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

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instead <strong>of</strong> nρ, and to multiply the basic functions with a phase factor . So the functions actually used are | nzNρlzsz >= (−1) 1 The matrix elements are presented in [40]. 2 (lz+|lz |) | nz, Nρ− |lz | 115 2 ,lz > ·|sz >. (A.18)
Appendix B The collective response function [86] can be derived by introducing a (hypothetical) external force ˆ F fext(t) and by evaluating how the deviation <strong>of</strong> < ˆ F >ω from some properly chosen static value reacts to this external field in linear order δ< ˆ F>ω= − χ coll(ω) · f ext(ω). (B.1) The collective response function can be brought to the form [86] coll(ω) = χ χ(ω) . (B.2) 1+kχ(ω) Here, χ(ω) is the Fourier transform <strong>of</strong> the response function for intrinsic motion. Its time- dependent version reads ˜ (t − s) =ϑ(t − s) χ i ¯h tr qs(Q0,T0) ρ ˆ F(s) (t), ˆF , (B.3) where ϑ(x) is the Heavyside’s function. In the expression (B.3) the time development <strong>of</strong> the field operators is defined by the same Hamiltonian ˆ H(xi,p i,Q) which appears in the density ρ qs. The coupling constant k is written in the form −k −1 =< ∂2H(xi,pi,Q) ˆ ∂Q2 >Q0,T0= ∂2 S0) E(Q, ∂Q2 + χ(ω =0)=C(0) + χ(0) (B.4) |Q0 116
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Effects of
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1 Introduction 6 1.1 The DNS-concep
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Chapter 1 The elements existing in
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observed the rapid fall-of<
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Figure 1-1 illustrates the compound
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smaller than the extra-extra push e
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fusion and quasi-fission processes
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In the present chapter we have pres
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higher collective velocities to rep
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2.1 General considerations We want
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couplings. Diabatic basis states ψ
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Chapter 3 The synthesis of<
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is calculated within the TCSM using
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E adiab (MeV) n E diab (MeV) n 30 2
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E diab (MeV) n 60 55 50 45 40 100Mo
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3-5: Diabatic potentials for the sy
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3-7: The same as in Fig. 3-6 for th
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The estimated collective velocities
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3-10: Diabatic contributions as a f
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effects give a justification for th
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The similarity of
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4.1.3 Alternative microscopical met
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to the DNS concept [18, 34], cross
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U (MeV) 28 27 26 25 24 23 22 21 20
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U (MeV) 35 30 25 20 15 10 90Zr + 12
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4-1: Fusion barriers B Table TCSM
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U (MeV) 40 30 20 10 20 10 0 a) b) 9
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experimental separation energy allo
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means a neglect of
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the case of an ind
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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: ϕ nz(z) = ⎧ ⎪⎨ ⎪⎩ C−1
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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Effects of diabaticity on fusion of heavy nuclei in the dinuclear model ...

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