Charged and neutral kaon production in electron-positron annihilation
A model for description of electromagnetic form factors of the charged and neutral kaons in the energy region 
 √s ~ 1-2 GeV is presented. Our approach is based on extended vector-meson-dominance model. It accounts for dependence of photon-meson vertices on the invariant energy and includes...
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| Опубліковано в: : | Вопросы атомной науки и техники |
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| Дата: | 2007 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2007
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Charged and neutral kaon production in electron-positron annihilation / S.A. Ivashyn, A.Yu. Korchin // Вопросы атомной науки и техники. — 2007. — № 3. — С. 120-125. — Бібліогр.: 22 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1860086841207685120 |
|---|---|
| author | Ivashyn, S.A. Korchin, A.Yu. |
| author_facet | Ivashyn, S.A. Korchin, A.Yu. |
| citation_txt | Charged and neutral kaon production in electron-positron annihilation / S.A. Ivashyn, A.Yu. Korchin // Вопросы атомной науки и техники. — 2007. — № 3. — С. 120-125. — Бібліогр.: 22 назв. — англ. |
| collection | DSpace DC |
| container_title | Вопросы атомной науки и техники |
| description | A model for description of electromagnetic form factors of the charged and neutral kaons in the energy region 
√s ~ 1-2 GeV is presented. Our approach is based on extended vector-meson-dominance model. It accounts for dependence of photon-meson vertices on the invariant energy and includes self-energy contribution to vector-meson propagators. Interaction vertices follow from Lagrangian of Chiral Perturbation Theory (ChPT) with explicit vector-meson degrees of freedom. The form factors, calculated without fitting parameters, are in a good agreement with experiment for space-like and time-like photon momenta. In addition we have calculated contribution of the KK channel to the muon anomalous magnetic moment.
Запропоновано модель для опису електромагнітних форм-факторів зарядженого та нейтрального К-мезонiв в області √s ~ 1-2 ГеВ. Наш підхід базується на розширеній моделі домінантності векторних мезонів. Він враховує енергетичну залежність фотон-мезонних вершин та включає власно-енергетичний внесок до пропагаторів векторних мезонів. Вершини взаємодій отримані з лагранжиана кіральної теорії збурень (КТЗ) з векторними мезонами. Розраховані з лагранжиану КТЗ форм-фактори знаходяться у добрій відповідності до експериментальних даних для просторовоподібних та часоподібних імпульсів фотона. Також нами був розрахований внесок K⁺K⁻ – i K⁰K⁰–каналiв до аномального магнітного моменту мюона.
Предложена модель для описания электромагнитных форм-факторов заряженного и нейтрального К-мезонов в области √s ~ 1-2 ГэВ. Наш подход основывается на расширеной модели доминантности векторных мезонов. Он учитывает зависимость фотон-мезонных вершин от инвариантной энергии и включает собственно-энергетический вклад в пропагатор векторных мезонов. Вершины взаимодействий выведены из лагранжиана киральной теории возмущений (КТВ), включающего векторние мезоны. Вычисленные на ос-нове лагранжиана КТВ форм-факторы находятся в хорошем соответствии с экспериментальными данными для пространственно-подобных и времениподобных импульсов фотона. Также нами был рассчитан вклад – K⁺K⁻ – и K⁰K⁰–каналов в аномальный магнитный момент мюона.
|
| first_indexed | 2025-12-07T17:20:23Z |
| format | Article |
| fulltext |
CHARGED AND NEUTRAL KAON PRODUCTION IN
ELECTRON-POSITRON ANNIHILATION
S.A. Ivashyn1 and A.Yu. Korchin2
1 V.N. Karazin National University, Kharkov, Ukraine;
e-mail: ivashin.s@rambler.ru;
2National Science Center “Kharkov Institute of Physics and Technology”,
Kharkov, Ukraine;
e-mail: korchin@kipt.kharkov.ua
A model for description of electromagnetic form factors of the charged and neutral kaons in the energy region
~s 1-2 GeV is presented. Our approach is based on extended vector-meson-dominance model. It accounts for
dependence of photon-meson vertices on the invariant energy and includes self-energy contribution to vector-meson
propagators. Interaction vertices follow from Lagrangian of Chiral Perturbation Theory (ChPT) with explicit vector-
meson degrees of freedom. The form factors, calculated without fitting parameters, are in a good agreement with
experiment for space-like and time-like photon momenta. In addition we have calculated contribution of the KK
channel to the muon anomalous magnetic moment.
