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LRA emission during fission was always supposed to be an excellent tool to study the scission process. Schematic experimental setup. Position of the scission point on the potential energy of deformation. - PowerPoint PPT Presentation

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Page 1: Schematic experimental setup
Page 2: Schematic experimental setup

Schematic experimental setup

Position of the scission point on the potential energy of deformation

LRA emission during fission was always supposed to be an excellent tool to study the scission process

Page 3: Schematic experimental setup
Page 4: Schematic experimental setup

Adiabatic release: a slow thinning of the neck on both sides of the particle. Problem: simultaneous vanishing improbable; if not the nuclear forces from the other side will absorb the particle.

Page 5: Schematic experimental setup

Halpern’s sudden approximation

Page 6: Schematic experimental setup
Page 7: Schematic experimental setup
Page 8: Schematic experimental setup
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Page 11: Schematic experimental setup

Double Random Neck-Rupture

Hypothesis: during the lifetime of the neck ‘tn’, two independent ruptures occur with equal probabilities. These probabilities are uniformly distributed in space and time: they are the same at each point along the neck and at each moment of time during tn.

In addition to tn there are two other times that are important: tr (of the neck rupture) and tabs (of the neck absorption by the fragments)

Consequence: if the 2nd ruptures arrives in the interval [tr + tabs - tr] after the 1st rupture the fission is ternary.

R=T/B=const*tabs/tn

V. Rubchenya, Sov. J. Nucl. Phys. 35 (1982) 334

V. Rubchenya and S. Yavshits, Z. Phys. A329 (1988) 217

Page 12: Schematic experimental setup

Uncertainty Principle

There are different ways to express the quantum mechanical uncertainties:

1) p = h/2

E= (p /m ) p = (2E/m)1/2 h/(2) = 2.3(E)1/2/

2) E t = h/2

E = 3.3/t

[E] = MeV, [] = fm, [t] = 10-22 sec

Peculiarity: if it has any influence on the emission, we cannot get around it.

Page 13: Schematic experimental setup
Page 14: Schematic experimental setup

Important role of the spectroscopic factor ( alpha clustering)

Page 15: Schematic experimental setup

O. Serot, C. Wagemans et al., in ‘Seminar on Fission’, Pont d’Oye V (2003)

Page 16: Schematic experimental setup

Angular distribution: classical approach based on finite-size trajectory calculations

Page 17: Schematic experimental setup

Effect of the angular resolution on the distribution

Page 18: Schematic experimental setup

Unpublished data from a high angular resolution experiment using the Diogenes detector (J. Theobald, M. Mutterer, et al.)

Page 19: Schematic experimental setup

Angular distribution: quantum approach based on two-dimensional tunneling

Page 20: Schematic experimental setup

Tunneling of a s-state proton is isotropic only for a spherical nucleus; as soon as the nucleus is deformed it escapes perpendicular to the deformation axes. It is not the barrier hight that counts but the spacial distribution of the wave function

Page 21: Schematic experimental setup

Shape of the ridge for different deformations

Potential values along the ridge

Page 22: Schematic experimental setup

Square modulus of wave function

Time evolution of the angular distribution


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