Dear Satyavarapu,
What happens in the core or other levels in a star depends mostly on its size and mass. Small stars less than ½ the size of the sun can only fuse hydrogen because they do not have enough mass to generate the pressure and temperature needed to fuse helium. Stars the size of the sun can fuse hydrogen and helium, but can't fuse any larger atoms, as an example. Each time a heavier element is fused in a star it gives off less energy than the fusion of the previous next smaller atom. To say it in a different way, when you fuse helium atoms you get less energy freed up by the fusion process than you would when you fuse hydrogen atoms. You can still get some freed up energy by fusing atoms up to iron. Large stars actually do fuse iron, but they do that just before they explode in a supernova. When they fuse the iron it takes more energy to fuse it than is freed up, so the net effect is to cool the core, etc. When the core cools it cannot resist the pull of gravity, so it collapses. The end result is the supernova explosion. The fusion of iron and the lighter elements can produce elements up to about zinc by various processes. The larger elements are generally considered to be mostly made in the supernova explosions, etc.
When you say "Initial electrons, protons, neutrons and neutrinos formations are sufficient, I don't think 4 proton Helium nucleus needs to formed. I did not work-out full details yet" Are you thinking that you would be able to up shift the frequency of the 60Mev photon high enough to generate all of those particles? If you are, I believe you are wrong in that assumption. First you would not need to produce neutrons or neutrinos because those were not originally present. They were created from some of the binding energy that was freed up as part of the fusion process. To make the 4 protons and 2 electrons to restore the amount of hydrogen to space that was transformed into the helium atom (which would still be in the star) would require that a 60Mev photon would have its frequency up shifted to about 3753Mev or close to 63 times its original frequency. It would likely require a very large mass to make such a large frequency change possible. That large mass would be exerting a great pull on the photon and it would likely pull the photon into itself before it could generate that large a frequency change. If the photon did escape the inward pull, it would then be subjected to the continual pull of the large mass as it traveled away from it and that pull would then down shift the photon's frequency again back to the 60Mev it had at the start. If it was somehow converted into the protons and electrons while its frequency was still up shifted, the matter particles would lose their speed of light motion as part of that process and gain a much larger mass effect than the photon had and would, therefore, then be pulled into the large mass that had upshifted the photon. It would likely be only very large stars or black holes, etc. that would have any chance of producing that large of a frequency upshift, so the new matter particles would either be pulled into the black hole and lost or pulled into the large star and fused along with its other hydrogen. That might make the large star be able to burn longer before it consumed all of its fusion sources, but it would not spread new hydrogen back into space to make new stars. If that really worked, very large stars should be able to attract all of the photons that they emit back into themselves converting them back into protons and electrons on the way back and then continue to burn forever, but it has been established that such very large stars actually have very short lifetimes on the order of 3 Million years compared to a life of about 10 billion years for a star the size of the sun. That is a very good observational indication that it doesn't actually work the way that you desire it to work.
When you say "Good thinking, there can be other ways." What are those other ways?
Most of the heavier elements especially those up near and including uranium are generally not fused in stars as a normal part of their fusion process. Even large stars cannot generate the pressure and temperature needed to produce these heavy atoms. They are mostly produced in supernova explosions, etc. The earth is much too small in mass to generate the pressure and temperature necessary to even fuse hydrogen into helium.
There are two groups of people who I have found usually strongly desire to have the universe to have always existed and to continue to always exist. The first are those who want to believe in the natural origin to the universe and the life that is in it. This is because if they can convince people that the universe always existed it removes the need for a creator of it and if they can convince people that it has been in existence for some extremely long time it makes it easier to try to rationalize that life could have come about from random natural processes, etc. The second are those who have religious beliefs that require an eternal universe because their belief includes such things as reincarnation, etc. that would not work if the universe came to an end, so I can understand the reason for your hope. In the past I leaned toward belief in the naturalist concept, but as more information came to be understood about the complexity of the universe and about its need for a beginning and later the understanding that it was made to be temporary due to entropy, etc. and then the great complexity of the structure of living creatures began to be understood, it was just unreasonable for me to hold onto that belief in the face of all of that evidence that it all had to have been created by a very intelligent being.
Sincerely,
Paul