I need your opignions and sugestings about the possibility to found a unified nuclear models betwwen the diferents existing nuclear models. From where we can start.
dear Naima Amrani
I think there is no one from all nuclear models can cover all the structural problems in addition to exited nuclear state and radioactivity properties in a uniform model, but the interacting boson model (IBM) or interacting boson-fermium model (IBFM) can giving a more solutions to most of these problems.
Naima,
This is the goal of my current research: begin with a phenomenological ground-state model which is interpretive, in order to learn about what characteristics the nucleus has and to what magnitude. From there, refine the model for excitation states. It should be possible to do so, since we have exactly done that for gravitational and electrodynamic systems.
Developing a unified nuclear model is not an easy task. Nuclear reactors vary based on their designs. For example, a boiling water reactor (BWR) is different from a pressurized water reactor (PWR) and so forth. However, a unified nuclear model could address the category called light water reactors (LWR) which include both BWRs and PWRs. There are some commonalities among them such as the use of water as a coolant and as a moderator and they both use 3 to 4 wt% U-235 in the fuel rods.
In summary, creating a unified nuclear model is possible but currently doesn't exist.
Hope this helps answer your question.
Professor Yehia Khalil
Yale University
USA
I have my doubts whether it is promising to formulate a "unified nuclear model". Of course, it could start with the formulation of the nucleus' Hamiltonian. But the situation in the nucleus is much more complex than the interactions of one nucleus and the electrons (i.e. in the atom), and even there you will use different approximations to solve the quantum mechanical equations.
In my view, that a semiempirical model like the liquid drop / macroscopic-microscopic model is still successful (see link) hints to the fact, that probably for a long time different nuclear models will be successful in different fields, depending on the application.
http://dx.doi.org/10.1016/j.ijms.2013.04.008
The definition and the requrements to the "unified nuclear model" are lacking from the question. What has to be modelled? Three of the four answers are related to the nuclear physics. On the other side, I join to Yehia F. Khalil's comment.
The unified mathematical model of a nuclear reactor is the neutron transport equation. It Is not suitable for practical applications in its original form.
If one needs a unified model of nuclear reactors to solve mainly engineering problems, then has to use the Monte-Carlo simulation. This is the only tool in the presentl time, which can take into account a lot of conditions. A few examples:
- complicated geometry (e. g. PWR: square lattice elements; WWER (Russian PWR): hexagonal lattice elements, these aren't convertible),
- space dependency of material composition,
- the correct description of the continuous neutron energy - xsec functions,
- space dependency of temperature (Doppler-broadaning of xsec!),
For more information study the MCNP* documentation This code is the best representation of the Monte-Carlo programs.
The use of the high order Pn-Sn approximation of the neutron transport equation leads to numerical problems (combinatoric explosion). The Monte-Carlo methods are free of this type problems. If the description of the conditions is correct, then the accuracy of the solution depends on the computing time only.
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The question is very fundamental for nuclear physics and it is a big area of research as what is done by James Lee Tracy Jr.
I join the idea that liquid drop model in its modern release (by considering some quantum efects) is the most performant one and much convenient to describe nucleus state and on other hand I think that if we look about the time-space dependency of interaction constants (which is a consistent field of fundamental physics), there is a possibility to find a unified model of both weak and strong nuclear interaction but personnaly i don't thing that will be a easy thing to formulate in regular maths...
Dear Aldo
I mean unified model for nucleus but for the nuclear reactor will be also interessting
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