Why there is no isotope of hydrogen with an atomic weight of four?

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Homework Help Overview

The discussion revolves around the question of why there is no isotope of hydrogen with an atomic weight of four. Participants explore the nuclear composition and stability of such an isotope, particularly focusing on the implications of isospin and internuclear forces.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the hypothetical existence of a hydrogen isotope with one proton and three neutrons, questioning its stability and the role of isospin in nuclear interactions. Some suggest examining the isospin states of nucleon combinations to understand potential instability.

Discussion Status

The discussion is ongoing, with participants sharing insights and questioning the assumptions behind the stability of hydrogen isotopes. Some guidance has been offered regarding the role of the Pauli Principle and comparisons to helium isotopes, but no consensus has been reached.

Contextual Notes

Participants note that there are no restrictions on isospins due to the Pauli Principle, raising questions about the fundamental reasons for the absence of a stable hydrogen-4 isotope.

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Homework Statement





Homework Equations


why there is no isotope of hydrogen with an atomic weight of four?


The Attempt at a Solution


i find that such an isotope would have an isotopic spin state of 1/2 |2-1> + 3/2 |1 -1>
is there a reason for this state to not exist?
 
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Do you mean hydrogen with a nucleus of 1 proton and 3 neutrons?

Tritium is a radioactive isotope of hydrogen with 1 proton and 2 neutrons. It usually decays via
<br /> H^3 -&gt; (He^3)^+ + e^- + \nu^-<br />

Perhaps <br /> H^4<br /> would be unstable due to internuclear forces.

jsc
 
yes. I want to explain why a nucleus of 1 proton and 3 neutrons does not exist by using the isospin.
so i thought i should calculate the isospin of the combination n+n, then the combination p+n and then combine the results to find the isospin of the nucleus.
i assume that i sould find an unreasonable result to explain why it doesn't exist.
Any idea?
 
There are no restrictions, other than that supplied by the Pauli Principle, on isospins of any set of protons and neutrons. Why would there be?

Why would Nature allow Helium 4, but not Hydrogen 4?
Regards,
Reilly Atkinson
 
i did my research on the subject and you are wright reilly.
thanks!
 

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