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research
Study of
B
B
ˉ
∗
B\bar{B}^*
B
B
ˉ
∗
and
B
∗
B
ˉ
∗
B^*\bar{B}^*
B
∗
B
ˉ
∗
interactions in
I
=
1
I=1
I
=
1
and relationship to the
Z
b
(
10610
)
Z_b(10610)
Z
b
(
10610
)
,
Z
b
(
10650
)
Z_b(10650)
Z
b
(
10650
)
states
Authors
F. Aceti
J. M. Dias
E. Oset
Publication date
7 October 2014
Publisher
'American Physical Society (APS)'
Doi
Cite
View
on
arXiv
Abstract
We use the local hidden gauge approach in order to study the
B
B
ˉ
∗
B\bar{B}^*
B
B
ˉ
∗
and
B
∗
B
ˉ
∗
B^*\bar{B}^*
B
∗
B
ˉ
∗
interactions for isospin I=1. We show that both interactions via one light meson exchange are not allowed by OZI rule and, for that reason, we calculate the contributions due to the exchange of two pions, interacting and noninteracting among themselves, and also due to the heavy vector mesons. Then, to compare all these contributions, we use the potential related to the heavy vector exchange as an effective potential corrected by a factor which takes into account the contribution of the others light mesons exchange. In order to look for poles, this effective potential is used as the kernel of the Bethe-Salpeter equation. As a result, for the
B
B
ˉ
∗
B\bar{B}^*
B
B
ˉ
∗
interaction we find a loosely bound state with mass in the range
10587
−
10601
10587-10601
10587
−
10601
MeV, very close to the experimental value of the
Z
b
(
10610
)
Z_b(10610)
Z
b
(
10610
)
reported by Belle Collaboration. For the
B
∗
B
ˉ
∗
B^*\bar{B}^*
B
∗
B
ˉ
∗
case, we find a cusp at
10650
10650
10650
MeV for all spin
J
=
0
,
1
,
2
J=0,\,1,\,2
J
=
0
,
1
,
2
cases.Comment: 23 pages, 20 figure
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Repositori d'Objectes Digitals per a l'Ensenyament la Recerca i la Cultura
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oai:roderic.uv.es:10550/55949
Last time updated on 15/02/2017