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J. Bahador Rezaabadi, M. Sharafzadeh and F. Rahimi / International Journal of Engineering
Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp.961-964
961 | P a g e
Study of the Spin Structure, (Ayrast States), the Induced Fission
Reactions of Heavy Ions,  PoYbMeVsi 204
84
176
70
28
)145(
Fission
1
J. Bahador Rezaabadi, 1
M. Sharafzadeh and 2
F. Rahimi
1
Physics Department, Payame Noor University, Tehran, Iran
2
Physics Department, Ferdowsi University of Mashhad, Mashhad, Iran
Abstract
Search our experiments Yvrvgam group
2, in Strasbourg, France, could be extracted from
induced fission of compound nuclei Po204
84 , which
dealThe heavy ions, is created, we examine the
response of the ion Si28
beam with energy 145
MeV accelerated by the accelerator Vivitron, we
studied the bombardment of Yb176
70
. The accelerator
at the Nuclear Research Centre (CRN) in
Krvnvnbvrg, is on the outskirts of Strasbourg.
);()( NbTcPoYbMeVsi  204
84
176
70
28
145 . In this
study, the observed spin structures (Ayrast
structure) has been studied in Tc101
cells.
Keywords-: Fission induced structure Ayrast
(yrast), Rorty particle kinematics moment of inertia,
alignment.
I. INTRODUCTION
Tc101
contains 43 protons in the nucleus and
therefore the half-filled shell, , and spherical core
(Z=50) is placed. The importance of individual
particles and the structure of the core excitation is
collective. In fact, the collective behavior, away from
closed shells(Z=50) , gradually becomes more
important.
Tc101
Study of the four-bar schema levels
in the nucleus determines that the form (1) are shown.
We then describe the characteristics of these tapes
and they're Nilsson levels that we have calculated and
plotted to compare Bar One (1): Tape a bar that is
also in the works Ayrast Savage et al [1] and
Dzhbkhsh and colleagues [2] have been observed. An
additional transition Yvrvgam 2 groups of 642 KeV
to 771 KeV and 757 KeV have coincided with the
transition And also have observed that Vahlsh level
2171 KeV. Also, assuming a power of 19.2by
Dzhbkhsh et al. 2401 KeV suggested aBut the
transition has not been observed 1001 KeV that is
connected to the 17.2 level.
Figure 2: Calculate and plot the individual
state levels Nilsson diagram for protons Hodder
Tc101
. (Calculated theoretically using the software
Maple).
It can be seen that the levels of I(I+1), do not
follow the law, but the state has an energy slightly
below the level of 11/2and 15/2, respectively, are
13/2 and 17/2. This structure can be observed in the
case of a spin - Parity 19/2to 2171 KeV new cases
belonging to Bar 1, among others. The assignment of
the
Figure 1: Schema levels, Tc101
new levels
have been observed are shown by gray Yvrvgam [3].
2/9g fundamental mode, )0(,2/9  RjI , is
considered a normalThe spherical shell model orbitals
circuits 2/9g , 40~Z are found in the vicinity of
the Fermi level for Orbits close to the Fermi level
from  
2/5422 to Tc101
would be possible (Figure
2). The core Tc101
in an intermediate region between
the strong coupling and the coupling is weak.
J. Bahador Rezaabadi, M. Sharafzadeh and F. Rahimi / International Journal of Engineering
Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp.961-964
962 | P a g e
Figure 2: Different levels have been proposed by
other researchers, (Dzhbkhsh et al) [1] (Savage et al)
[2], in which the band structure is 2.
The transition 552 KeV and 329 KeV appear
to be inconsistent at times, which can be caused by
forced arousal level 1499 KeV. Hmfrvdy observed
between transitions (266 KeV) and 329 KeV
Transition (

 2/112/13 or), confirming the
structure proposed by Dzhbkhsh et al. An additional
transition 627 KeV, the additional schema proposed
by Savage & Associates, has been observed. In
addition, there is a level 750 KeV in Yvrvgam 2,
which comes from 1499 KeV statesIf the strong-
coupling first Balances Tape 2 features 1I
transitions between the two levels, row, and
feature 2I the transitions in parallel with the two
transition, 1I we consider a spin 15/2 case, 1846
KeV and 17/2 for states with excitation energy 2171
KeV and 2249 KeV, we are
        
   
 
