112 Ih( i ) LlEN = -nJN 2 N ~in (xN) 2n --N12 Tu N3

(I3)

Ko~eHT 5I1~2 08225 corJIacyeTcR C HamKM SKCneplMeHTaJIIgtHHM

3HaielUl9M 0823 nOI(ClllTaHHHM C rrOMODtIgtJO ~p~JIIl (6) no lllC-

JIeHllHM pemellllBU lAB (2) BIllIon I(O N = 256 ( CM TaM I) IIonshy

panKK K 3HeprKH OCHOBHOro COCTO~ ~ OTHO CHTeJIIgtHO He60JIhmKX N BTIepBlle 6anR BijlKcne~ B pa60Te 2 a BnocnenCTBBR 3aBllCHMOCTIgt

01 N(~12) HSY1aJISCIgt B 51 O)nfaRO I(O HaCTORlIero BpeMeIm aHamITlJiecKOro

BIlpaampeHRli rrOJIYleHO He 6wro

TaM HIIll I IIoITpaBKa K aHeprBH OCHOBHOTO COCTOnHKR ~ KOHeIHNX N

( lll~~eHHHe pesynlgtTaTH)

N -HAEJ N N N

--~EJ N N -i 6E iJ N

4 6 8

0 909645 0863355 0847328

10 16 32

0839745 0831064 0826165

64 130 256

0824437 0823687 0823318

Tenep am XOTliM oueHHTlgt 0DIl16Ky Bli3BaHJrYD 3a11eHo lt B ~p~JIe

( II) AN[zl R8 [z] 11 ~ 1t - 2

~E(2) = - 2 J JN ~ dz c(gt- [aJ)- oj x (z))[tL ~(Z-2k) - ~ ] NOH k~1 ( I 4)

Pa306lgteu RHTepBaJI 1HTer PHpoB8lDl8 H8 I(Be l8CTH B IIepooA o6JIsOTlI

o ~ z 5 V4 - 1 N bull CI(BBIJI ItOpHel llA [2] = ) 121 -) [ 2J II8JDl JJ

(gt] N N

1AA [ ~J - ( r tix A(S ( gt) ( 15) Ii G ) [ 2]) l N

- - a

3

ABIl~~ JI wo Ue p~~ ]I DE - u bull

IIOIlpaBKl1 Ha K0 1UllKutt pasuep 0 bull 0

P2- 85- 2 IO 1985

Toqno KHTerpepyeMNe MO~enR R B qa CTHOCTH 0~OM8pHaa H30Tponshy

HaR XXX-Mo~enb rea3eH~epra C raMRHbTOHEaHOM

J N - Jl i ( degH - 1) ( I)

mryT ~HTb pewelllo C IIOMOuthlO IIOICTaHOBKK EeTI HImoe p eweHKe 110shy

IeJm ( 1) Tpe6yeT HaxOlEJlemm tOpMea TaR HaSllBaeMIiX ypaBHemrlt aH3~a

BeTe (YAE)

Aj T i 2 ) N =- _ nAi - Ak + i( (J 1 M)

- i2 hI -J -gt-10 - i (2)

B CJIY1Jae BaKYYMHoro COCTORHIDI npJII qeTHHX N 11 J gt 0 (aHTllIPePshypoMaIHeTl1R)pemeIme co~eplDIT M~ N2 BellleCTBeHIDIX RopHea B rrpen6shy

JIe ~eCKoHelffioro paSMepa CJlI C1eMN N - 00 bull 1JRCJIO ypaBHeHlf1t J1I Heshy

K3BGCTHHX CTpeMHT Cff R 6e CKOHelffiOCTB ITPH aTOM YAE Mar y 1 ~H1b CBeIeHU

K mmoiiHOMY HHTerp M bHoMY ypaBle~ ~Jl CPYH~ lIJIO1HOCTH 2 1lt010shy

poe ~erKO pemaeTCJl ( c~ 06 aopl 3 )

B HeIaBHen pa60Te 4 6~ npe~o~eH MeTOI BH1JRCJIeHKR nonpaBoK Ha

IltOHelffiIDl pa3Mep IJ)UI IrIOIenea C HeHYJIeBolt MaC COBOn llIe~bl lIOCJI6J4Hee

