Effects of diabaticity on fusion of heavy nuclei in the dinuclear model ...

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des DNS entlang der Kernverbindungsachse berücksichtigt. Die Quasi-Spaltung- fallsprozeß von Fusionsreaktionen werden korrekt beschrieben und stimmen mit den experi- Produkte Daten überein. Es wird gezeigt, daß der Prozeß der Quasi-Spaltung einer der entscheimentellen Faktoren ist, der die vollständige Fusion schwerer Kerne behindert. denden 3
1 Introduction 6 1.1 The DNS-concept <strong>of</strong> fusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.2 Goals <strong>of</strong> the present work . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2 The diabatic two-center shell model 17 2.1General considerations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 2.2 Construction methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 3 Potentials in the diabatic TCSM 24 3.1 The diabatic potential . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.2 Results and discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 4 The potential in the mass asymmetry coordinate 41 4.1Methods <strong>of</strong> calculation <strong>of</strong> the driving potential . . . . . . . . . . . . . . . . . . . 42 4.1.1 Phenomenological method . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 4.1.2 TCSM-method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 4.1.3 Alternative microscopical method . . . . . . . . . . . . . . . . . . . . . . . 44 4.2 Results and discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 4.2.1Isotopic dependence <strong>of</strong> the driving potential . . . . . . . . . . . . . . . . . 45 4.2.2 Comparison <strong>of</strong> driving potentials calculated with different methods . . . . 52 5 The mass parameters 57 5.1Microscopical inertia . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 5.1.1 Derivation from collective response function . . . . . . . . . . . . . . . . . 58 4
Page 1: Effects of
Page 5 and 6: Chapter 1 The elements existing in
Page 7 and 8: observed the rapid fall-of<
Page 9 and 10: Figure 1-1 illustrates the compound
Page 11 and 12: smaller than the extra-extra push e
Page 13 and 14: fusion and quasi-fission processes
Page 15 and 16: In the present chapter we have pres
Page 17 and 18: higher collective velocities to rep
Page 19 and 20: 2.1 General considerations We want
Page 21 and 22: couplings. Diabatic basis states ψ
Page 23 and 24: Chapter 3 The synthesis of<
Page 25 and 26: is calculated within the TCSM using
Page 27 and 28: E adiab (MeV) n E diab (MeV) n 30 2
Page 29 and 30: E diab (MeV) n 60 55 50 45 40 100Mo
Page 31 and 32: 3-5: Diabatic potentials for the sy
Page 33 and 34: 3-7: The same as in Fig. 3-6 for th
Page 35 and 36: The estimated collective velocities
Page 37 and 38: 3-10: Diabatic contributions as a f
Page 39 and 40: effects give a justification for th
Page 41 and 42: The similarity of
Page 43 and 44: 4.1.3 Alternative microscopical met
Page 45 and 46: to the DNS concept [18, 34], cross
Page 47 and 48: U (MeV) 28 27 26 25 24 23 22 21 20
Page 49 and 50: U (MeV) 35 30 25 20 15 10 90Zr + 12
Page 51 and 52: 4-1: Fusion barriers B Table TCSM
Page 53 and 54:
U (MeV) 40 30 20 10 20 10 0 a) b) 9
Page 55 and 56:
experimental separation energy allo
Page 57 and 58:
means a neglect of
Page 59 and 60:
the case of an ind
Page 61 and 62:
single particle density matrix exte
Page 63 and 64:
following ratio in the limit <stron
Page 65 and 66:
5-1: Dependence of
Page 67 and 68:
the microscopical mass parameter <s
Page 69 and 70:
5-3: Mass parameter Mεε as a func
Page 71 and 72:
5-4: Mass parameter Mεε as a func
Page 73 and 74:
the approximate expressions (Eqs. (
Page 75 and 76:
(10 3 m fm 2) M , M λλ εε 25 20
Page 77 and 78:
(10 3 m fm 2) M εε M (10 λλ 4 m
Page 79 and 80:
~ f k (MeV -1) 0,20 0,15 0,10 0,05
Page 81 and 82:
V (MeV) 30 25 20 15 10 5 0 -5 -10 1
Page 83 and 84:
to the dependence of</stron
Page 85 and 86:
where the lifetime t 0 of</
Page 87 and 88:
6-2: a) Time-dependent dynamical po
Page 89 and 90:
Table 6-1: Quasi-fission and inner
Page 91 and 92:
6-3: Time-dependent average width <
Page 93 and 94:
Chapter 7 In the quasi-fission proc
Page 95 and 96:
The value of t0 is
Page 97 and 98:
Y Z Y A 0,10 0,08 0,06 0,04 0,02 0,
Page 99 and 100:
estimated from the difference betwe
Page 101 and 102:
elements from Z=104 to Z=112 in the
Page 103 and 104:
fission process is an important fac
Page 105 and 106:
the neck coordinate ε and
Page 107 and 108:
• The time-dependent transition b
Page 109 and 110:
Appendix A For describing nucleus-n
Page 111 and 112:
where The volume is V0 = 1 2 m0ϖ 2
Page 113 and 114:
ϕ nz(z) = ⎧ ⎪⎨ ⎪⎩ C−1
Page 115 and 116:
Appendix B The collective response
Page 117 and 118:
[1] S.G.Nilsson et al., Phys. Lett.
Page 119 and 120:
[27] N.V.Antonenko et al., in 1 st
Page 121 and 122:
[63] Yu.F.Smirnov and Yu.M.Tchuvil
Page 123 and 124:
[97] H. Hofmann et
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