       ...11
!
!
1
...111
22
2
2
22
32222
1






KIICKIIBA
KI
KI
KIICKIIBKIIAEE
KKK
KI
K
By adjusting the rotational energy states by
the formula above for an image K= 1/2 of the spin,
we obtain the following results. Spin state with an
excitation energy of 17/2 to 2227 KeV parameters
that define the displacement energy at 2249 KeV,
rather than2171 KeV, which is 2 in the continuum
band. Alignment 2171 KeV for the Parity positive
side of the bar for the transition state 840 KeV leads
motivated, , And represents a different structure of
this mode is the mode that has two make-up Bar 2/1P
mix with other orbitals have negative Parity.
Bands 3 and 4: Modes 3 and 4 bands were first
observed by Yvrvgam. 2272 KeV levels from 1 bar
to 3 bar the door is raised, While the states of band 4
to band 1 and 2 are motivated force. A strong
similarity between schema levels of these cores and
Ru103
[4], and there are Ru105
[5]. For these two
types of nuclei, the angular distributions or linear
polarization of electromagnetic transitions are
shownWhere the low-energy transitions, similar to
the transitions 3 and 4 from the Tc101
, 1I have the
same transitions. Successive transitions connecting
the property to the state bar, 3 and 4 of the Tc101
have
also been used If you invest in an irregular feature
bands 3 and 4, with the same core strips Ru103
and
Ru105
are compared, Regular transition energy
increases. Suppose that some transitions transitions
(581 KeV, 752 KeV, and 365 KeV) 2I are very
weak intensity have been observed 4 strips of tape to
tape the number of transitions 1 and 2 are related to
the Spin and Parity of the energy levels of 2249 KeV
and 2412 KeV to control. The transition 750 KeV, the
state will create 13/2 spin-spin energy state is limited
to 2249 KeV to 17/2 because 3I is the nature of
the transitionTerm survival of the excitation energy at
2249 KeV than Hmfrvdy valves used in the
experiments, is very long and can be made Hmfrvdy
between transitions and raised in this case it was
apparent legitimate.
II. CALCULATIONS
Calculation of rotational frequency  for the
transitions between states with spin 1I and I-1 by
the following formula:
    2
2
2
2
1
1 KIKIIIX 





 (2)
   
 
   
   11
11



IIII
IEIE
IdI
IdE
I
XXX
 (3)
K and  XI respectively of the total spin on the
axis of symmetry, and rotating images.
Rorty calculate the particle:
  IXI
II
I
EE
Ee ,
11
2
 

 
(4)
Rorty calculated quasiparticle:
      

 
 refIXI
Ii
ref EI
EE
EEe ,
11
2
(5)
2
10   (6)
    2
10, refXI (7)
Nuclei with odd mass difference between the
mass of the nucleus Δ couples - couples are adjacent.
Calculate the static moment of inertia:
J. Bahador Rezaabadi, M. Sharafzadeh and F. Rahimi / International Journal of Engineering
Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp.961-964
963 | P a g e
I
iX
I
I



,)1(
 (8)
calculated from



X
X
I
dI
IdE







1
2
)1( )(2
Experimentally, we have:
 


E
I
I
1
2 2)1( 
  (9)
Calculated alignment: the alignment
(produced by the spin of nucleons from nuclei "quasi-
particles" along the axis perpendicular to the
symmetry axis) can be approximated as Subtracting
the total angular momentum and spin deformed
rotational nuclei acquired the remaining  refXI ,
        2
10,  XrefXXx IIIi
(10)
    4
1
2
0
0
2
,
4
1
2
1
8


 

