A sophisticated coupled-channel analysis is presented that combines different processes: the channels
π
0
π
0
η
,
π
0
η
η
and
K
+
K
-
π
0
from
p
¯
p
annihilations, the P- and D-wave amplitudes of the
...π
η
and
π
η
′
systems produced in
π
-
p
scattering, and data from
π
π
-scattering reactions. Hence our analysis combines the data sets used in two independent previous analyses published by the Crystal Barrel experiment and by the JPAC group. Based on the new insights from these studies, this paper aims at a better understanding of the spin-exotic
π
1
resonances in the light-meson sector. By utilizing the K-matrix approach and realizing the analyticity via Chew-Mandelstam functions the amplitude of the spin-exotic wave can be well described by a single
π
1
pole for both systems,
π
η
and
π
η
′
. The mass and the width of the
π
1
-pole are measured to be
(
1623
±
47
-
75
+
24
)
MeV
/
c
2
and
(
455
±
88
-
175
+
144
)
MeV
.
Celotno besedilo
Dostopno za:
DOBA, IZUM, KILJ, NUK, PILJ, PNG, SAZU, SIK, UILJ, UKNU, UL, UM, UPUK
A sophisticated coupled-channel analysis is presented that combines different processes: the channels Formula omitted, Formula omitted and Formula omitted from Formula omitted annihilations, the P- ...and D-wave amplitudes of the Formula omitted and Formula omitted systems produced in Formula omitted scattering, and data from Formula omitted-scattering reactions. Hence our analysis combines the data sets used in two independent previous analyses published by the Crystal Barrel experiment and by the JPAC group. Based on the new insights from these studies, this paper aims at a better understanding of the spin-exotic Formula omitted resonances in the light-meson sector. By utilizing the K-matrix approach and realizing the analyticity via Chew-Mandelstam functions the amplitude of the spin-exotic wave can be well described by a single Formula omitted pole for both systems, Formula omitted and Formula omitted. The mass and the width of the Formula omitted-pole are measured to be Formula omitted and Formula omitted.
Celotno besedilo
Dostopno za:
DOBA, IZUM, KILJ, NUK, PILJ, PNG, SAZU, SIK, UILJ, UKNU, UL, UM, UPUK
Abstract A sophisticated coupled-channel analysis is presented that combines different processes: the channels $${\pi ^0\pi ^0\eta }$$ π 0 π 0 η , $${\pi ^0\eta \eta }$$ π 0 η η and $${K^+K^-\pi ...^0}$$ K + K - π 0 from $${{\bar{p}}p}$$ p ¯ p annihilations, the P- and D-wave amplitudes of the $$\pi \eta $$ π η and $$\pi \eta ^\prime $$ π η ′ systems produced in $$\pi ^-p$$ π - p scattering, and data from $${\pi \pi }$$ π π -scattering reactions. Hence our analysis combines the data sets used in two independent previous analyses published by the Crystal Barrel experiment and by the JPAC group. Based on the new insights from these studies, this paper aims at a better understanding of the spin-exotic $$\pi _1$$ π 1 resonances in the light-meson sector. By utilizing the K-matrix approach and realizing the analyticity via Chew-Mandelstam functions the amplitude of the spin-exotic wave can be well described by a single $$\pi _1$$ π 1 pole for both systems, $$\pi \eta $$ π η and $$\pi \eta ^\prime $$ π η ′ . The mass and the width of the $$\pi _1$$ π 1 -pole are measured to be $$(1623 \, \pm \, 47 \, ^{+24}_{-75})\, \mathrm {MeV/}c^2$$ ( 1623 ± 47 - 75 + 24 ) MeV / c 2 and $$(455 \, \pm 88 \, ^{+144}_{-175})\, \mathrm {MeV}$$ ( 455 ± 88 - 175 + 144 ) MeV .