OrpaHH1JeHKe HrpMo npz aTOM CYllleCTBeHHYro P~b TaR qTO MeTO~ HerrpHshy

M8HEM K XXX-MOIanH rIe MaCCOB8Jl menb OTCYTCTBye1

O~aKO BOCrr~bSOBaBillHCb aHMOrn1JROn HCXO~On HIeea MN CYMenH

nOJIYlliTh aHaJIH1Hqe CKOe Bl1p8lKelme IJ)UI nepBOA nonpaBKI K mepIID Bashy

KYYM8 ROTopoe xopomo corJIacyeTCff C HalIIHMPl fJIlCJIeHHIiMB paCleT8Mll Jtashy1ee MIi qoPMYJIHpyeu HOBYll llTepaIlllOHHYJl npouellYpy ~ I8XOampIteHJUI lDlOTshy

ROCTB KOpHe J1I nOKaSllB8eM 6nHsOCTL nepBOro npR~eHHR K To~ol lDlOTshy

ROCTH Ha1tleHHo1 1JRCJIeKHO

B paCCMaTplIB8eMOI4 CI1Ylae clilcTewa YAE (2 ) JrtgtampeT 6HU IIpe06paBOBashy

Ha K CJIeI(yDIleMY BHIY N2

Q 1L - - oiGn (2 )~ ) - iN ~ ~ ( A())N - 1i (3)

rne QJ bull IQ~ ~ Q ILI - (nony) ~e DlCJl8 B 3amtCJDlOCflII

01 Q IwQII = N it - 12 IIplI 60JILIIIIIix N yn06RO paOCM8TpaBaTL

z ( A)=QNJ I

I

N21

Z l))= i atan (2 A) - 1i N 2 atan (A - )J TI I 1lt = 1 ( 4)

is nPOH3BO~JO 01 aToil WHKmm ~~ = 0N ( ) )

() () = ~ _113- __1_12__ 1_ _ 2shy

N Tt1j4+A1 1lN I=i 1+ ( X -Ak) I (5)

KOTOprur lUpaeT po1lIgt Il1IOTHOCTl pacnp eI(eJIetnIJI ROpHe 3HepIWl COOTOR- shy

HRH paDHa I N 2

E = - Jgt 1 2 2 bull

N ~ 1it + )1lt (6)

~e~cTBYR no MeTo~ pa60~HI4I MOKRO ITp eI(CT8BHTh ITOnpSBKH HS KOHe~shyHlll pa3Mep B BHlIe

~()N( )) = GN(A) - G (gt)= NI2

= - ftit PO-t ) [ ~ L o(f-gt-k)-- uirJ] (7) -Ocent 1=1

OQ Ni2 f1 l6E =E -E =-1iJN SdAGo(A)L a( A -Ak)-GN( A)1 (8)

N N -00 II k~ l

aITeCigt cgto l ) P

Po)= ( ~ -~--rpl = j- Re P( 1-i A) j 2 11 1-te 1l r J ( 9)

-00

a BllpaxeHWI B npeI(eJIB 6ecKoHe~OIO paSMepa mrem 1llfI

1 _ (J ( ) ) = ~ (_)) E =- JN ~2 CXJ

(IO)

IIOI(CIHla eN Teneplgt JDJltHpyuIlIIt BIUIaI( B b E N PemeHlJe ypaBHelmH (4 ) OlHOClITeJIlgtHO A onpeI(eJISle1 tPYHKIlKIl AN [z] WUl HenpepllBHHX Z ]eJlSS 38JdeHY nepeMeHHHoii II (8) MIl ITOJrYllll

yenIt NI2 ~ EN=- TI JN ) dz (5 bull J~[2J) [iL ~(z - z~)-1J

- 14 N =~ (II) r ne Zk -i4 + (k -112)N bull IIpoc5neraquoa COCTOlt1 B TOil ITO nOOllt01Ibshy

KY TODmJI lDlOTHO CTlgt Helt3B8CiH8 HeRaDeCTlla II ~ IIN [ z] bull Ho mme tIH U01lt8Jlell iTO mleCTO HeEl MOZHO nOI(OramlTIgt B HatteCTBe nepBOlO IIjn[6mmelmH

