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Bibliography

1
J. Dobaczewski and J. Dudek, Comput. Phys. Commun. 102, 166 (1997).

2
J. Dobaczewski and J. Dudek, Comput. Phys. Commun. 102, 183 (1997).

3
J. Dobaczewski and J. Dudek, Comput. Phys. Commun. 131, 164 (2000).

4
S. Frauendorf, Rev. Mod. Phys. 73, 463 (2001).

5
J. Dobaczewski, J. Dudek, S.G. Rohozinski, and T.R. Werner, Phys. Rev. C62, 014310 (2000).

6
J. Dobaczewski, J. Dudek, S.G. Rohozinski, and T.R. Werner, Phys. Rev. C62, 014311 (2000).

7
A.K. Kerman and N. Onishi, Nucl. Phys. A361, 179 (1981).

8
D.A Varshalovitch, A.N. Moskalev, and V.K. Kersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988).

9
J.D. Jackson, Classical Electrodynamics (Wiley, New York, 1975).

10
P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, Berlin, 1980).

11
J. Engel, M. Bender, J. Dobaczewski, J.H. de Jesus, and P. Olbratowski, Phys. Rev. C68, 025501 (2003).

12
A.L. Goodman, Nucl. Phys. A230 (1974) 466.

13
J. Dobaczewski, H. Flocard and J. Treiner, Nucl. Phys. A422, 103 (1984).

14
M.V. Stoitsov, J. Dobaczewski, P. Ring, and S. Pittel, Phys. Rev. C 61, 034311 (2000).

15
P.-G. Reinhard and H. Flocard, Nucl. Phys. A584, 467 (1995).

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D. Vautherin and D.M. Brink, Phys. Rev. C5, 626 (1972).

17
M. Beiner, H. Flocard, N. Van Giai, and P. Quentin, Nucl. Phys. A238, 29 (1975).

18
M. Bender, K. Rutz, P.-G. Reinhard, and J.A. Maruhn, Eur. Phys. Jour. A7, 467 (2000).

19
M. Bender, J. Dobaczewski, J. Engel, and W. Nazarewicz, Phys. Rev. C65, 054322 (2002).

20
P. Olbratowski, J. Dobaczewski, and J. Dudek, nucl-th/0211075.

TEST RUN INPUT

============================================================================
| This file (la132-a.dat) contains the input data for the code HFODD.      |
| It defines two consecutive runs that lead to a planar solution in 132La. |
============================================================================
                          ------------  Nuclide  -------------
NUCLIDE
            75 57
                          ----------  Convergence  -----------
ITERATIONS
            5000
ITERAT_EPS
            0.000001
MAXANTIOSC
            5
                          -------  Skyrme interaction  -------
SKYRME-STD
            1 0 0 0 0
                          ---------  Configurations  ---------
VACSIG_NEU       PPSP  PPSM  PMSP  PMSM
                  19    19    19    18
VACSIG_PRO       PPSP  PPSM  PMSP  PMSM
                  15    15    14    13
                          ------------  HO basis  ------------
BASIS_SIZE
            10 286 800.
SURFAC_PAR
            75 57 1.230
SURFAC_DEF
            2 0 0.000
SURFAC_DEF
            4 0 0.000
                          ----------  Output data  -----------
MAX_MAGNET
            0 3
                          -----------  File names  -----------
REVIEWFILE
            la132-a.rev
REPLAYFILE
            la132-a.rec
RECORDFILE
            la132-a.rec
                          ----------  Constraints  -----------
OMEGAY
            0.000
MULTCONSTR
            2 0 0.5  7.0    1
MULTCONSTR
            2 2 0.5  7.0    1
                          ---------  Starting point  ---------
RESTART
            0
                          ------------  Calculate  -----------
EXECUTE
                          -----------  Symmetries  -----------
SIMPLEXY
            0
SIGNATUREY
            0
PARITY
            1
TSIMPLEX3D
            0 0 0
                          ---------  Configurations  ---------
VACPAR_NEU             PARP  PARM
                        38    37
VACPAR_PRO             PARP  PARM
                        30    27
                          ----------  Constraints  -----------
OMEGA_XYZ
            0.1443375673 0.1443375673 0.1443375673 1
OMEGA_TURN
            1
MULTCONSTR
            2 0 0.5  7.0    0
MULTCONSTR
            2 2 0.5  7.0    0
                          ---------  Starting point  ---------
RESTART
            1
CONT_OMEGA
            0
                          ------------  Calculate  -----------
EXECUTE
                          ------------  Terminate  -----------
ALL_DONE

