Processing math: 100%

4  π0

4.1 B64

M_{pi0}_disc_shift = χ2/dof= -nan

M_{pi0}_disc_sub_vev = 0.0426(47) , χ2/dof= 0.55755

M_{pi0}_full_sub_vev = 0.0438(49) , χ2/dof= 0.42158

M_{piOS} = 0.11989(18) , χ2/dof= 0.24541

M_{piTM} = 0.056581(39) , χ2/dof= 0.0096916

m_{pi+}-{pi0} = 0.0090(79) , χ2/dof= 0.011214

c2 [MeV4] = 5.0(1.6)e+10 , χ2/dof= 0.38725

012345−100001000200030004000500060007000
\verb|M_{pi0}_disc_shift|\verb|M_{pi0}_disc_sub_vev|\verb|M_{pi0}_full_sub_vev|\verb|M_{piOS}|\verb|M_{piTM}|\verb|m_{pi+}-{pi0}|$t [\mbox{fm}]$$m_{eff} [\mbox{MeV}]$
<r >
012345−1.6e+12−1.4e+12−1.2e+12−1e+12−0.8e+12−0.6e+12−0.4e+12−0.2e+1200.2e+12
$c_2$ [MeV$^{4}$]$t [\mbox{fm}]$$c_2 [\mbox{MeV}^4]$

<r >

4.2 C80

M_{pi0}_disc_shift = χ2/dof= -nan

M_{pi0}_disc_sub_vev = 0.0289(18) , χ2/dof= 0.70884

M_{pi0}_full_sub_vev = 0.0343(20) , χ2/dof= 0.76994

M_{piOS} = 0.08606(10) , χ2/dof= 0.64162

M_{piTM} = 0.047234(32) , χ2/dof= 0.14137

m_{pi+}-{pi0} = 0.0150(24) , χ2/dof= 0.89845

c2 [MeV4] = 7.57(96)e+10 , χ2/dof= 0.76872

012345−0.2e+400.2e+40.4e+40.6e+40.8e+41e+4
\verb|M_{pi0}_disc_shift|\verb|M_{pi0}_disc_sub_vev|\verb|M_{pi0}_full_sub_vev|\verb|M_{piOS}|\verb|M_{piTM}|\verb|m_{pi+}-{pi0}|$t [\mbox{fm}]$$m_{eff} [\mbox{MeV}]$
<r >
012345−2e+13−1.5e+13−1e+13−0.5e+130
$c_2$ [MeV$^{4}$]$t [\mbox{fm}]$$c_2 [\mbox{MeV}^4]$

<r >

4.3 D96

M_{pi0}_disc_shift = χ2/dof= -nan

M_{pi0}_disc_sub_vev = 0.0286(26) , χ2/dof= 1.02

M_{pi0}_full_sub_vev = 0.0289(26) , χ2/dof= 1.029

M_{piOS} = 0.060655(73) , χ2/dof= 0.21302

M_{piTM} = 0.040625(30) , χ2/dof= 0.048707

m_{pi+}-{pi0} = 0.0126(40) , χ2/dof= 0.71172

c2 [MeV4] = 1.46(17)e+11 , χ2/dof= 1.0989

012345−0.5e+400.5e+41e+41.5e+4
\verb|M_{pi0}_disc_shift|\verb|M_{pi0}_disc_sub_vev|\verb|M_{pi0}_full_sub_vev|\verb|M_{piOS}|\verb|M_{piTM}|\verb|m_{pi+}-{pi0}|$t [\mbox{fm}]$$m_{eff} [\mbox{MeV}]$
<r >
012345−2.5e+13−2e+13−1.5e+13−1e+13−0.5e+130
$c_2$ [MeV$^{4}$]$t [\mbox{fm}]$$c_2 [\mbox{MeV}^4]$

<r >

c2[MeV4] = 1.46(17)e+11 , χ2/dof= 1.0989

c2[MeV4]old = 4.3(1.9)e+10 , χ2/dof= 6.016

020406080100−8e+13−7e+13−6e+13−5e+13−4e+13−3e+13−2e+13−1e+130
$c_2 [MeV^{4}]$$c_2 [MeV^{4}] old$t/a$c_2 [\mbox{MeV}^4]$

<r >

4.4 c2 for diferent ensembles

0.00350.0040.00450.0050.00550.0060.00650.4e+110.6e+110.8e+111e+111.2e+111.4e+111.6e+11
$a^2 [\mbox{fm}^2]$$c_2 [\mbox{MeV}^4]$

<r >

ensemble a [fm] M+π[MeV] M0π[MeV] c2[MeV4]
B64.dat 0.07951 140.422(98) 109(12) 5.0(1.6)e+10
C80.dat 0.06816 136.745(93) 99.4(5.8) 7.57(96)e+10
D96.dat 0.05688 140.94(10) 100.2(9.0) 1.46(17)e+11