The TOTEM collaboration at the CERN LHC has measured the differential cross-section of elastic proton–proton scattering at
s
=
8
TeV
in the squared four-momentum transfer range
0.2
GeV
2
<
|
t
|
<
...1.9
GeV
2
. This interval includes the structure with a diffractive minimum (“dip”) and a secondary maximum (“bump”) that has also been observed at all other LHC energies, where measurements were made. A detailed characterisation of this structure for
s
=
8
TeV
yields the positions,
|
t
|
dip
=
(
0.521
±
0.007
)
GeV
2
and
|
t
|
bump
=
(
0.695
±
0.026
)
GeV
2
, as well as the cross-section values,
d
σ
/
d
t
dip
=
(
15.1
±
2.5
)
μ
b
/
GeV
2
and
d
σ
/
d
t
bump
=
(
29.7
±
1.8
)
μ
b
/
GeV
2
, for the dip and the bump, respectively.
Abstract
The TOTEM collaboration at the CERN LHC has measured the differential cross-section of elastic proton–proton scattering at
$$\sqrt{s} = 8\,\mathrm{TeV}$$
s
=
8
TeV
in the squared ...four-momentum transfer range
$$0.2\,\mathrm{GeV^{2}}< |t| < 1.9\,\mathrm{GeV^{2}}$$
0.2
GeV
2
<
|
t
|
<
1.9
GeV
2
. This interval includes the structure with a diffractive minimum (“dip”) and a secondary maximum (“bump”) that has also been observed at all other LHC energies, where measurements were made. A detailed characterisation of this structure for
$$\sqrt{s} = 8\,\mathrm{TeV}$$
s
=
8
TeV
yields the positions,
$$|t|_{\mathrm{dip}} = (0.521 \pm 0.007)\,\mathrm{GeV^2}$$
|
t
|
dip
=
(
0.521
±
0.007
)
GeV
2
and
$$|t|_{\mathrm{bump}} = (0.695 \pm 0.026)\,\mathrm{GeV^2}$$
|
t
|
bump
=
(
0.695
±
0.026
)
GeV
2
, as well as the cross-section values,
$$\left. {\mathrm{d}\sigma /\mathrm{d}t}\right| _{\mathrm{dip}} = (15.1 \pm 2.5)\,\mathrm{{\mu b/GeV^2}}$$
d
σ
/
d
t
dip
=
(
15.1
±
2.5
)
μ
b
/
GeV
2
and
$$\left. {\mathrm{d}\sigma /\mathrm{d}t}\right| _{\mathrm{bump}} = (29.7 \pm 1.8)\,\mathrm{{\mu b/GeV^2}}$$
d
σ
/
d
t
bump
=
(
29.7
±
1.8
)
μ
b
/
GeV
2
, for the dip and the bump, respectively.
Abstract The TOTEM collaboration at the CERN LHC has measured the differential cross-section of elastic proton–proton scattering at $$\sqrt{s} = 8\,\mathrm{TeV}$$ s = 8 TeV in the squared ...four-momentum transfer range $$0.2\,\mathrm{GeV^{2}}< |t| < 1.9\,\mathrm{GeV^{2}}$$ 0.2 GeV 2 < | t | < 1.9 GeV 2 . This interval includes the structure with a diffractive minimum (“dip”) and a secondary maximum (“bump”) that has also been observed at all other LHC energies, where measurements were made. A detailed characterisation of this structure for $$\sqrt{s} = 8\,\mathrm{TeV}$$ s = 8 TeV yields the positions, $$|t|_{\mathrm{dip}} = (0.521 \pm 0.007)\,\mathrm{GeV^2}$$ | t | dip = ( 0.521 ± 0.007 ) GeV 2 and $$|t|_{\mathrm{bump}} = (0.695 \pm 0.026)\,\mathrm{GeV^2}$$ | t | bump = ( 0.695 ± 0.026 ) GeV 2 , as well as the cross-section values, $$\left. {\mathrm{d}\sigma /\mathrm{d}t}\right| _{\mathrm{dip}} = (15.1 \pm 2.5)\,\mathrm{{\mu b/GeV^2}}$$ d σ / d t dip = ( 15.1 ± 2.5 ) μ b / GeV 2 and $$\left. {\mathrm{d}\sigma /\mathrm{d}t}\right| _{\mathrm{bump}} = (29.7 \pm 1.8)\,\mathrm{{\mu b/GeV^2}}$$ d σ / d t bump = ( 29.7 ± 1.8 ) μ b / GeV 2 , for the dip and the bump, respectively.