TEST RUN OUTPUT

*******************************************************************************
*                                                                             *
*     HFODD    HFODD    HFODD    HFODD    HFODD    HFODD    HFODD    HFODD    *
*                                                                             *
*******************************************************************************
*                                                                             *
*             SKYRME-HARTREE-FOCK-BOGOLYUBOV CODE VERSION: 2.07F              *
*                                                                             *
*              NO SYMMETRY-PLANES AND NO TIME-REVERSAL SYMMETRY               *
*                                                                             *
*                DEFORMED CARTESIAN HARMONIC-OSCILLATOR BASIS                 *
*                                                                             *
*******************************************************************************
*                                                                             *
*                J. DOBACZEWSKI, J. DUDEK, AND P. OLBRATOWSKI                 *
*                                                                             *
*               INSTITUT DE RECHERCHES SUBATOMIQUES, STRASBOURG               *
*                                                                             *
*                   INSTYTUT FIZYKI TEORETYCZNEJ, WARSZAWA                    *
*                                                                             *
*                                  1993-2004                                  *
*                                                                             *
*******************************************************************************

*******************************************************************************
*                                                                             *
*                           SKYRME FORCE DEFINITION                           *
*                                                                             *
*******************************************************************************
*                                                                             *
* PARAMETER SET SKM*:  T0= -2645.00  T1=   410.00  T2=  -135.00  T3= 15595.00 *
*                                                                             *
* POWER=1/6 W=130.000  X0=  0.09000  X1=  0.00000  X2=  0.00000  X3=  0.00000 *
*                                                                             *
* ETA_J=0 ETA_W=0 ETACM=0 ETA_M=1   HBM= 20.73000  (SKYRME-FORCE  SPIN-ORBIT) *
*                                                                             *
*******************************************************************************

*******************************************************************************
*                                                                             *
* CALCULATIONS WITH ADJUSTABLE ISOSCALAR ROTATIONAL FREQUENCY VECTOR,  WHICH  *
* IN EACH ITERATION IS TURNED TO BE PARALLEL TO THE ANGULAR MOMENTUM  VECTOR  *
*                                                                             *
* DIRECTION OF THE ROTATIONAL FREQUENCY VECTOR THAT IS GIVEN BELOW  WILL  BE  *
* USED ONLY IN THE FIRST ITERATION, AND LATER WILL BE IGNORED                 *
*                                                                             *
*******************************************************************************
*                                                                             *
* CALCULATIONS WITH THE TILTED-AXIS CRANKING                                  *
*                                                                             *
* FOR THE ISOSCALAR ROTATIONAL FREQUENCIES OF:                                *
*                                                                             *
* OMEGAX = 0.144338  OMEGAY = 0.144338  OMEGAZ = 0.144338   OMEGA = 0.250000  *
*                                                                             *
*******************************************************************************
*                                                                             *
*  PARITY CONFIGURATIONS:                                                     *
*                                                                             *
*                V A C U U M        P A R T I C L E S         H O L E S       *
*                ===========        =================        ===========      *
*                ( + ) ( - )           ( + ) ( - )           ( + ) ( - )      *
*                                                                             *
*  NEUTRONS:      38    37               0     0               0     0        *
*  PROTONS :      30    27               0     0               0     0        *
*                                                                             *
*******************************************************************************

