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EvtBlattWeisskopf.cpp
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EvtBlattWeisskopf.cpp
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/***********************************************************************
* Copyright 1998-2020 CERN for the benefit of the EvtGen authors *
* *
* This file is part of EvtGen. *
* *
* EvtGen is free software: you can redistribute it and/or modify *
* it under the terms of the GNU General Public License as published by *
* the Free Software Foundation, either version 3 of the License, or *
* (at your option) any later version. *
* *
* EvtGen is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
* GNU General Public License for more details. *
* *
* You should have received a copy of the GNU General Public License *
* along with EvtGen. If not, see <https://www.gnu.org/licenses/>. *
***********************************************************************/
#include
"EvtGenBase/EvtBlattWeisskopf.hh"
#include
"EvtGenBase/EvtPatches.hh"
#include
"EvtGenBase/EvtReport.hh"
#include
<assert.h>
#include
<iostream>
#include
<math.h>
using
std
::
endl
;
EvtBlattWeisskopf
::
EvtBlattWeisskopf
(
int
LL
,
double
R
,
double
p0
)
:
_LL
(
LL
),
_radial
(
R
),
_p0
(
p0
)
{
if
(
R
<
0
)
{
EvtGenReport
(
EVTGEN_INFO
,
"EvtGen"
)
<<
"Radius "
<<
R
<<
" negative"
<<
endl
;
assert
(
0
);
}
_radial
=
R
;
// compute formula for nominal momentum
_F0
=
compute
(
_p0
);
if
(
_F0
<=
0
)
{
EvtGenReport
(
EVTGEN_INFO
,
"EvtGen"
)
<<
"Invalid nominal form factor computed "
<<
_F0
<<
endl
;
assert
(
0
);
}
}
EvtBlattWeisskopf
::
EvtBlattWeisskopf
(
const
EvtBlattWeisskopf
&
other
)
:
_LL
(
other
.
_LL
),
_radial
(
other
.
_radial
),
_p0
(
other
.
_p0
),
_F0
(
other
.
_F0
)
{
}
double
EvtBlattWeisskopf
::
operator
()(
double
p
)
const
{
double
ret
=
compute
(
p
)
/
_F0
;
// EvtGenReport(EVTGEN_INFO,"EvtGen") << p << " " << _p0 << " " << _F0 << " " << _LL << " " << _radial << " " << ret << endl;
return
ret
;
}
// Blatt-Weisskopf form factors
// see e.g. hep-ex/0011065
// Dalitz Analysis of the Decay D0->K-pi+pi0 (CLEO)
//
// p - momentum of either daugher in the meson rest frame,
// the mass of the meson is used
// pAB - momentum of either daughter in the candidate rest frame
// the mass of the candidate is used
// R - meson radial parameter
//
// In the CLEO paper R=5 GeV-1 for D0, R=1.5 for intermediate resonances
double
EvtBlattWeisskopf
::
compute
(
double
p
)
const
{
double
value
(
1.0
);
double
z
=
p
*
_radial
;
double
zSq
=
z
*
z
;
if
(
_LL
==
0
)
{
value
=
1.0
;
}
else
if
(
_LL
==
1
)
{
value
=
sqrt
(
1.0
/
(
1.0
+
zSq
)
);
}
else
if
(
_LL
==
2
)
{
value
=
sqrt
(
1.0
/
(
zSq
*
(
zSq
+
3.0
)
+
9.0
)
);
}
else
if
(
_LL
==
3
)
{
double
denom
=
zSq
*
(
zSq
*
(
zSq
+
6.0
)
+
45.0
)
+
225.0
;
value
=
sqrt
(
1.0
/
denom
);
}
else
if
(
_LL
==
4
)
{
double
denom
=
zSq
*
(
zSq
*
(
zSq
*
(
zSq
+
10.0
)
+
135.0
)
+
1575.0
)
+
11025.0
;
value
=
sqrt
(
1.0
/
denom
);
}
else
if
(
_LL
==
5
)
{
double
denom
=
zSq
*
(
zSq
*
(
zSq
*
(
zSq
*
(
zSq
+
15.0
)
+
315.0
)
+
6300.0
)
+
99225.0
)
+
893025.0
;
value
=
sqrt
(
1.0
/
denom
);
}
return
value
;
}
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