The TOTEM collaboration at the CERN LHC has measured the differential
cross-section of elastic proton-proton scattering at $\sqrt{s} = 8\ {\rm TeV}$
in the squared four-momentum transfer range $0.2\ ...{\rm GeV^{2}} < |t| < 1.9\
{\rm GeV^{2}}$. This interval includes the structure with a diffractive minimum
("dip") and a secondary maximum ("bump") that has also been observed at all
other LHC energies, where measurements were made. A detailed characterisation
of this structure for $\sqrt{s} = 8\ {\rm TeV}$ yields the positions, $|t|_{\rm
dip} = (0.521 \pm 0.007)\ {\rm GeV^2}$ and $|t|_{\rm bump} = (0.695 \pm 0.026)\
{\rm GeV^2}$, as well as the cross-section values, ${{\rm d}\sigma/{\rm d}
t}_{\rm dip} = (15.1 \pm 2.5)\ {\rm{\mu b/GeV^2}}$ and ${{\rm d}\sigma/{\rm d}
t}_{\rm bump} = (29.7 \pm 1.8)\ {\rm{\mu b/GeV^2}}$, for the dip and the bump,
respectively.
The TOTEM collaboration at the CERN LHC has measured the differential cross-section of elastic proton-proton scattering at \(\sqrt{s} = 8\ {\rm TeV}\) in the squared four-momentum transfer range ...\(0.2\ {\rm GeV^{2}} < |t| < 1.9\ {\rm GeV^{2}}\). This interval includes the structure with a diffractive minimum ("dip") and a secondary maximum ("bump") that has also been observed at all other LHC energies, where measurements were made. A detailed characterisation of this structure for \(\sqrt{s} = 8\ {\rm TeV}\) yields the positions, \(|t|_{\rm dip} = (0.521 \pm 0.007)\ {\rm GeV^2}\) and \(|t|_{\rm bump} = (0.695 \pm 0.026)\ {\rm GeV^2}\), as well as the cross-section values, \({{\rm d}\sigma/{\rm d} t}_{\rm dip} = (15.1 \pm 2.5)\ {\rm{\mu b/GeV^2}}\) and \({{\rm d}\sigma/{\rm d} t}_{\rm bump} = (29.7 \pm 1.8)\ {\rm{\mu b/GeV^2}}\), for the dip and the bump, respectively.
It was established by methods of linear, non linear and multiple regression that the influence of essential forms of biogenous elements is realized mainly in the spring period and the values of ...primary production and determined by the ratio of nitrogen and phosphorus mineral forms (N min: P min). The main role of biogenous elements during the spring period was confirmed by the method of principal components these factors being related to the first principal component describing the condition of an ecosystem. In summer the role of the hydrophysical indices of gas regime and of carbonate equilibrium factors is intensified, these factors describing the condition of an ecosystem. The dynamics of the influence of ratio N:P is observed clearly during the vegetation period.
It was established by methods of linear, non linear and multiple regression that the influence of essential forms of biogenous elements is realized mainly in the spring period and the values of ...primary production and determined by the ratio of nitrogen and phosphorus mineral forms (N min: P min). The main role of biogenous elements during the spring period was confirmed by the method of principal components these factors being related to the first principal component describing the condition of an ecosystem. In summer the role of the hydrophysical indices of gas regime and of carbonate equilibrium factors is intensified, these factors describing the condition of an ecosystem. The dynamics of the influence of ratio N:P is observed clearly during the vegetation period.