*******************************************************************************
*                                                                             *
* CONVERGENCE REPORT                                                          *
*                                                                             *
*******************************************************************************
*                                                                             *
* ITER     ENERGY     STABILITY    Q20    GAMMA   SPIN  OMEGA   ANGLE   EPAIR *
*                                                                             *
*  96  -1093.673718   -0.232831   6.890   45.36  11.28  0.250  13.308    0.00 *
*  97  -1093.850272    0.025915   6.876   45.40  11.40  0.250   8.286    0.00 *
*  98  -1093.854682    0.044356   6.863   45.43  11.59  0.250   4.645    0.00 *
*  99  -1093.844776    0.041488   6.852   45.46  11.71  0.250   2.825    0.00 *
*  100 -1093.832812    0.036000   6.843   45.49  11.79  0.250   1.773    0.00 *
*  101 -1093.823120    0.030728   6.834   45.51  11.85  0.250   1.207    0.00 *
*  102 -1093.815613    0.026215   6.827   45.52  11.89  0.250   0.857    0.00 *
*  103 -1093.810028    0.022473   6.821   45.54  11.92  0.250   0.637    0.00 *
*  179 -1093.792431    1.31E-06   6.780   45.62  12.00  0.250 1.7E-06    0.00 *
*  180 -1093.792431    1.15E-06   6.780   45.62  12.00  0.250 1.5E-06    0.00 *
*  181 -1093.792431    1.01E-06   6.780   45.62  12.00  0.250 8.5E-07    0.00 *
*  182 -1093.792431    8.94E-07   6.780   45.62  12.00  0.250 1.5E-06    0.00 *
*  183 -1093.792431    7.88E-07   6.780   45.62  12.00  0.250 8.5E-07    0.00 *
*  184 -1093.792431    6.95E-07   6.780   45.62  12.00  0.250 1.5E-06    0.00 *
*  185 -1093.792431    6.13E-07   6.780   45.62  12.00  0.250 8.5E-07    0.00 *
*  186 -1093.792431    5.40E-07   6.780   45.62  12.00  0.250   0.000    0.00 *
*                                                                             *
*******************************************************************************

*******************************************************************************
*                                                                             *
*  SINGLE-PARTICLE PROPERTIES: HARTREE-FOCK                        NEUTRONS   *
*                                                                             *
*******************************************************************************
*                                                                             *
*  NO)   ENERGY   (P=+,P=-)   | N,nz,lz,OMEG>   <P>    <JX>    <JY>    <JZ>   *
*                                                                             *
*  71)  -10.460   (  0, 34)   | 5, 1, 4, 9/2>  -100   0.029  -0.189   2.078   *
*                                                     0.003  -0.022   0.223   *
*  72)  -10.338   ( 38,  0)   | 4, 0, 2, 3/2>   100  -0.007  -0.811  -0.436   *
*                                                     0.005   0.036   0.372   *
*  73)  -10.042   (  0, 35)   | 5, 2, 3, 7/2>  -100  -0.034  -0.579  -2.392   *
*                                                    -0.004  -0.027  -0.285   *
*  74)   -9.318   (  0, 36)   | 5, 0, 5,11/2>  -100   0.070  -0.630   5.021   *
*                                                     0.007  -0.034   0.495   *
*  75)   -9.145   (  0, 37)   | 5, 1, 4, 9/2>  -100  -0.053  -0.580  -3.765   *
*                                                    -0.006  -0.040  -0.429   *
*  76)   -8.966   ( 39,  0)   | 4, 1, 1, 1/2>   100   0.005   0.589   0.287   *
*                                                    -0.003  -0.011  -0.240   *
*  77)   -8.637   ( 40,  0)   | 4, 0, 2, 5/2>   100  -0.004  -0.152  -0.282   *
*                                                    -0.002   0.045  -0.168   *
*  78)   -8.315   ( 41,  0)   | 4, 1, 1, 1/2>   100  -0.003   0.295  -0.247   *
*                                                     0.001   0.013   0.065   *
*  79)   -8.018   (  0, 38)   | 5, 2, 1, 1/2>  -100   0.006   3.305   0.150   *
*                                                     0.001   0.332   0.034   *
*  80)   -7.731   (  0, 39)   | 5, 0, 5,11/2>  -100  -0.068  -0.541  -4.847   *
*                                                    -0.007  -0.029  -0.496   *
*                                                                             *
*******************************************************************************

