1. On Condensation Force of TSC Akito Takahashi and Norio Yabuuchi High Scientific Research Laboratory Tsu-city Japan

2. Motivation EQPET/TSC model has been developed and elaborated in ICCF10,11, 12 and Asti- series Workshops. Models could explain well major experimental claims. However, open questions are remained. This work treats driving force strength for TSC squeezing motion and condensation.

3. Outline To estimate condensing force of TSC Coulomb energy of D-atom Coulomb energy of D 2 molecule Wave functions and Pauling-Wilson-type potentials Coulomb energy and condensing force of TSC

4. Feature of QM Electron Cloud b) D 2 molecule (stable): Ψ 2D =(2+2Δ) -1/2 [Ψ 100 (r A1 ) Ψ 100 (r B2 )+ Ψ 100 (r A2 ) Ψ 100 (r B1 )]Χ s ( S1,S2 ) Bohr orbit of D (H) Electron center; =(e↑ + e↓)/2 Deuteron a) D atom (stable) c) 4D/TSC (life time about 60 fs) R B = 53 pm Bosonized electron Center torus for (e↑ + e↓) 73 pm Orbit of Bosonized Electron coupling For (e↑ + e↓) │rΨ 100 │ 2 A B

5. I: D(H)-atom 1S-wave function System Coulomb Energy With r = Bohr radius (52.9 pm), we get

6. D(H)-atom-II Total system energy is given by Hamiltonian integral: Kinetic energyCoulomb energy

7. Adiabatic Potential for Molecule dde* r0 b0 dde* ground state -V 0 0r Bare Coulomb Potential Screen Energy V s (r) Strong F. (~5fm) e*: bosonized-electrons or heavy-fermion V smin R dd (gs)

8. Comparison of dde* potentials Arrow: b 0 value

9. Parameters of dde* potentials e*(m, Z)V SMIN (eV) b 0 (pm)R dd (gs) (pm) (1, 1); Normal electron - 15.4 40 101 (1, 1)x2; D 2 - 37.8 20 73 (2, 2); Cooper pair - 259.0 4 33.8 (4, 4); Quadruplet e - 2,460 0.36 15.1 Trapping Depth Ground State

10. Classical Model of D 2 Molecule Attractive Potential: (-e 2 /R de ) x 4 with a B = 52.9 pm Repulsive Potential: (e 2 /R dd ) + (e 2 /R ee ) Electrons rotate around d-d axis d-d axis +d R dd =73 pm -e Electron torus R de =a B

11. D 2 molecule-I System wave function: System Energy at ground state System Coulomb Energy Electron Kinetic E 16.25 eV per e

12. Wave Function for 4D/TSC (t=0) Ψ 4D ~a1 [Ψ 100 (r A1 ) Ψ 100 (r B2 ) + Ψ 100 (r A2 ) Ψ 100 (r B1 )]X s ( S1,S2 ) +a2 [Ψ 100 (r A1 ) Ψ 100 (r D4 ) + Ψ 100 (r A4 ) Ψ 100 (r D1 )]X s ( S1,S4 ) +a3 [Ψ 100 (r A2 ) Ψ 100 (r C4 ) + Ψ 100 (r A4 ) Ψ 100 (r C2 )]X s ( S2,S4 ) +a4 [Ψ 100 (r B1 ) Ψ 100 (r D3 ) + Ψ 100 (r B3 ) Ψ 100 (r D1 )]X s ( S1,S3 ) +a5 [Ψ 100 (r B2 ) Ψ 100 (r C3 ) + Ψ 100 (r B3 ) Ψ 100 (r C2 )]X s ( S2,S3 ) +a6 [Ψ 100 (r C3 ) Ψ 100 (r D4 ) + Ψ 100 (r C4 ) Ψ 100 (r D3 )]X s ( S3,S4 ) 6-Bonds of “Bosonozed” electron-pairs (e↑+ e↓), which forms Regular Tetrahedron 4-Electron-Centers at Vertexes of Regular Tetrahedron u 1s1 (r) = Ψ 100 (r) = (1/π) 1/2 (1/a B ) 3/2 exp(-r/a B )

13. Feature of QM Electron Cloud b) D 2 molecule (stable): Ψ 2D =(2+2Δ) -1/2 [Ψ 100 (r A1 ) Ψ 100 (r B2 )+ Ψ 100 (r A2 ) Ψ 100 (r B1 )]Χ s ( S1,S2 ) Bohr orbit of D (H) Electron center; =(e↑ + e↓)/2 Deuteron a) D atom (stable) c) 4D/TSC (life time about 60 fs) R B = 53 pm Bosonized electron Center torus for (e↑ + e↓) 73 pm Orbit of Bosonized Electron coupling For (e↑ + e↓) │rΨ 100 │ 2 A B

14. Classical View of Tetrahedral Sym. Condensation Transient Combination of Two D2 Molecules (upper and lower) Squeezing only from O-Sites to T-site 3-dimension Frozen State for 4d+s and 4e-s Quadruplet e* (4,4) Formation of Electrons around T-site d+d+ d+d+ d+d+ d+d+ e- Orthogonal Coupling of Two D 2 Molecule makes Miracle !

15. + a) TSC b) Electron tetrahedron c) Deuteron tetrahedron 12 Attractive Coulomb forces Between d-e pairs on 6 surfaces And 4 Attractive Forces between 4 diagonal d-e pairs 6 repulsive Coulomb Forces Between electrons 6 repulsive Coulomb Forces Between deuterons

16. Coulomb Energy of TSC System Coulomb Energy In keV unit with R in pm unit

17. Condensing Force of TSC Condensing force In keV/pm unit with R in pm unit

19. Condensation Force of TSC The smaller the d-e (or d-d) distance, the larger the system Negative Coulomb Energy (Binding Energy) The smaller the d-e (or d-d) distance, the Larger the TSC Condensation Force TSC shrinks into Small Charge-Neutral Entity until when charge neutrality is broken in getting into strong force range

20. Coulomb Energy of TSC At R de = 11 pm, Ec = - 0.9 keV At R dd = 15 pm (Rde = 11 pm), V smin = - 2.46 keV for dde*(4,4) Bosonization of paired electrons makes Trapping deeper (larger condensing force)

21. Electron 15 fm Deuteron 4 He 4r e = 4x2.8 fm p or d Electron d+d+ d+d+ d+d+ d+d+ e- 3) 8 Be* formation 4) Break up 2) Minimum TSC 1) TSC forms

22. Conclusions Coulomb energy and condensing force was estimated By Platonic symmetry in TSC formation, system Coulomb energy becomes very large as decrease of d-e distance, by the help of charge-neutrality and un-balance of attractive and repulsive forces makes condensing force very large