PACS: 12.39.Fe, 12.40.Vv, 13.40.Gp, 13.66.Bc
1. INTRODUCTION
−K mesons (kaons) are the particles with quantum
numbers )(0
2
1=)( −PJI and nonzero “strangeness”.
They have lead to discovery of interesting phenomena
related to weak interactions, such as strangeness oscilla-
tion, regeneration, and CP violation. 0K
Quark content of these particles is as follows:
sdKsuK =,= 0+ with and 1= +sstrangenes
sdKsuKK =,== 0+− with strangenes . The
charged kaon lifetime is τ . Neutral kaons
are conventially decribed by short-lived (S) and long-
lived (L) eigenstates of CP operator:
1= −s
s810−×1.2=
,100.9=:)(
2
1= 1000 sKKKS
−×+ τ
. 105.2=:)(
2
1= 800 sKKKL
−×− τ
We study electromagnetic properties of mesons
related to their interaction with one photon at different
photon invariant mass (scanning energy)
−K
s . Experi-
mental information in the time-like region
( q ) of photon momentum q comes from
cross section measurement of electron-positron annihi-
lation
22 4 Kms ≥≡
KKee →−+ :
223/2
2
2
2
2
|)(|)4(1
3
=)( qF
q
m
q
KKee K
K−→−+ πα
σ (1)
High precision measurements are performed by
CMD-2 [1] and SND Collaborations [2] in Novosibirsk
(Russia), and in Orsay (France) by use of DM1 [3] and
DM2 [4] detectors.
In the space-like region the form factors
can be measured in different ways. Kaon scattering on
atomic electrons, performed by NA7 collaboration [5],
gives information at relatively small momentum transfer
(photon momentum squared GeV 2 ). One can
reach large momentum transfer up to − GeV by
performing electron-proton scattering with kaon-
hyperon production ( ep and ep ).
These experiments are currently carried out at Jefferson
Lab in USA [6].
0<2 sq ≡
0.16<s−
3≈s
(1680)φ
2
K0+Λ→ Ke
−1=P
(1020)
(1420) '
+Σ→ e
2. MOTIVATION
Studying kaon form factors (FF’s) is a good testbed
for effective hadronic models. Let us mention a few
ones.
Chiral Perturbation Theory (ChPT) is the effective
low-energy hadronic theory, which has symmetries of
Quantum Chromodynamics (for review of ChPT see
Ref. [7]). Although one could argue on the region of
ChPT applicability, it is a appropriate approach to de-
scribe the kaon electromagnetic properties.
Vector-meson dominance (VMD) of the electro-
magnetic (EM) interaction is an old and well-developed
concept. Nevertheless it can be generalized or extended
in different ways. Studying the kaon FF’s gives oppor-
tunities to explore these extensions.
Electromagnetic interaction exhibits the so-called
quantum chiral anomaly, which is usually treated by
means of Wess, Zumino and Witten (WZW) anomalous
Lagrangian [8,9]. The inclusion of WZW-like interac-
tions in ChPT Lagrangian is not trivial and should be
tested in the observed properties of the kaons.
The aspects mentioned above are of our main inter-
est throughout this research. We would also like to
mention that there is a number of models for kaon FF in
the space-like region, for example, quark-level linear
sigma model [10], non-perturbative QCD calculations
[11] and some others.