*******************************************************************************
*                                                                             *
*  EULER ANGLES OF THE PRINCIPAL-AXES FRAME IN DEGREES                 TOTAL  *
*                                                                             *
*  ALPHA = -1.65924  BETA =  0.80185  GAMMA =  1.72034                        *
*                                                                             *
*******************************************************************************


*******************************************************************************
*                                                                             *
*  MULTIPOLE MOMENTS [UNITS:  (10 FERMI)^LAMBDA]                       TOTAL  *
*                                                                             *
*  REAL PART  FOR A NON-NEGATIVE PROJECTION                                   *
*  IMAGINARY PART FOR A NEGATIVE PROJECTION                                   *
*                                                                             *
*******************************************************************************
*                                                                             *
*  Q00 =132.0000  .............  .............  .............  .............  *
*                 .............  .............  .............  .............  *
*                                                                             *
*  Q10 =    ZERO  Q1+1=    ZERO  .............  .............  .............  *
*                 Q1-1=    ZERO  .............  .............  .............  *
*                                                                             *
*  Q20 =  6.7791  Q2+1=  0.0194  Q2+2=  6.9293  .............  .............  *
*                 Q2-1= -0.0022  Q2-2= -0.0147  .............  .............  *
*                                                                             *
*  Q30 =    ZERO  Q3+1=    ZERO  Q3+2=    ZERO  Q3+3=    ZERO  .............  *
*                 Q3-1=    ZERO  Q3-2=    ZERO  Q3-3=    ZERO  .............  *
*                                                                             *
*  Q40 =  0.0849  Q4+1=  0.0039  Q4+2=  0.2199  Q4+3= -0.0038  Q4+4=  0.0994  *
*                 Q4-1= -0.0101  Q4-2=-7.9E-04  Q4-3= 7.9E-04  Q4-4=-4.1E-04  *
*                                                                             *
*******************************************************************************

*******************************************************************************
*                                                                             *
*  MAGNETIC MOMENTS  [MAGNETON*FERMI^(LAMBDA-1)]                       TOTAL  *
*                                                                             *
*  REAL PART  FOR A NON-NEGATIVE PROJECTION                                   *
*  IMAGINARY PART FOR A NEGATIVE PROJECTION                                   *
*                                                                             *
*******************************************************************************
*                                                                             *
*  M10 =  0.5491  M1+1= -0.0083  .............  .............  .............  *
*                 M1-1=  2.7154  .............  .............  .............  *
*                                                                             *
*  M20 =    ZERO  M2+1=    ZERO  M2+2=    ZERO  .............  .............  *
*                 M2-1=    ZERO  M2-2=    ZERO  .............  .............  *
*                                                                             *
*  M30 = 54.9564  M3+1= -1.3218  M3+2=  3.5784  M3+3= -0.2678  .............  *
*                 M3-1= 64.2708  M3-2=  0.3102  M3-3= 64.4256  .............  *
*                                                                             *
*******************************************************************************
*                                                                             *
*  CARTESIAN COMPONENTS OF MAGNETIC DIPOLE MOMENT                      TOTAL  *
*                                                                             *
*  M1_X =   0.0241    M1_Y =   7.8594    M1_Z =   1.1237     M1 =     7.9394  *
*                                                                             *
*******************************************************************************

*******************************************************************************
*                                                                             *
*  MULTIPOLE MOMENTS [UNITS:  (10 FERMI)^LAMBDA] [INTRINSIC FRAME]     TOTAL  *
*                                                                             *
*  REAL PART  FOR A NON-NEGATIVE PROJECTION                                   *
*  IMAGINARY PART FOR A NEGATIVE PROJECTION                                   *
*                                                                             *
*******************************************************************************
*                                                                             *
*  Q00 =132.0000  .............  .............  .............  .............  *
*                 .............  .............  .............  .............  *
*                                                                             *
*  Q10 =    ZERO  Q1+1=    ZERO  .............  .............  .............  *
*                 Q1-1=    ZERO  .............  .............  .............  *
*                                                                             *
*  Q20 =  6.7799  Q2+1=    ZERO  Q2+2=  6.9289  .............  .............  *
*                 Q2-1=    ZERO  Q2-2=    ZERO  .............  .............  *
*                                                                             *
*  Q30 =    ZERO  Q3+1=    ZERO  Q3+2=    ZERO  Q3+3=    ZERO  .............  *
*                 Q3-1=    ZERO  Q3-2=    ZERO  Q3-3=    ZERO  .............  *
*                                                                             *
*  Q40 =  0.0848  Q4+1= 9.3E-09  Q4+2=  0.2200  Q4+3=-6.3E-09  Q4+4=  0.0994  *
*                 Q4-1= -0.0103  Q4-2= 6.7E-09  Q4-3= 5.7E-04  Q4-4=-1.3E-08  *
*                                                                             *
*******************************************************************************