2

A [z] == i fA ittJ[1l(2+14)] 00 1i (12)

E TorI(a rrorrpaBRa B~CJIJeTCR

(1) [1 __~ ] _ J 112 Ih( i ) LlEN = -nJN 2 N ~in (xN) 2n --N12 Tu N3

(I3)

Ko~eHT 5I1~2 08225 corJIacyeTcR C HamKM SKCneplMeHTaJIIgtHHM

3HaielUl9M 0823 nOI(ClllTaHHHM C rrOMODtIgtJO ~p~JIIl (6) no lllC-

JIeHllHM pemellllBU lAB (2) BIllIon I(O N = 256 ( CM TaM I) IIonshy

panKK K 3HeprKH OCHOBHOro COCTO~ ~ OTHO CHTeJIIgtHO He60JIhmKX N BTIepBlle 6anR BijlKcne~ B pa60Te 2 a BnocnenCTBBR 3aBllCHMOCTIgt

01 N(~12) HSY1aJISCIgt B 51 O)nfaRO I(O HaCTORlIero BpeMeIm aHamITlJiecKOro

BIlpaampeHRli rrOJIYleHO He 6wro

TaM HIIll I IIoITpaBKa K aHeprBH OCHOBHOTO COCTOnHKR ~ KOHeIHNX N

( lll~~eHHHe pesynlgtTaTH)

N -HAEJ N N N

--~EJ N N -i 6E iJ N

4 6 8

0 909645 0863355 0847328

10 16 32

0839745 0831064 0826165

64 130 256

0824437 0823687 0823318

Tenep am XOTliM oueHHTlgt 0DIl16Ky Bli3BaHJrYD 3a11eHo lt B ~p~JIe

( II) AN[zl R8 [z] 11 ~ 1t - 2

~E(2) = - 2 J JN ~ dz c(gt- [aJ)- oj x (z))[tL ~(Z-2k) - ~ ] NOH k~1 ( I 4)

Pa306lgteu RHTepBaJI 1HTer PHpoB8lDl8 H8 I(Be l8CTH B IIepooA o6JIsOTlI

o ~ z 5 V4 - 1 N bull CI(BBIJI ItOpHel llA [2] = ) 121 -) [ 2J II8JDl JJ

(gt] N N

1AA [ ~J - ( r tix A(S ( gt) ( 15) Ii G ) [ 2]) l N

- - a

3

N21

Z l))= i atan (2 A) - 1i N 2 atan (A - )J TI I 1lt = 1 ( 4)

is nPOH3BO~JO 01 aToil WHKmm ~~ = 0N ( ) )

() () = ~ _113- __1_12__ 1_ _ 2shy

N Tt1j4+A1 1lN I=i 1+ ( X -Ak) I (5)

KOTOprur lUpaeT po1lIgt Il1IOTHOCTl pacnp eI(eJIetnIJI ROpHe 3HepIWl COOTOR- shy

HRH paDHa I N 2

E = - Jgt 1 2 2 bull

N ~ 1it + )1lt (6)

~e~cTBYR no MeTo~ pa60~HI4I MOKRO ITp eI(CT8BHTh ITOnpSBKH HS KOHe~shyHlll pa3Mep B BHlIe

~()N( )) = GN(A) - G (gt)= NI2

= - ftit PO-t ) [ ~ L o(f-gt-k)-- uirJ] (7) -Ocent 1=1

OQ Ni2 f1 l6E =E -E =-1iJN SdAGo(A)L a( A -Ak)-GN( A)1 (8)

N N -00 II k~ l

aITeCigt cgto l ) P

Po)= ( ~ -~--rpl = j- Re P( 1-i A) j 2 11 1-te 1l r J ( 9)

-00

a BllpaxeHWI B npeI(eJIB 6ecKoHe~OIO paSMepa mrem 1llfI

1 _ (J ( ) ) = ~ (_)) E =- JN ~2 CXJ

(IO)