dIE refXref
(11)
Core body core neighbor pair - pair near the
mass Dvrranhay region is chosen to describe its
behavior is given by Harris parameters [7].
III. RESULTS
We change the function of the frequency
bands
 1
 moment of inertia of rotational movement
with Tc101
cores couples - couple adjacent determined
and compared We've (Figure 3)., RU102
, started a
"post-mute" is attributed to the alignment of a pair of
2/11Vh [6].
Figure (3) increase the moment of inertia
movement between bands 1 and 3 to a value of about
0.35 MeV is observed  . In addition to the
core MO100
and RU102
of the bending phenomenon has
occurred with an excitation energy of about 3MeV,
Which is viewed as figure 1 of Tc101
. An increased
moment of inertia between bands 1 and 3 for
the 35/0~ is visible, which represents a
phenomenon so Khmshdr These limits are.
Compared with the behavior of stem cells couples
bands - even adjacent to a proposed arrangement
  22/11
2/9 vhg and Tc101
corresponding to 3 bar
Therefore the pair of neutrons. Alignment of pairs of
protons in the nucleus along the symmetry axis can
beDespite a poor splitting attributes explained. The
forms (4) and (5) experimental Rorty and alignment
for the four bands observed at Tc101
, 12
0 8 
 MeV
and 34
1 .20 
 MeV calculated Aymkh Harris
parameters used in theFor the calculation of group
values Yvrvgam K=5/2 for 1 and K=1/2 bar, a bar, 2
are compatible. For bands 3 and 4 assume that the
spin of nucleons and unpaired along the line and
cause a poor heart
Figure 3: Calculate and plot the moment of inertia
kinematic four-bar Tc101
and bar core foundation of
the pair - pair near MO100
and RU102
. the image of
spin on the axis of symmetry, are. Values
K= 7/2 for bands 3 and 4 are taken and the difference
in mass between nuclei Couples - Couples and the
core of a person charged with a fixed value of R 
MeV3/1 is Rorty on the experimental plot, a
characteristic important gap in the tape, one can
observe that it is contrary to the other three bands.
For bands 3 and 4, with a characteristic gap E2 forms
transitions can be observed, indicating the possibility
of weak transitions is E2 over M1 transitions.
IV. DISCUSSION
Nuclear structure observed in the Tc101
four-bar displays. Tape 1 is characterized by an
important gap, occupied by a single proton orbit
J. Bahador Rezaabadi, M. Sharafzadeh and F. Rahimi / International Journal of Engineering
Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp.961-964
964 | P a g e
angular momentum above j, 2/9g is assigned. 2/1p
state can be occupied Negative Parity of a tab view
that is strongly coupled. Two top bar polarized
excitation energy of a Parity Parity positive and the
other negative, are determined by Yvrvgam. These
bands are, respectively, the alignment of a pair of
coupling protons and 2/11vh neutrons, 2/9g , Mo100
In
the heart of the Tc101
respondents to a Negative Parity
States, are justified. Theoretical calculations are
consistent with this explanation.
REFERENCES
[1] D.G. Savage et al., Physical Review C 55
(997) pp20.
[2] H. Dejbakhsh et al., Physical Review C44
(99) pp9.
[3] F. Hoellinger et al., Eur. Phys. J. A 4,39-32
(999)
[4] H. Dejbakhsh et al., Physical Review C37
(988) pp62.
[5] F.R. Espinoza- Quinones et al., Physical
Review C 55 (997) pp2787.
[6] D.R Haennietal., Physical Review C 33
(986) pp543.
[7] G.I Harris, et al,Phys Rev.,139(1965 )
p1113.