The model developed here is closely connected with
the study of vector mesons ( J ):
(770)ρ
= ρρ '
, , , and their radial excitations
, ω and φ , and pos-
sibly some others.
(782)ω
(1450)
φ
=ω' =
PROBLEMS OF ATOMIC SCIENCE AND TECHNOLOGY. 2007, N3 (1), p. 120-125. 120
Hadronic contribution to the muon anomalous mag-
netic moment (AMM) a , which is measured
by “Muon g-2” Collaboration [12] with high precision,
includes in particular contribution due to kaon loops.
The latter can be expressed in terms of kaon electro-
magnetic FF. The kaon contribution is one of the
sources of uncertainty in theoretical prediction for
AMM [13].
2)/2(= −µµ g
3. INTERACTIONS
IN EVEN-INTRINSIC-PARITY SECTOR
The ChPT SU Lagrangian [14,15] is RL SU (3)(3) ×
..))((Tr
22
)(Tr
2
)(Tr
4
=
††
†
2
.
+++
+−
QuuuQuVF
eF
uuV
iG
UUDD
F
L
V
V
symchiral
µν
µν
νµ
µν
µ
µ
π
(2)
),(Tr
4
= ††
2
. UUFL breakingsymchiral χχπ +−
(3)
where describes the octet of pseudoscalar mesons
( )
Φ
−0=PJ
,
6/2
6/2/
6/2/
=
8
0
0
8
0
8
0
−
+−
+
Φ
−
−
++
η
ηππ
πηπ
KK
K
K
],[ QUieBUUD µµµ +∂≡ is a covariant derivative with
quark charge matrix )
3
1,
3
1,
3
2( −−≡ diag
µν
92.4=π
Q , is the
electromagnetic field, V is octet of vector mesons, the
pion weak-decay constant is F , and
µB
MeV
. The
chiral-symmetry breaking part is due to nonzero quark
masses and quark condensate
) †u(= † UDiu µ,1/2 uµ=),/2(exp uFiU πΦ≡ U
).,2,(=
0||0),,(
3
2=
2222
(2)
2
πππ
π
χ
mmmmdiag
qqmmmdiag
F
K
fSU
sdu
−
〉〈−
Expansion of (2) in powers of meson momenta (de-
rivatives) describes the following interactions
]),,[(Tr= ΦΦ∂ΦΦ µµγ QieBL
),],([Tr
2
= 2
2
QBBeL Φ−ΦΦ µ
µ
γγ
),(Tr
2
= QVFFeL V
V µν
µν
γ
),(Tr2= 2 Φ∂Φ∂ΦΦ
νµ
µν
π
V
F
GiL V
V
]).,][,([Tr
24
= 2 ΦΦΦΦ QVF
F
FeL V
V µν
µν
π
γ
(4) q =
These interactions conserve the “normality” quan-
tum number
. (5) 1)(Parity= spin−×N
4. INTERACTIONS IN ODD-INTRINSIC-
PARITY SECTOR
These interactions are proportional to Levi-Chivita
tensor ε and do not conserve “normality” (5). µναβ
WZW Lagrangian [8,9] describes interactions of
photons with pseudoscalar mesons, in particular,
;)(Tr
4
2=
32
Φ∂Φ∂Φ∂−ΦΦΦ βανµ
µναβ
π
γ ε
π
QB
F
eiL (6)
).(Tr
8
23= 2
2
2
Φ∂∂
−
Φ QBB
F
eL βανµ
µναβ
π
γγ ε
π
(7)
For interactions involving vector mesons one has
;)(Tr
2
= Φ∂∂Φ βανµ
µναβ
π
ε VV
F
g
L vvp
VV
(8)
;)(Tr4= Φ∂∂Φ βανµ
µναβ
π
γ ε QVB
F
dLV (9)
).(Tr= 3 Φ∂Φ∂Φ∂ΦΦΦ βανµ
µναβ
π
ε V
F
ihLV
(10)
A generalization of WZW anomalous term for vec-
tor and axial vector mesons [16,17] is
;)(Tr
4
=
32
Φ∂Φ∂Φ∂
−
ΦΦΦ βανµ
µναβ
π
ε
π
V
F
ig
LV
(11)
).(Tr
28
3= 2
2
Φ∂∂
−
Φ βανµ
µναβ
π
ε
π
VV
F
gLVV
(12)
Electromagnetic field is included by the substitution
. (13) 2
µµµ QB
g
eVV +→
As a result one obtains an effective γ interaction ΦV
).(Tr
4
3= 2 Φ∂∂−Φ βανµ
µναβ
π
γ ε
π
QVB
F
egLV
(14)
Table 1. Values of the EM coupling constants
couplings d h vvpg
“ideal”
values
0.034=
16
3
2π
eg
−
experiment 0.033 0.003 1.321−
0.15=
4 2π
g
1.354=
8
3
2
2
−
π
g
Thus one obtains the estimate for the coupling, and
besides coupling can be found from experiment. See
Table 1 for corresponding values.
