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82 changes: 28 additions & 54 deletions Docs/source/networks.rst
Original file line number Diff line number Diff line change
Expand Up @@ -200,8 +200,14 @@ That paper discusses the sequences:
protons that are then available for :math:`\isotm{C}{12}(p,
\gamma)\isotm{N}{13}(\alpha, p)\isotm{O}{16}`.

This leaves :math:`\isotm{Ne}{21}` as an endpoint, which we connect to
the other nuclei by including :math:`\isotm{Na}{22}`.
The problem with this is that it leaves :math:`\isotm{Ne}{21}` as an
endpoint, which we connect to the other nuclei by including
:math:`\isotm{Na}{22}`.

We generally do not include it, but instead include approximations
to $\isotm{N}{14}$ from ``aprox19``, including $\isotm{N}{14}(1.5\alpha,\gamma)\isotm{Ne}{20}$
proceeding at the rate for $\isotm{N}{14}(\alpha,\gamma)\isotm{F}{18}$, and
$\isotm{O}{16}(pp,\alpha)\isotm{N}{14}$ proceeding at the rate for $\isotm{O16}(p,\gamma)\isotm{F}{17}$.

For the :math:`\isotm{C}{12} + \isotm{C}{12}`, :math:`\isotm{C}{12} +
\isotm{O}{16}`, and :math:`\isotm{O}{16} + \isotm{O}{16}` rates, we
Expand All @@ -213,30 +219,28 @@ also need to include:

* :math:`\isotm{O}{16}(\isotm{C}{12}, n)\isotm{Si}{27}(n, \gamma)\isotm{Si}{28}`

Since the neutron captures on those
intermediate nuclei are so fast, we leave those out and take the
forward rate to just be the first rate. We do not include reverse
rates for these processes.
Since the neutron captures on those intermediate nuclei are so fast,
we leave those out and take the forward rate to just be the first
rate. We do not include reverse rates for these processes.

These networks also combine some of the
:math:`A(\alpha,p)X(p,\gamma)B` links with :math:`A(\alpha,\gamma)B`,
allowing us to drop the intermediate nucleus :math:`X`. Some will
approximate $A(n,\gamma)X(n,\gamma)B$ into an effective
$A(nn,\gamma)B$ rate (double-neutron capture).

The networks are named with a descriptive name, the number of nuclei,
and the letter ``a`` if they approximate $(\alpha, p)(p,\gamma)$,
the letter ``n`` if they approximate double-neutron capture, and the
letter ``p`` if they split the protons into two groups (one for
photo-disintegration).
The networks are named with a descriptive name and the number of nuclei,
along with letters:

* ``a`` if they approximate $(\alpha, p)(p,\gamma)$,

``he-burn-18a``
---------------
* ``n`` if they approximate double-neutron capture

.. note::
* ``p`` if they split the protons into two groups (one for photo-disintegration).

This network was previously called ``subch_base``.

``he-burn-19a``
---------------

This is the simplest network and is similar to ``aprox13``, but includes
a better description of $\isotm{C}{12}$ and $\isotm{O}{16}$ burning, as
Expand All @@ -248,10 +252,8 @@ It has the following features / simplifications:
$\isotm{V}{47}$, $\isotm{Mn}{51}$, and $\isotm{Co}{55}$ are approximated
out of the $(\alpha, p)(p, \gamma)$ links.

* The nuclei :math:`\isotm{N}{14}`, :math:`\isotm{F}{18}`,
:math:`\isotm{Ne}{21}`, and :math:`\isotm{Na}{22}` are not included.
This means that we do not capture the :math:`\isotm{N}{14}(\alpha,
\gamma)\isotm{F}{18}(\alpha, p)\isotm{Ne}{21}` rate sequence.
* The nuclei :math:`\isotm{N}{14}` is present with simple links to $\isotm{Ne}{20}$
and $\isotm{O}{16}$.

* The reverse rates of :math:`\isotm{C}{12}+\isotm{C}{12}`,
:math:`\isotm{C}{12}+\isotm{O}{16}`, :math:`\isotm{O}{16}+\isotm{O}{16}` are
Expand All @@ -264,11 +266,11 @@ It has the following features / simplifications:
:math:`\isotm{P}{31}` are removed, since they're not in the
original aprox13 network.

Overall, there are 18 nuclei and 85 rates.
Overall, there are 19 nuclei and 92 rates.

The network appears as:

.. figure:: ../../networks/he-burn/he-burn-18a/he-burn-18a.png
.. figure:: ../../networks/he-burn/he-burn-19a/he-burn-19a.png
:align: center

The nuclei in gray are those that have been approximated about, but the links
Expand All @@ -289,58 +291,30 @@ Together, these parameters allow us to turn off the sequence
:math:`\isotm{C}{12}(p,\gamma)\isotm{N}{13}(\alpha, p)\isotm{O}{16}` that
acts as a bypass for :math:`\isotm{C}{12}(\alpha, \gamma)\isotm{O}{16}`.

``he-burn-22a``
---------------

.. note::

This network was previously called ``subch_simple``.


This builds on ``he-burn-18a`` by including the
:math:`\isotm{N}{14}(\alpha, \gamma)\isotm{F}{18}(\alpha,
p)\isotm{Ne}{21}` rate sequence, which allows an enhancement to the
:math:`\isotm{C}{12}(p, \gamma)\isotm{N}{13}(\alpha, p)\isotm{O}{16}`
rate due to the additional proton release.

Overall, there are 22 nuclei and 93 rates.


.. figure:: ../../networks/he-burn/he-burn-22a/he-burn-22a.png
:align: center

.. warning:: Due to inclusion of the rate sequence,
${}^{14}\mathrm{N}(\alpha, \gamma){}^{18}\mathrm{F}(\alpha,
p){}^{21}\mathrm{Ne}$, there is an artificial end-point at
${}^{22}\mathrm{Na}$.

Like ``he-burn-18a``, there are 2 runtime parameters that can disable
the rates for the $\isotm{C}{12}(p,\gamma)\isotm{N}{13}(\alpha,
p)\isotm{O}{16}$ sequence.

``he-burn-31anp``
``he-burn-28anp``
-----------------

This builds on ``he-burn-22a`` by adding some iron-peak nuclei. It no longer
This builds on ``he-burn-19a`` by adding some iron-peak nuclei. It no longer
approximates out $\isotm{Mn}{51}$ or $\isotm{Co}{55}$, and includes approximations
to double-neutron capture. Finally, it splits the protons into two groups,
with those participating in reactions with mass numbers > 48 treated as a separate
group (for photo-disintegration reactions).

Overall, there are 31 nuclei and 137 rates, including 6 tabular weak rates.
Overall, there are 28 nuclei and 136 rates, including 6 tabular weak rates.

The iron group here resembles ``aprox21``, but has the addition of stable $\isotm{Ni}{58}$
and doesn't include the approximation to $\isotm{Cr}{56}$.

The full network appears as:

.. figure:: ../../networks/he-burn/he-burn-31anp/he-burn-31anp.png
.. figure:: ../../networks/he-burn/he-burn-28anp/he-burn-28anp.png
:align: center

and a zoom-in on the iron group with the weak rates highlighted appears
as:

.. figure:: ../../networks/he-burn/he-burn-31anp/he-burn-31anp-zoom.png
.. figure:: ../../networks/he-burn/he-burn-28anp/he-burn-28anp-zoom.png
:align: center


Expand Down
8 changes: 0 additions & 8 deletions networks/he-burn/he-burn-18a/README.md

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