Cock Croft Walton accelerator

  • Thread starter Thread starter crx
  • Start date Start date
  • Tags Tags
    Accelerator
crx
Messages
80
Reaction score
0
Why in an linear accelerator, like the Cock Croft Walton accelerator, in which protons would strike a solid piece of boron wouldn't give up more energy than the input?
It seems to me that this situation have the least bremsstrahlung radiation loss and the highest cross section, for fusion interaction...
Thanks!
 
Physics news on Phys.org


crx said:
Why in an linear accelerator, like the Cock Croft Walton accelerator, in which protons would strike a solid piece of boron wouldn't give up more energy than the input?
It seems to me that this situation have the least bremsstrahlung radiation loss and the highest cross section, for fusion interaction...
Thanks!
Accelerators are notoriously inefficient for inducing collisions between particles. The p-11B, like other fusion reactions, has an energy-dependent cross-section, and while one can optimize the accelerator energy to optimize that reaction, there are the issues of getting an interaction and obtaining the desired reaction upon achieving the desired interaction.

The probability of the proton colliding/interacting with a B nucleus is relatively small. The if the proton collides favorably with a B-nucleus, the probability that it will produce fusion is also relatively small, and much less than the probability that it would just scatter. This is the same problem for any fusion reaction.

Certainly the fact that the boron nuclei reside atoms, i.e. they are not fully ionized, means that one does not get the brehmsstrahlung losses of the electron/nuclei interactions. But then as the proton beam and any fusion reaction occurs, the solid B target would tend to vaporize.

At present, the two approaches to fusion are considered - magnetic confinement and inertial confinment. p-B is essentially impossible with current MC configurations due largely to brehmsstrahlung and other losses (e.g. cyclotron) and the fact the Z(B)=5, which means 5 free electrons for each B-nuclei.

Inertial confinement may be an alternative, but then there is still the complication of the B atom and its 5 electrons, and the complication of borane structures. If not borane, then the target would require some layer of B and H, and perhaps alternating layers, but that has to be at cryogenic conditions (another complication).
 


When protons from a Cockroft-Walton strike a boron target, there is no bremsstrahlung. Only electrons produce bremsstrahlung at low energies. Protons striking a boron target are slowed down by ionization of the atoms (dE/dx). Occasionally the proton will react with a boron^11 nucleus and produce 3 alpha particles (helium nuclei). This reaction occurs at about 675 keV (proton incident energy). The reaction is exothermic, releasing a few MeV of kinetic energy. The isotopic abundance of boron^11 is about 80%.

The proton-boron^11 reaction is actually a (p,alpha) reaction, leaving a beryllium^8 nucleus which rapidly decays into two more alphas.
 
Toponium is a hadron which is the bound state of a valance top quark and a valance antitop quark. Oversimplified presentations often state that top quarks don't form hadrons, because they decay to bottom quarks extremely rapidly after they are created, leaving no time to form a hadron. And, the vast majority of the time, this is true. But, the lifetime of a top quark is only an average lifetime. Sometimes it decays faster and sometimes it decays slower. In the highly improbable case that...
I'm following this paper by Kitaev on SL(2,R) representations and I'm having a problem in the normalization of the continuous eigenfunctions (eqs. (67)-(70)), which satisfy \langle f_s | f_{s'} \rangle = \int_{0}^{1} \frac{2}{(1-u)^2} f_s(u)^* f_{s'}(u) \, du. \tag{67} The singular contribution of the integral arises at the endpoint u=1 of the integral, and in the limit u \to 1, the function f_s(u) takes on the form f_s(u) \approx a_s (1-u)^{1/2 + i s} + a_s^* (1-u)^{1/2 - i s}. \tag{70}...

Similar threads

Back
Top