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Fd34961964

  • 1. J. Bahador Rezaabadi, M. Sharafzadeh and F. Rahimi / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp.961-964 961 | P a g e Study of the Spin Structure, (Ayrast States), the Induced Fission Reactions of Heavy Ions,  PoYbMeVsi 204 84 176 70 28 )145( Fission 1 J. Bahador Rezaabadi, 1 M. Sharafzadeh and 2 F. Rahimi 1 Physics Department, Payame Noor University, Tehran, Iran 2 Physics Department, Ferdowsi University of Mashhad, Mashhad, Iran Abstract Search our experiments Yvrvgam group 2, in Strasbourg, France, could be extracted from induced fission of compound nuclei Po204 84 , which dealThe heavy ions, is created, we examine the response of the ion Si28 beam with energy 145 MeV accelerated by the accelerator Vivitron, we studied the bombardment of Yb176 70 . The accelerator at the Nuclear Research Centre (CRN) in Krvnvnbvrg, is on the outskirts of Strasbourg. );()( NbTcPoYbMeVsi  204 84 176 70 28 145 . In this study, the observed spin structures (Ayrast structure) has been studied in Tc101 cells. Keywords-: Fission induced structure Ayrast (yrast), Rorty particle kinematics moment of inertia, alignment. I. INTRODUCTION Tc101 contains 43 protons in the nucleus and therefore the half-filled shell, , and spherical core (Z=50) is placed. The importance of individual particles and the structure of the core excitation is collective. In fact, the collective behavior, away from closed shells(Z=50) , gradually becomes more important. Tc101 Study of the four-bar schema levels in the nucleus determines that the form (1) are shown. We then describe the characteristics of these tapes and they're Nilsson levels that we have calculated and plotted to compare Bar One (1): Tape a bar that is also in the works Ayrast Savage et al [1] and Dzhbkhsh and colleagues [2] have been observed. An additional transition Yvrvgam 2 groups of 642 KeV to 771 KeV and 757 KeV have coincided with the transition And also have observed that Vahlsh level 2171 KeV. Also, assuming a power of 19.2by Dzhbkhsh et al. 2401 KeV suggested aBut the transition has not been observed 1001 KeV that is connected to the 17.2 level. Figure 2: Calculate and plot the individual state levels Nilsson diagram for protons Hodder Tc101 . (Calculated theoretically using the software Maple). It can be seen that the levels of I(I+1), do not follow the law, but the state has an energy slightly below the level of 11/2and 15/2, respectively, are 13/2 and 17/2. This structure can be observed in the case of a spin - Parity 19/2to 2171 KeV new cases belonging to Bar 1, among others. The assignment of the Figure 1: Schema levels, Tc101 new levels have been observed are shown by gray Yvrvgam [3]. 2/9g fundamental mode, )0(,2/9  RjI , is considered a normalThe spherical shell model orbitals circuits 2/9g , 40~Z are found in the vicinity of the Fermi level for Orbits close to the Fermi level from   2/5422 to Tc101 would be possible (Figure 2). The core Tc101 in an intermediate region between the strong coupling and the coupling is weak.
  • 2. J. Bahador Rezaabadi, M. Sharafzadeh and F. Rahimi / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp.961-964 962 | P a g e Figure 2: Different levels have been proposed by other researchers, (Dzhbkhsh et al) [1] (Savage et al) [2], in which the band structure is 2. The transition 552 KeV and 329 KeV appear to be inconsistent at times, which can be caused by forced arousal level 1499 KeV. Hmfrvdy observed between transitions (266 KeV) and 329 KeV Transition (   2/112/13 or), confirming the structure proposed by Dzhbkhsh et al. An additional transition 627 KeV, the additional schema proposed by Savage & Associates, has been observed. In addition, there is a level 750 KeV in Yvrvgam 2, which comes from 1499 KeV statesIf the strong- coupling first Balances Tape 2 features 1I transitions between the two levels, row, and feature 2I the transitions in parallel with the two transition, 1I we consider a spin 15/2 case, 1846 KeV and 17/2 for states with excitation energy 2171 KeV and 2249 KeV, we are                       ...11 ! ! 1 ...111 22 2 2 22 32222 1       KIICKIIBA KI KI KIICKIIBKIIAEE KKK KI K By adjusting the rotational energy states by the formula above for an image K= 1/2 of the spin, we obtain the following results. Spin state with an excitation energy of 17/2 to 2227 KeV parameters that define the displacement energy at 2249 KeV, rather than2171 KeV, which is 2 in the continuum band. Alignment 2171 KeV for the Parity positive side of the bar for the transition state 840 KeV leads motivated, , And represents a different structure of this mode is the mode that has two make-up Bar 2/1P mix with other orbitals have negative Parity. Bands 3 and 4: Modes 3 and 4 bands were first observed by Yvrvgam. 