In reply to  Jones Beene's message of Thu, 25 Apr 2013 06:38:34 -0700:
Hi Jones,Terry,

I'll respond to both posts at the same time.
[snip]
>
>
>-----Original Message-----
>From: [email protected] 
>
>>Actually The neutron has mass slightly larger than that of a proton:
>>939.565378 MeV compared to 938.272046 MeV. Consequently, a deuteron has
>>slightly more mass than a diproton.
>
>>That is one of the many reasons why the reaction on the Sun, the one that
>>results in a deuteron is extraordinarily rare. It is basically endothermic.
>
>The mass of two protons is 2.014552933 amu.
>The mass of a deuteron is  2.01355362  amu.
>
>RVS: Note that the deuteron is actually lighter than the two protons. IOW
>this
>reaction is exothermic.
>
>Not exactly true, Robin. Once again - the deuteron does NOT form directly
>from two protons! Never. There is a required step which you are leaving out,
>where outside energy is brought in.

Both you and Terry are correct in that doing work by bringing the protons
together should add mass to the system. However even without that, the reaction
would be exothermic.
(BTW, you get that energy back again when the reaction happens).
There are two reasons the reaction is so slow.

1) It's a weak force reaction.
2) Tunneling. I have recently come to wonder whether or not tunneling can even
happen in this case. That's because particles don't tunnel unless there is a net
energy advantage in doing so, and there is none for two protons. 
So I am forced to consider the possibility that electron capture may be the sole
means by which this reaction occurs in the Sun. I don't see how physicists could
possibly measure the ratio of beta+ to electron capture reactions occurring in
the core of the Sun anyway (see e.g.
http://www.sns.ias.edu/~jnb/SNviewgraphs/NuclearFusion/nucfusion.html). (Any
electron annihilation gammas created in the core would be thermalized long
before they got to the surface.) 

Perhaps the ratio is determined from fusion experiments here on Earth, where
annihilation gammas are more readily detected? Or perhaps it's just a calculated
value? Or maybe this really is a WL reaction, where a proton is converted into a
neutron momentarily while emitting a positron, and then the neutron fuses with a
free proton in time to repay the loan before the thugs come knocking?


>
>The deuteron forms only from a diproton, which itself has formed from two
>protons PLUS added mass from outside the reactants. If that mass has not
>been added, which is the vast majority of the time, there is no reaction.
>
>IOW without added mass-energy which is brought in above the rest mass of the
>reactants, the reaction is endothermic. 
>
>With the added mass the reaction appears exothermic, but that is due to
>added mass-energy from outside the reactants. Semantics allows either
>depiction - exothermic or endothermic, depending on whether one is looking
>at protons or diprotons. Since you were looking at protons, the reaction is
>endothermic based on their rest mass.

So according to you, 2.01355362 > 2.01455293 ?????????
[snip]
Regards,

Robin van Spaandonk

http://rvanspaa.freehostia.com/project.html

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