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IAS4 Codes
YN interactions NLO
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2183d3cc
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2183d3cc
authored
1 year ago
by
Nogga, Andreas
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@@ -88,15 +88,15 @@ channels $i,j$ depend on the charge parameter:
-
`charge=1`
: $i,j=1,2,3$ -- $
\L
ambda p$, $
\S
igma^{+}n$, $
\S
igma^{0} p$
-
`charge=2`
: $i,j=1$ -- $
\S
igma^{+} p$
The matrix elements can be employed in a Lippmann-Schwinger
(LS)
equation of the form
$$ T_{
\a
lpha'
\a
lpha}^{ij}(p',p) = V_{
\a
lpha'
\a
lpha}^{ij}(p',p) +
\s
um_{
\a
lpha'' k }
\i
nt_0^
\i
nfty dp''
\
V_{
\a
lpha'
\a
lpha''}^{ik}(p',p'')
\f
rac{1}{E-
\D
elta m_k -
\f
rac{{p''}^2}{2
\m
u_k} + i
\v
arepsilon } T_{
\a
lpha''
\a
lpha}^{kj}(p'',p) .$$
The matrix elements can be employed in a Lippmann-Schwinger equation of the form
$$ T_{
\a
lpha'
\a
lpha}^{ij}(p',p) = V_{
\a
lpha'
\a
lpha}^{ij}(p',p) +
\s
um_{
\a
lpha'' k }
\i
nt_0^
\i
nfty dp''
{p''}^2
\
V_{
\a
lpha'
\a
lpha''}^{ik}(p',p'')
\f
rac{1}{E-
\D
elta m_k -
\f
rac{{p''}^2}{2
\m
u_k} + i
\v
arepsilon } T_{
\a
lpha''
\a
lpha}^{kj}(p'',p) .$$
See the original publications for definitions and more details. Note that the LS equation given above
does not include any $2
\p
i$ factors. These are included in the potential matrix elements. The subroutine
provided follows exactly this convention.
## Bug reports and issues
Please file an issue at
[
https://jugit.fz-juelich.de/ias4-codes/yn-interactions-nlo/-/issues
]
if
Please file an issue at https://jugit.fz-juelich.de/ias4-codes/yn-interactions-nlo/-/issues if
the code is not working properly.
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