Parameters in Bohr-Mottelson Collective Hamiltonian

In summary, the conversation discusses the importance of effective communication in relationships and how it can lead to misunderstandings and conflicts. The speakers also mention the need for active listening and clear communication to avoid miscommunication. They emphasize the role of empathy and understanding in resolving conflicts and maintaining healthy relationships.
  • #1
patric44
308
40
Homework Statement
how do I find the value of the mass parameter and the width of the potential well present in the Bohr-Mottelson Hamiltonian?
Relevant Equations
-hbar^2/2B
Hi all
I was reading a certain paper that involves solving the Bohr-Mottelson Hamiltonian for a 5dimential square well potential, the B-M Hamiltoian reads:
1676748237636.png

my question is just how do I calculate the mass parameter "B" for a certain nuclei, and with a 5D infinite potential well how do I get the width of the potential well?
I will appreciate any help, thanks in advance.
 
Physics news on Phys.org
  • #2
can any one suggest a paper or a book that address these points
 

FAQ: Parameters in Bohr-Mottelson Collective Hamiltonian

What is the Bohr-Mottelson Collective Hamiltonian?

The Bohr-Mottelson Collective Hamiltonian is a theoretical framework used in nuclear physics to describe the collective motion of nucleons within an atomic nucleus. It incorporates both vibrational and rotational degrees of freedom, providing a comprehensive model for understanding nuclear structure and dynamics.

What are the key parameters in the Bohr-Mottelson Collective Hamiltonian?

The key parameters in the Bohr-Mottelson Collective Hamiltonian include the mass parameters (or moments of inertia) which describe the resistance of the nucleus to deformation, the potential energy surface which defines the shape of the nucleus, and the coupling constants that link the vibrational and rotational motions.

How are the parameters of the Bohr-Mottelson Collective Hamiltonian determined?

The parameters of the Bohr-Mottelson Collective Hamiltonian are typically determined through a combination of experimental data and theoretical models. Experimental data such as energy levels, transition rates, and moments of inertia are used to fit the parameters, while theoretical models provide guidance on the functional forms and interrelations of these parameters.

What role do vibrational and rotational degrees of freedom play in the Bohr-Mottelson Collective Hamiltonian?

In the Bohr-Mottelson Collective Hamiltonian, vibrational degrees of freedom describe the oscillations of the nuclear shape around an equilibrium configuration, while rotational degrees of freedom account for the rotation of the deformed nucleus as a whole. The interplay between these degrees of freedom is crucial for accurately modeling the collective behavior of nuclei.

Why is the Bohr-Mottelson Collective Hamiltonian important in nuclear physics?

The Bohr-Mottelson Collective Hamiltonian is important in nuclear physics because it provides a unified and versatile framework for understanding a wide range of nuclear phenomena. It enables the prediction and interpretation of nuclear spectra, transition probabilities, and other observables, thereby enhancing our understanding of nuclear structure and reactions.

Similar threads

Average value of the impulse as the parameters vary
Replies
14
Views
2K
Quantum motion of a charged particle in a magnetic field
Replies
3
Views
2K
Numerically find the energy of the delta-well's bound state
Replies
4
Views
2K
Perturbed Hamiltonian Matrix for Quantum Harmonic Oscillator
Replies
1
Views
2K
Finding range of bound/non bound state energies of 1D finite
Replies
3
Views
2K
I Effective Hamiltonian to Rotational Term Values
Replies
0
Views
1K
Infinite square well doubled with time
Replies
5
Views
2K
I Effective molecular Hamiltonian and Hund cases
5
Replies
156
Views
9K
Quantum Mechanics (finding the Hamiltonian of a quantum top)
Replies
3
Views
2K
I Exploring the Spin-1 XY Model: Understanding the Hamiltonian and Its Parameters
Replies
1
Views
838

Hot Threads

Recent Insights

Back
Top