5. KAON ELECTROMAGNETIC FORM
FACTORS
The quark electromagnetic current is
.)()(
3
1)()(
3
1)()(
3
2=)( xsxsxdxdxuxuxjem
µµµµ γγγ −−
2
(15)
The EM form factors are defined as )(qFK
),()(0|0)=(|)()( 2
2121 qFppxjpKpK Kem
µµ −≡〉〈 (16)
where the photon invariant energy squared is
, and are kaon and anti-kaon
momenta.
spp ≡+ 2
21
2 )( 21, pp
Form factor is an analytic function of q and de-
scribes both the time-like and space-like regions of
momentum transfer.
2
We calculate FF’s from (4), (6), (8), (9) and (10):
121
;)(
)(
1=)(
,,=
sA
sf
g
sF V
V
KKV
V
K
−+
+ ∑−
φωρ
Π (Im
;)(
)(
=)(
00
,,=
0 sA
sf
g
sF V
V
KKV
V
K ∑−
φωρ
Π (Im
,
)(
)( 2 sms
ssA
VV
V Π−−
≡ (17) =ΠIm
where is self-energy operator of vector meson
. The correct normalization conditions
)(sVΠ
φω,ρ,=V
0=(0)1,=(0) 0KK
FF +
(18)
are fulfilled due to gauge invariance of EM interaction.
5.1. SELF-ENERGY OPERATORS
Dressed (“exact”, or full) propagator of vector parti-
cles includes self-energy operators Π which ac-
count for many intermediate states, such as π , ωπ ,
)(sV
−+π 0
KK , ωπ for meson, etc. −+→ KK00 π ρ
The dominant contributions (see Fig. 1) are
;= )()0( ρππρρωπρρ Π+ΠΠ (19) =| (f
;2= ),(3)()0( ωπρπωωωωρπωω Π+Π+ΠΠ KK (20)
.= )( φφφ KKΠΠ (21) =|
=)( ()( ff
Imaginary part of self-energy gives rise to energy-
dependent widths of vector mesons,
. To restrict fast growth with s
of the partial widths we have to introduce cut-off FF’s
[18].
)(Im=)( 1 sms VVV Π−Γ −
Fig. 1. Loops included in self-energy of vector–mesons
5.2. ELECTROMAGNETIC VERTEX
MODIFICATION
To be consistent with the approximation for the self-
energy contributions in the previous subsection, we
include only the imaginary part of the loop contribu-
tions to the photon vector-meson vertex functions (see
Fig. 3).
In numerical calculation the following formulae are
used:
,Π= )(Im2) )()( 00 sgds vvp ρωπρρωπγ
,Π=Π )(Im)(Im )()( sges ρππρρππγ
,Π= )(Im32) )()( 00 sgds vvp ωρπωωρπγ
,Π )(Im)( )()( sges KKKK ωωωγ
,Π−=Π )(Im )2()(Im )()( sges KKKK φφφγ
. (22) Π−=Π ,, )(Im )12()(Im )3(
2
)3( shes ωπρπωωπρπγ π
These expressions are multiplied by the cut-off FF [18].