Celotno besedilo
Dostopno za:
DOBA, IZUM, KILJ, NUK, PILJ, PNG, SAZU, SIK, UILJ, UKNU, UL, UM, UPUK
Abstract
A sophisticated coupled-channel analysis is presented that combines different processes: the channels
$${\pi ^0\pi ^0\eta }$$
π
0
π
0
η
,
$${\pi ^0\eta \eta }$$
π
0
η
η
and
$${K^+K^-\pi ...^0}$$
K
+
K
-
π
0
from
$${{\bar{p}}p}$$
p
¯
p
annihilations, the P- and D-wave amplitudes of the
$$\pi \eta $$
π
η
and
$$\pi \eta ^\prime $$
π
η
′
systems produced in
$$\pi ^-p$$
π
-
p
scattering, and data from
$${\pi \pi }$$
π
π
-scattering reactions. Hence our analysis combines the data sets used in two independent previous analyses published by the Crystal Barrel experiment and by the JPAC group. Based on the new insights from these studies, this paper aims at a better understanding of the spin-exotic
$$\pi _1$$
π
1
resonances in the light-meson sector. By utilizing the K-matrix approach and realizing the analyticity via Chew-Mandelstam functions the amplitude of the spin-exotic wave can be well described by a single
$$\pi _1$$
π
1
pole for both systems,
$$\pi \eta $$
π
η
and
$$\pi \eta ^\prime $$
π
η
′
. The mass and the width of the
$$\pi _1$$
π
1
-pole are measured to be
$$(1623 \, \pm \, 47 \, ^{+24}_{-75})\, \mathrm {MeV/}c^2$$
(
1623
±
47
-
75
+
24
)
MeV
/
c
2
and
$$(455 \, \pm 88 \, ^{+144}_{-175})\, \mathrm {MeV}$$
(
455
±
88
-
175
+
144
)
MeV
.
Celotno besedilo
Dostopno za:
DOBA, IZUM, KILJ, NUK, PILJ, PNG, SAZU, SIK, UILJ, UKNU, UL, UM, UPUK
In Thuringia and adjacent areas, the settlement development was dynamic since the last Pleniglacial. In the northern of Central Europe is observed an early onset of repopulation and a very dense ...network of Magdalenian sites compared to the surrounding areas. The region on the northern edge of the Central European highlands, which remained uninhabitated during the Last Glacial Maximum was populated again from the southeastern and southwestern refugia. The site of Gera Zoitzberg as northernmost locality with Grubgrabien shows that Thuringia was included in this early phase of the re colonization before 19,000 cal BC. Sometime younger in the dating is the nearby site Gera Schafgraben. The inventory can be compared with those of the Badegoulian, early Magdalenian and Kaovian, but do not identify them, and is addressed here as Magdalenian s.l. Whether a permanent use and habitation of the region is initiated by the people, who has stayed here, or Thuringia is uninhabited again after, is still unclear. At least with the early Central European Magdalenian of the 14th millennium cal BC begins the colonization that continues throughout the Late Glacial. Obviously, over the Magdalenian period increased the population density, which is reflected by an increasing number of sites. The basis of which was the outstanding natural environment excellently suitable for hunter gatherers. Within the "Thuringian Magdalenian province" because of differentiation to form several simultaneous groups and inventory types. Long distance connections are to be reconstructed in the northern Central European lowland, west to the Rhineland and in the Paris Basin, southwest and southeast through Bohemia to Moravia. The transition from the late Upper Palaeolithic (Magdalenian) to the Late Palaeolithic (Azilian) was a continous but rapid process as adaptation of the people to changing environmental conditions.
A new class of quadrilateral and hexahedral elements (four- and eight-noded in two and three dimensions, respectively) is presented. These elements are obtained by combining the concept of the ...equivalent parallelogram for plane problems, and the equivalent parallelepiped for three-dimensional problems, with the notion of incompatible modes. A key feature of the new elements is that integration of the element stiffness matrices is carried out using one-point integration. The use of affine-equivalent elements (parallelograms and parallelepipeds) permits a closed-form eigenvalue analysis which includes the incompatible modes, and a stabilization procedure based on the eigenvalue analysis ensures the full rank of the stiffness matrix. Numerical results for problems in elasticity and plasticity indicate equivalent or superior performance of the new elements, when compared with various elements based on enhanced strains or incompatible modes.
A sophisticated coupled-channel analysis is presented that combines different
processes: the channels $\pi^0\pi^0\eta$, $\pi^0\eta\eta$ and $K^+K^-\pi^0$
from $\bar{p}p$ annihilations, the P- and ...D-wave amplitudes of the $\pi\eta$
and $\pi\eta^\prime$ systems produced in $\pi^- p$ scattering, and data from
$\pi\pi$-scattering reactions. Hence our analysis combines the data sets used
in two independent previous analyses published by the Crystal Barrel experiment
and by the JPAC group. Based on the new insights from these studies, this paper
aims at a better understanding of the spin-exotic $\pi_1$ resonances in the
light-meson sector. By utilizing the K-matrix approach and realizing the
analyticity via Chew-Mandelstam functions the amplitude of the spin-exotic wave
can be well described by a single $\pi_1$ pole for both systems, $\pi\eta$ and
$\pi\eta^\prime$. The mass and width of the $\pi_1$-pole are measured to be
$(1623 \, \pm \, 47 \, ^{+24}_{-75}\,)\, \mathrm{MeV/c}^2$ and $(455 \, \pm \,
88 \, ^{+144}_{-175}\,)\, \mathrm{MeV}$.
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