IIOI(CIHla eN Teneplgt JDJltHpyuIlIIt BIUIaI( B b E N PemeHlJe ypaBHelmH (4 ) OlHOClITeJIlgtHO A onpeI(eJISle1 tPYHKIlKIl AN [z] WUl HenpepllBHHX Z ]eJlSS 38JdeHY nepeMeHHHoii II (8) MIl ITOJrYllll

yenIt NI2 ~ EN=- TI JN ) dz (5 bull J~[2J) [iL ~(z - z~)-1J

- 14 N =~ (II) r ne Zk -i4 + (k -112)N bull IIpoc5neraquoa COCTOlt1 B TOil ITO nOOllt01Ibshy

KY TODmJI lDlOTHO CTlgt Helt3B8CiH8 HeRaDeCTlla II ~ IIN [ z] bull Ho mme tIH U01lt8Jlell iTO mleCTO HeEl MOZHO nOI(OramlTIgt B HatteCTBe nepBOlO IIjn[6mmelmH

2

A [z] == i fA ittJ[1l(2+14)] 00 1i (12)

E TorI(a rrorrpaBRa B~CJIJeTCR

(1) [1 __~ ] _ J 112 Ih( i ) LlEN = -nJN 2 N ~in (xN) 2n --N12 Tu N3

(I3)

Ko~eHT 5I1~2 08225 corJIacyeTcR C HamKM SKCneplMeHTaJIIgtHHM

3HaielUl9M 0823 nOI(ClllTaHHHM C rrOMODtIgtJO ~p~JIIl (6) no lllC-

JIeHllHM pemellllBU lAB (2) BIllIon I(O N = 256 ( CM TaM I) IIonshy

panKK K 3HeprKH OCHOBHOro COCTO~ ~ OTHO CHTeJIIgtHO He60JIhmKX N BTIepBlle 6anR BijlKcne~ B pa60Te 2 a BnocnenCTBBR 3aBllCHMOCTIgt

01 N(~12) HSY1aJISCIgt B 51 O)nfaRO I(O HaCTORlIero BpeMeIm aHamITlJiecKOro

BIlpaampeHRli rrOJIYleHO He 6wro

TaM HIIll I IIoITpaBKa K aHeprBH OCHOBHOTO COCTOnHKR ~ KOHeIHNX N

( lll~~eHHHe pesynlgtTaTH)

N -HAEJ N N N

--~EJ N N -i 6E iJ N

4 6 8

0 909645 0863355 0847328

10 16 32

0839745 0831064 0826165

64 130 256

0824437 0823687 0823318

Tenep am XOTliM oueHHTlgt 0DIl16Ky Bli3BaHJrYD 3a11eHo lt B ~p~JIe

( II) AN[zl R8 [z] 11 ~ 1t - 2

~E(2) = - 2 J JN ~ dz c(gt- [aJ)- oj x (z))[tL ~(Z-2k) - ~ ] NOH k~1 ( I 4)

Pa306lgteu RHTepBaJI 1HTer PHpoB8lDl8 H8 I(Be l8CTH B IIepooA o6JIsOTlI

o ~ z 5 V4 - 1 N bull CI(BBIJI ItOpHel llA [2] = ) 121 -) [ 2J II8JDl JJ

(gt] N N

1AA [ ~J - ( r tix A(S ( gt) ( 15) Ii G ) [ 2]) l N

- - a

3

Tor1t8 pa3JIarrur ()00 nOJIYiRM

4 -1N )ooL~] 112 ~El~) ~ -21lJN )d~ ~(21lZ)r ~I A ltSN()[i L S(r-2~-1J

N ) N I

1it 0 0 N2 ~= I -1tA [ZJ( --r~A [2] )[1 t ]- 2~ J N (l Z e e -1 middot - L 0 (z- 2~) -100 ~ N k1 (16)

