Yukawa attributed the following characteristics to the nuclear forces
[1] Nuclear Forces :
- Since Stable Nuclei Exist, It Follows That There Must Be Certain
Forces Acting Between Their Nucleons That Bind Them Into The
Nucleus.
- These Are Called Nuclear Forces. The Nuclear Force Must Be
Strongly Attractive, In Order To Overcome The Electrostatic
Repulsion Between
Protons.
- Only Three Kinds Of Attractive Forces Can Be Conceived In The
Nucleus, Viz., Neutron-Neutron (N-N), Neutron-Proton (N-P)
And
Proton-Proton (P-P) Interactions.
- Yukawa Attributed The Following Characteristics To The Nuclear
Forces.
(1) Nuclear Forces Are Effective Only At Short Ranges.
- Nuclear Forces Are Appreciable Only When The Distance
Between Nucleons Is Of The Order Of 10^–15 m Or Less.
- The Force Vanishes For All Practical Purposes At Distances
Greater Than A Few Times 10^–15 m.
- These Distances Are Called The Action Radii Or Range Of The
Nuclear Forces.
- In The Up-To-Date Version Of The Exchange Theory Of Nuclear
Forces, It Is Supposed That Interaction Between Nucleons Is
Accomplished By The Exchange Of π -Mesons.
- The Exchange Version Of Nuclear Forces Explains Their Short
Range Action.
- Let M Be The Rest Mass Of The Î -Meson. The Rest Energy Of
The Ï€-Meson = ∆E = mc^2
- According To Heisenberg’s Uncertainty Principle, The Time
Required For Nucleons To Exchange π -Mesons Cannot Exceed
∆T, For Which ∆E ∆t ≥ (h/2)Ï€.
- The Distance That A π -Meson Can Travel Away From A Nucleon
In The Nucleus During The Time ∆ T, Even At A Velocity ≈ C, Is
Ro = (h/2Ï€)/mc = 1.2
* 10^-15 m
- This Approximately Coincides With The Value Of The Nuclear
Radius And Is Of The Order Of Magnitude Of The Nuclear Force
Range.
(2) Nuclear Forces Are Charge Independent.
- The Nuclear Forces Acting Between Two Protons, Or Between
Two Neutrons, Or Between A Proton And A Neutron, Are The
Same.
- It Follows That Nuclear Forces Are Of A Non-Electric
Nature.
(3) Nuclear Forces Are The Strongest Known Forces In
Nature.
(4) Nuclear Forces Have Saturation Property.
- Nuclear Forces Are Limited In Range. As A Result, Each Nucleon
Interacts With Only A Limited Number Of Nucleons Nearest To
It.
- This Effect Is Referred To As The Saturation Of Nuclear
Forces.
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