*******************************************************************************
*                                                                             *
*  MAGNETIC MOMENTS  [MAGNETON*FERMI^(LAMBDA-1)] [INTRINSIC FRAME]     TOTAL  *
*                                                                             *
*  REAL PART  FOR A NON-NEGATIVE PROJECTION                                   *
*  IMAGINARY PART FOR A NEGATIVE PROJECTION                                   *
*                                                                             *
*******************************************************************************
*                                                                             *
*  M10 =  0.5507  M1+1= 1.4E-07  .............  .............  .............  *
*                 M1-1=  2.7152  .............  .............  .............  *
*                                                                             *
*  M20 =    ZERO  M2+1=    ZERO  M2+2=    ZERO  .............  .............  *
*                 M2-1=    ZERO  M2-2=    ZERO  .............  .............  *
*                                                                             *
*  M30 = 55.0803  M3+1=-4.0E-06  M3+2=  3.6402  M3+3= 2.3E-06  .............  *
*                 M3-1= 64.2333  M3-2= 4.5E-07  M3-3= 64.4215  .............  *
*                                                                             *
*******************************************************************************
*                                                                             *
*  CARTESIAN COMPONENTS OF MAGNETIC DIPOLE MOMENT [INTRINSIC FRAME]    TOTAL  *
*                                                                             *
*  M1_X =   0.0000    M1_Y =   7.8590    M1_Z =   1.1271     M1 =     7.9394  *
*                                                                             *
*******************************************************************************

*******************************************************************************
*                                                                             *
*  ANGULAR MOMENTA IN THE THREE CARTESIAN DIRECTIONS                          *
*                                                                             *
*******************************************************************************
*                                                                             *
*            SPIN IN X-DIRECTION   SPIN IN Y-DIRECTION   SPIN IN Z-DIRECTION  *
*            -------------------   -------------------   -------------------  *
*            INTRI  ORBIT  TOTAL   INTRI  ORBIT  TOTAL   INTRI  ORBIT  TOTAL  *
*                                                                             *
*  NEUTRONS  0.006  0.101  0.107   0.073  0.518  0.591   0.428  7.209  7.637  *
*   PROTONS  0.002  0.035  0.037   0.392  5.949  6.341   0.131  2.030  2.160  *
*  --------                                                                   *
*     TOTAL  0.008  0.136  0.144   0.466  6.466  6.932   0.559  9.238  9.797  *
*                                                                             *
*******************************************************************************
*                                                                             *
*  ROTATIONAL FREQUENCIES IN THE THREE CARTESIAN DIRECTIONS:                  *
*                                                                             *
*  OMEGAX = 0.003009  OMEGAY = 0.144390  OMEGAZ = 0.204065  OMEGA = 0.250000  *
*                                                                             *
*******************************************************************************
*                                                                             *
*  ANGLE BETWEEN ANGULAR MOMENTUM AND ANGULAR FREQUENCY VECTORS= 8.5E-07 DEG  *
*                                                                             *
*******************************************************************************
*                                                                             *
*  ANGULAR MOMENTA IN THE INTRINSIC REFERENCE FRAME                           *
*                                                                             *
*******************************************************************************
*                                                                             *
*            SPIN IN X-DIRECTION   SPIN IN Y-DIRECTION   SPIN IN Z-DIRECTION  *
*            -------------------   -------------------   -------------------  *
*            INTRI  ORBIT  TOTAL   INTRI  ORBIT  TOTAL   INTRI  ORBIT  TOTAL  *
*                                                                             *
*  NEUTRONS  0.000  0.000  0.000   0.073  0.515  0.588   0.428  7.210  7.638  *
*   PROTONS  0.000  0.000  0.000   0.392  5.948  6.340   0.131  2.032  2.163  *
*  --------                                                                   *
*     TOTAL  0.000  0.000  0.000   0.466  6.463  6.928   0.559  9.242  9.801  *
*                                                                             *
*******************************************************************************