4-1N PaSHOCTb MeKlC cYMMOA H HHTerpaJIo14 B (16) ~eT IrIHOlltHTeJIb 1 N~ Heme oOla CTeneHb 1N BOSHHK8eT HS f d) A (JN (CM rome) Bo BTopoA o6naCTH 14-1N~ z ~ V4 BeJlHmH8 AAN [zJ yxe He MaJIa HO ItOnOJIHlllTeJIbHOe nOItaBJIeHHe 06eCnelHBaeTCJI 61lCTPIiM

y6llBa1D1eM (_(gt-) YlJlITliBaSI BC~ aTO MIl BIlBOItHM lIS (16) ITO

6E~) = l)CVN2) TalGIM 06paSOM ipopttyJrIl (II) H (13) Itam BOSshyMOXHOCTb ~KTlIBHO BllqzCXHTb nonpaBKH K aHeprKH ~ XXX-nenOlKH

PaCCMOTpRM Tenepb nonpaBKY K nnOTHOCTH KopHe PaSHOCTb 146ampshy

lIY CYMMOit H HHTerpaJrOM B (7) MOxeT 6UTb O~HeH8 CJIeJIYDItHM 06pashy

30M

A 0 (gt-) = -_1 [p(gt- -A ) + p () + gt- ~)] + 2 N

i4 + ) dz P(gt-- AN[Z1) + P()+ AN[ZJ) - (17)

~Il N2o 1 0 P()-AN[2))

-~3 tl ~ztJgt-iZ]) Iz=z~OAW[Z)

1 1 1lt _[z ] 2 =--- z lt~clrne 0gt1 - N ClLIl melllt 4 211 k-1 - k - kmiddot MH BIIItIM ITO nOCJIe npeo6pa30BaHWI nOCJIeItHeA CYMYIl D HHTerpaJI

CJIeItOBaJrO 6H plen OneHHBaTI ~ 0 (gt ) Hs HalIIHX lHCJIeHHHX ztaH-I Old

HIiX MIl MOJteM SaK1IIllHTb ITO ~6pQ_) = (O(N) IIPH N - 00 bull 11 rOIIt8 HeTpyItHO BllBeCTll HS (17) CJIenyDltIle COOTHOmeHHR

A IAoo[ZJ II A ON(gt) I s - ciA AO (A) lt ~ N J N - N (18)

llte A II B - KOHCTaHTli 0 0

Ho K coxaneHlDl llC)NC~) HeJIlgt3Ji BIilJlICJIHTb npoCTIiM1l HTepashy

llJUDOI no ipopl(VJle (7) HS-88 ue~emiOro y61iB8lWI ~ -~ (9)

0lIlB6xa mt3HBaelolBJl IIOItClaHOBKO1t gt-obullc z) BMeCTO ) iii [ i] 6YItel BeKOlIrpomlpye~I a 1l()J[JIaeIIKI T8K11M 06pa301( pe3YJ[bl8T OKaKelCH

HeBepmDlo tIHcneHJllle pacIe1li nOItTBePKlWlT 310 Jtaampe y 66 ( 0) 1l0000000eTCII BellpaBl(JIIgtHlli 3H8K Ilprlel( O1BeT Be CTpe)IIJTCJI It HYJIIl nPI N _00

N

0

IIoaTO~ MH CTpomt IpyryD HTepamIOHHYD cxe~)I1III criii ( A) Ha OCHOBe cooTHomeHHI (4) H (5)0 QT061l nOJrYlHTb ~~I) MIl IIOItshy

CTaBIDIeM B npBByD l8CTI Ak =gt[z kJ lIS (12) 0 3aTeM KaQId KOpeHb KOppeKTHpyeTCJI C nOMOlIbD (4) nOCJIe iero MOEHO HaxOneTb O~2) H

TIt 0 1Imr lIJlJIIJCTparnm aqxpeKTKBHOCTH cxeMll B TaM 2 H Ha pHC I CpaBHHBaeTCR nepBaR nOnpBBKa tl(j~n=6~) - () (mTpHXOBW JIlIHHII Ha

PIICo 1) C TOIHIDI SHaleIIlIeM ~(jN(~) (CWIOIllH8li JIlIHHII) paOClHTaH-

HIlM HellocpeItcTBeHHO IIO lHCJIeHHO~ pemeHHD YAB (2) IIpR N = ro

(IIOJlOKeHHe gt ~ = 0598087 OTMetteHo BePT1Ka1IbHhIM rryHKTIIIPOM) m~

Ta6JlHPa 2 TolJRaJI IIonpaBKa K WIOTHOCTll ~rsA) H ee IIepBOe npR6nDeHHe tlJS (1 )(A) npH N = ro