2272 KeV levels from 1 bar to 3 bar the door is raised, While the states of band 4 to band 1 and 2 are motivated force. A strong similarity between schema levels of these cores and Ru103 [4], and there are Ru105 [5]. For these two types of nuclei, the angular distributions or linear polarization of electromagnetic transitions are shownWhere the low-energy transitions, similar to the transitions 3 and 4 from the Tc101 , 1I have the same transitions. Successive transitions connecting the property to the state bar, 3 and 4 of the Tc101 have also been used If you invest in an irregular feature bands 3 and 4, with the same core strips Ru103 and Ru105 are compared, Regular transition energy increases. Suppose that some transitions transitions (581 KeV, 752 KeV, and 365 KeV) 2I are very weak intensity have been observed 4 strips of tape to tape the number of transitions 1 and 2 are related to the Spin and Parity of the energy levels of 2249 KeV and 2412 KeV to control. The transition 750 KeV, the state will create 13/2 spin-spin energy state is limited to 2249 KeV to 17/2 because 3I is the nature of the transitionTerm survival of the excitation energy at 2249 KeV than Hmfrvdy valves used in the experiments, is very long and can be made Hmfrvdy between transitions and raised in this case it was apparent legitimate. II. CALCULATIONS Calculation of rotational frequency  for the transitions between states with spin 1I and I-1 by the following formula:     2 2 2 2 1 1 KIKIIIX        (2)              11 11    IIII IEIE IdI IdE I XXX  (3) K and  XI respectively of the total spin on the axis of symmetry, and rotating images. Rorty calculate the particle:   IXI II I EE Ee , 11 2      (4) Rorty calculated quasiparticle:            refIXI Ii ref EI EE EEe , 11 2 (5) 2 10   (6)     2 10, refXI (7) Nuclei with odd mass difference between the mass of the nucleus Δ couples - couples are adjacent. Calculate the static moment of inertia:
  • 3. J. Bahador Rezaabadi, M. Sharafzadeh and F. Rahimi / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp.961-964 963 | P a g e I iX I I    ,)1(  (8) calculated from    X X I dI IdE        1 2 )1( )(2 Experimentally, we have:     E I I 1 2 2)1(    (9) Calculated alignment: the alignment (produced by the spin of nucleons from nuclei "quasi- particles" along the axis perpendicular to the symmetry axis) can be approximated as Subtracting the total angular momentum and spin deformed rotational nuclei acquired the remaining  refXI ,         2 10,  XrefXXx IIIi (10)     4 1 2 0 0 2 , 4 1 2 1 8      dIE refXref (11) Core body core neighbor pair - pair near the mass Dvrranhay region is chosen to describe its behavior is given by Harris parameters [7]. III. RESULTS We change the function of the frequency bands  1  moment of inertia of rotational movement with Tc101 cores couples - couple adjacent determined and compared We've (Figure 3)., RU102 , started a "post-mute" is attributed to the alignment of a pair of 2/11Vh [6]. Figure (3) increase the moment of inertia movement between bands 1 and 3 to a value of about 0.35 MeV is observed  . In addition to the core MO100 and RU102 of the bending phenomenon has occurred with an excitation energy of about 3MeV, Which is viewed as figure 1 of Tc101 . An increased moment of inertia between bands 1 and 3 for the 35/0~ is visible, which represents a phenomenon so Khmshdr These limits are. Compared with the behavior of stem cells couples bands - even adjacent to a proposed arrangement   22/11 2/9 vhg and Tc101 corresponding to 3 bar Therefore the pair of neutrons. Alignment of pairs of protons in the nucleus along the symmetry axis can beDespite a poor splitting attributes explained. The forms (4) and (5) experimental Rorty and alignment for the four bands observed at Tc101 , 12 0 8   MeV and 34 1 .20   MeV calculated Aymkh Harris parameters used in theFor the calculation of group values Yvrvgam K=5/2 for 1 and K=1/2 bar, a bar, 2 are compatible. For bands 3 and 4 assume that the spin of nucleons and unpaired along the line and cause a poor heart Figure 3: Calculate and plot the moment of inertia kinematic four-bar Tc101 and bar core foundation of the pair - pair near MO100 and RU102 . the image of spin on the axis of symmetry, are. Values K= 7/2 for bands 3 and 4 are taken and the difference in mass between nuclei Couples - Couples and the core of a person charged with a fixed value of R  MeV3/1 is Rorty on the experimental plot, a characteristic important gap in the tape, one can observe that it is contrary to the other three bands. For bands 3 and 4, with a characteristic gap E2 forms transitions can be observed, indicating the possibility of weak transitions is E2 over M1 transitions. IV. DISCUSSION Nuclear structure observed in the Tc101 four-bar displays. Tape 1 is characterized by an important gap, occupied by a single proton orbit
  • 4. J. Bahador Rezaabadi, M. Sharafzadeh and F. Rahimi / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp.961-964 964 | P a g e angular momentum above j, 2/9g is assigned. 2/1p state can be occupied Negative Parity of a tab view that is strongly coupled. Two top bar polarized excitation energy of a Parity Parity positive and the other negative, are determined by Yvrvgam. These bands are, respectively, the alignment of a pair of coupling protons and 2/11vh neutrons, 2/9g , Mo100 In the heart of the Tc101 respondents to a Negative Parity States, are justified. Theoretical calculations are consistent with this explanation. REFERENCES [1] D.G. Savage et al., Physical Review C 55 (997) pp20. [2] H. Dejbakhsh et al., Physical Review C44 (99) pp9. [3] F. Hoellinger et al., Eur. Phys. J. A 4,39-32 (999) [4] H. Dejbakhsh et al., Physical Review C37 (988) pp62. [5] F.R. Espinoza- Quinones et al., Physical Review C 55 (997) pp2787. [6] D.R Haennietal., Physical Review C 33 (986) pp543. [7] G.I Harris, et al,Phys Rev.,139(1965 ) p1113.