*******************************************************************************
*                                                                             *
*                           NEUTRON  CONFIGURATIONS                           *
*                           =======================                           *
*        PAR  27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47  *
*        ---  --------------------------------------------------------------  *
*                                                                             *
*  CONF: (+)   1  1  1  1  1  1  1  1  1  1  1  1  0  0  0  0  0  0  0  0  0  *
*  VACC: (+)   1  1  1  1  1  1  1  1  1  1  1  1  0  0  0  0  0  0  0  0  0  *
*                                                                             *
*  CONF: (-)   1  1  1  1  1  1  1  1  1  1  1  0  0  0  0  0  0  0  0  0  0  *
*  VACC: (-)   1  1  1  1  1  1  1  1  1  1  1  0  0  0  0  0  0  0  0  0  0  *
*                                                                             *
*******************************************************************************
*                                                                             *
*                           PROTON   CONFIGURATIONS                           *
*                           =======================                           *
*        PAR  17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37  *
*        ---  --------------------------------------------------------------  *
*                                                                             *
*  CONF: (+)   1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  0  0  0  0  0  0  *
*  VACC: (+)   1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  0  0  0  0  0  0  *
*                                                                             *
*  CONF: (-)   1  1  1  1  1  1  1  1  1  1  1  0  0  0  0  0  0  0  0  0  0  *
*  VACC: (-)   1  1  1  1  1  1  1  1  1  1  1  0  0  0  0  0  0  0  0  0  0  *
*                                                                             *
*******************************************************************************
*                                                                             *
*                                ENERGIES (MEV)                               *
*                                                                             *
*******************************************************************************
*                                                                             *
*  KINETIC: (NEU)=  1460.491929    (PRO)=   958.114770    (TOT)=  2418.606700 *
*  SUM EPS: (NEU)= -1764.973911    (PRO)= -1047.797062    (TOT)= -2812.770974 *
*  PAIRING: (NEU)=     0.000000    (PRO)=     0.000000    (TOT)=     0.000000 *
*  P-REARR: (NEU)=     0.000000    (PRO)=     0.000000    (TOT)=     0.000000 *
*                                                                             *
*  PAIRGAP: (NEU)=     0.000000    (PRO)=     0.000000    THIS SPACE IS EMPTY *
*  E-FERMI: (NEU)=    -9.055110    (PRO)=    -4.947826    AND AWAITS  YOUR AD *
*                                                                             *
*  COULOMB: (DIR)=   458.000345    (EXC)=   -21.974411    (TOT)=   436.025934 *
*                                                                             *
*  CONSTR. (MULT)=     0.000000    SLOPE=     0.000000    CORR.=     0.000000 *
*  CONSTR. (SURF)=     0.000000    SLOPE=     0.000000    CORR.=     0.000000 *
*  CONSTR. (SPIN)=    -3.000627    SLOPE=     0.351464    CORR.=    -1.500314 *
*                                                                             *
*  REARRANGEMENT ENERGY FROM THE SKYRME DENSITY-DEPENDENT TERMS=   890.885803 *
*  ROUTHIAN  (TOTAL ENERGY PLUS MULTIPOLE AND SPIN CONSTRAINTS)= -1096.793058 *
*                                                                             *
*  SPIN-ORB (EVE)=   -82.387355    (ODD)=    -0.138618    (TOT)=   -82.525973 *
*  SKYRME:  (EVE)= -3948.363170    (ODD)=    -0.061894    (TOT)= -3948.425064 *
*                                                                             *
*  TOTAL:  (STAB)=     4.76E-07     (SP)= -1093.792430    (FUN)= -1093.792431 *
*                                                                             *
*******************************************************************************



Jacek Dobaczewski 2004-01-06