Resonant Nuclear Fusion at Second Order
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929739177918464 |
|---|---|
| author | Jain, Harishyam Kumar Pankaj |
| author_facet | Jain, Harishyam Kumar Pankaj |
| contents | We study the possibility of low energy nuclear fusion assisted by a low
energy resonance. We use a simple potential model and replace
repulsive Coulomb barrier with a step potential barrier. This is convenient
since it allows us to perform analytic calculations and allows better control
on approximations. The fusion process involves a proton and another nucleus.
We first consider a process in which this transition takes place by emission
of a single photon at first order in perturbation theory. At this order we find a
very large cross section over a very narrow range of initial momenta,
corresponding to the resonance width. The cross section rapidly drops
to very small values as we move away from resonance. In any
experimental situation, the rate for this process would be negligible since
it is practically impossible to have a significant number of initial
state particles at precisely the resonant energy.
We next consider another process, which involves emission of two photons
and gets dominant contribution at second order in perturbation theory.
In this case the initial state energy is taken to be larger than the resonance
energy. We find a significant cross section, provided
the initial energy is
larger than the resonant energy.
The exponential suppression factors cancel out in this calculation.
The experimental signature for this process
is two photon emission within very narrow range of energies. One of the photon
would be emitted at low energy of order of the initial state energy and
the second would correspond to the nuclear energy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01421 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resonant Nuclear Fusion at Second Order Jain, Harishyam Kumar Pankaj Nuclear Theory We study the possibility of low energy nuclear fusion assisted by a low energy resonance. We use a simple potential model and replace repulsive Coulomb barrier with a step potential barrier. This is convenient since it allows us to perform analytic calculations and allows better control on approximations. The fusion process involves a proton and another nucleus. We first consider a process in which this transition takes place by emission of a single photon at first order in perturbation theory. At this order we find a very large cross section over a very narrow range of initial momenta, corresponding to the resonance width. The cross section rapidly drops to very small values as we move away from resonance. In any experimental situation, the rate for this process would be negligible since it is practically impossible to have a significant number of initial state particles at precisely the resonant energy. We next consider another process, which involves emission of two photons and gets dominant contribution at second order in perturbation theory. In this case the initial state energy is taken to be larger than the resonance energy. We find a significant cross section, provided the initial energy is larger than the resonant energy. The exponential suppression factors cancel out in this calculation. The experimental signature for this process is two photon emission within very narrow range of energies. One of the photon would be emitted at low energy of order of the initial state energy and the second would correspond to the nuclear energy. |
| title | Resonant Nuclear Fusion at Second Order |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2503.01421 |