The equations for the modified EM couplings read
in terms of the loop corrections
, (23) Π−= ∑ )(Im)(1)(1 )(
)0( sesifsf Vc
c
VV γ
for , where index ,
stands for the diagrams shown in Fig. 2.
Note that . The modified couplings at
have to describe the leptonic decay widths of the
vector mesons:
φωρ ,,= 0V
)3 ρπππ −
Im )0(
Vf
2
Vm
,= πωπ 0(c π ,,KKρπ 0
)(sfV
3 ,
s =
0=
.
→Γ
=| −+ )(3
4) 222
eeV
mms V
VV πα (24)
This allows us to find the bare couplings:
.=Π−
|
∑ 22
)(42
2220
))(Im(1
)
11
VVc
cV
VVV
ms
me
ms
γ
(25)
Fig. 2. Loops for EM vertex modification
Using the particle properties [19] we obtain
,.=,.=,.= 38213060170265 )0()0()0(
φωρ fff (26)
and for arbitrary the real and imaginary parts of
are calculated from (23).
s
)(sfV
The FF of the kaon is schematically represented in
Fig. 3.
122
Fig. 3. Electromagnetic form factor of charged kaon
5.3. CONTRIBUTION FROM HIGHER
RESONANCES
Contribution from the higher resonances is
included by adding
φωρ ′,′,′
,−=∆
−=∆
′′′
′,′,′=′
′′′
′,′,′=′
∑
∑ −++
)()()(
;)()()(
000 sfgsAsF
sfgsAsF
VKKVV
V
K
VKKVV
V
K
φωρ
φωρ (27)
=
to form factors (17). The masses and widths can be
taken from [19].
If we assume the SU relation for the ratios of the
strong and EM couplings for the “primed” resonances
(see Tables 2 and 3) and use the known branching ra-
tios [19], we obtain
)3(
0.063- =ρρ ′′ −+ fg KK ,
0.021- =ωω ′′ −+ fg
KK and 0.036- =φ′−+ fKφ′
g K .
Table 2. Values of the EM coupling constants. photon –
vector meson coupling
VV Fmf ρ=
(V ) φωρ ,,= 0 0ρ ω φ
VfSU :)3( f f3 23 f−
Vf 4.97 ± 0.04 17.06 ± 0.29 -13.38 ± 0.21
Table 3. values of the vector-meson coupling
to two pseudoscalar mesons, where
)3(SU
965= ρmGg V
−
52 .=πF
+
(from decay) ππρ →
−+ ππ KK 00 KK
0ρ g
g
2
1 g
2
1
−
ω
–
g
2
1 g
2
1
φ –
g
2
1
− g
2
1
−
6. CONTRIBUTION TO ANOMALOUS
MAGNETIC MOMENT OF MUON
The contribution of KK channels to AMM of the
muon is determined via the dispersion integral [20]:
; (28) d
)()(
3
= 242
2,
s
s
sRsWa
Km
KKhad ∫
∞
π
α
µ
,d
/)(1
)(1
=)(
22
21
0
x
msxx
xx
sW
µ−+
−
∫ (29)
where is the muon mass, and is the ratio
µm )(sR
.|)(|
)
4
)(14(1
)
4
)
)=)(
2
1/2
22
3/2
2
sF
s
m
s
m
e
KKeesR
K
K
µµ
µµ
−+
→
→
−+−+
−+
2
(1
(
(
s
m
eσ
σ
− (30)
Therefore this contribution is directly expressed through
and . The values calculated in our model
are presented In Table 4.
)(sFK + )(0 sFK
Table 4. Contribution of −KK channels to anomalous
magnetic moment of the muon in units 10 -10
−+KK KK 00 total KK
KKhada ,
µ 19.06±0.57 15.64±0.44 34.01±1.01
The total hadronic contribution is [13]
.10)3.66.2(696.3= 10, −×±± radexp
LOhadaµ
(31)
It is seen that the KK channels contribute about 5% of
the total hadronic contribution.