N

A ~()iO()) ~ ()10(1)())DG (gt-) ~()1~4)( ))X 40

16 147 _IQ-3 I6IoIQ-3 3 3

0 -292ro-3 -344 oIQ-3

- 18 I50ro-3 16110-302 --296 0 ro- -343 middotroshy

2 I38middotro-3 I47ro-304 -298 -ro-3 -33Imiddotro-3

22 II9 oro-3 I25IQ-306 -266middotIQ-3 -280 oIQ-3

24 984-10-4 104-10-3

4 08 -181-10-3 -I79ro-3

I -643 oIQ-4 -506 oroshy 26 800-IQ-4 84Imiddotro-4

5 56 339 0ro- 358 oroshy

3 3 12 436 oIQ-4 6IQmiddotIQ-4

16 647middotro-7 688middotro-714 II5 oro- I3I oroshy

-- _ _ shy

II GN

0002

20 1 If I ~

- 0002

- --- - 0004

PHo I

5

H H8KOHen B Ta6I 3 H aa pHC 2 IIOKaSaHa OTHO CHTeJILHaSI IIOshy

npaBKa K IlJIOTHOCTl bGN =AGNON II1UI N = 10 (TOlKBJm ) 11

N = 256 (mTpHX8Ml AU = 1635314)

Ta6Jnuy 3 OTHOCHTeJILHaSI nOnpaBKa K IlJIOTHOOTH 0G ()) zrlIJI N 10

l N = 256

) 8G10 ()) b(3256 () A S CliO ()) o()Z56())

0 02 04 06 08

I 12 14 16

-587middotro-j - 7I9 middot roshy 3

-114 middotroshy 2

-I82middotro-2

-2 3110-2 -2-I5Iro

I86middotro-2

854middotro-2

0183

- 450 middotroshy 5

-57010-5

-1 04 middotroshy 4

-229middotro-4

-547middotro-4

-134 roshy 3

-32310-3

_7I7middotro-3

-I34middotroshy 2

18 2 22 24 26 3 4 6 16

0300 0 424 0543 0649 0738 0864

1-19510-2

I-I 92middotro-4 1-22910-16

-I85 -ro-Z

-I 26 roshy 2

I76ro-2

806ro-2

0175 0417 0865 I-I 96middotro-3 1-308ro- I5

-shy - -

156 I004 I

I I

I002 i I I

o1 2 I

I

bull - I I A I

-DO n middotmiddotmiddotmiddotmiddotmiddotmiddoti ~ ~ I ---

PHc 2

Blmao ITO C POCTOM N 06JIaCTIgt r)te OTHOCHTeJlbH8R nOllpaBKa Nashy

JIa paCmlIpIleTCH B TO BpeMll KaJt CaMa a OilpaBJta BRYTpJI SToil OMaOn bullyMeHLmaeTCJl a aB ee rpaIDlIle oc~aeTCH npa KllfleCKil ReB3M1lHRoJt

ABTOPH np1l3HaTeJLHli AA ElIaIuDmPOBY sa nOJIe SHlle o6 c~elUlJl

(

JilrrepalYpa

I Bethe H Zeitschr fUr Phys 193 1 Ed 71 S 205 2 Hul t hen L Arkiv i o r liil t ematik Astrollomi och ysik

1938 Ed 261 H 3 N ii s L 3 ~~eeB ~ ~ TaxTa~ ~A 3an HaYlH ceMllli JIOftM i 981

109 c 134

4 de Ve ga HJ Il oynarovich F Meth od for cal cul ating f1nit e shy

--size corrections in Bethe - an s atz systems Heisenber g

chain and s ix- ve r t ex model LPTHE preprlnt 8 4 13 Paris 1984

5 Bonner Je Fisher UE Phys Rev 1964 135 31 p 64 0

PykorurcL 1l0CTynIlJIa B ll3AaT8JlLCrruil OTIt9JI

5 anpeJlii 1005 r Oll8

7