7. RESULTS OF FORM FACTOR
CALCULATION
The FF’s calculated from (17) and (27) in the time-
like region of virtual photon momentum are shown in
Figs. 4 and 5.
Fig. 4. Neutral kaon EM form factor in the time-like
region. Data (boxes) from [3]
123
Fig. 5. Charged kaon EM form factor in the time-
like region. Data: diamonds [21], triangles[4]
In order to study influence of different ingredients
of the model presented in Section 2, where motivations
were discussed, these plots show several curves, which
can be compared to experimental data.
The solid curves (see legends in the plots) represent
a simple VMD-like model in which only , and φ
resonances are included. The meson widths are taken s-
dependent while the couplings of vector mesons to pho-
ton are independent of momentum. As known, such a
model can describe experiment only in vicinity of the
resonance.
ρ ω
)1020(φ
The long-dashed curves include in addition the mo-
mentum-dependent EM couplings (see Section 5.2).
Taking into consideration ρ’, ω’ and φ’ resonances
with momentum-dependent widths (Section 5.1), and
constant couplings , we obtain the dot-dashed curves
in figures for FF’s.
Vf
Fig. 6. Charged kaon EM form factor in the space-
like region. Data are from [5]
The short-dashed curves represent main result of the
study. These curves include momentum-dependent
widths for all intermediate states, as in (19)-(21),
“dressed” EM vertices (for the lower vector-meson
resonances, eq. (23)) and cut-off FF’s [18] in the self-
energies and EM vertices. We have not attempted to
develop the EM vertex “dressing” for the higher reso-
nances because of the present experimental uncertain-
ties in their decay rates, though our approach does ac-
count for ρ’, ω’ and φ’ contributions (as shown in (27)).
We note that the authors of [22] also obtained a
good description of the data by fixing the values of the
parameters from the fit. In our procedure of “dress-
ing” the couplings, a reasonable agreement is achieved
without need for fitting the parameters.
Vf
Finally the plot in Fig. 6 shows the charged kaon FF
in the space-like region of photon momenta. This figure
demonstrates agreement with available data [5], and a
weak sensitivity of the FF to the model ingredients.
8. CONCLUSIONS
A model for electromagnetic form factors of the
mesons in the time-like ( ) and space-like
( ) regions of the photon momentum is developed.
−K
<s
24 Kms ≥
0
Agreement with experiments on KKee →−+ annihi-
lation at 1.751= −s GeV is obtained without fitting
parameters.
Deviations from the data which appear at
GeV2>s
(1700)ρ
are probably related to higher resonances
and ω . (1650)
Form factor agrees with the data in the space-like
region at small momentum transfer − .
Results from Jefferson Lab at large momentum transfer,
which are coming soon [6], may help to discriminate
between variants of the model.
22 GeV0.16<q
Contribution of −KK channel to the anomalous
magnetic moment of the muon is calculated to be
1010)1.01±34.01(
00 −,, ×=+
−+ KKhadKKhad aa µµ (32)
and corresponds to about 5% of the total hadronic con-
tribution.
ACKNOWLEDGEMENT
We would like to thank S. Eidelman and
N. Merenkov for useful suggestions and remarks.
REFERENCES
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ЭЛЕКТРОН-ПОЗИТРОННАЯ АННИГИЛЯЦИЯ В КАОННУЮ ПАРУ В РАСШИРЕННОЙ МОДЕЛИ
ДОМИНАНТНОСТИ ВЕКТОРНЫХ МЕЗОНОВ
С.А. Ивашин, А.Ю. Корчин
Предложена модель для описания электромагнитных форм-факторов заряженного и нейтрального
К-мезонов в области ~s 1-2 ГэВ. Наш подход основывается на расширеной модели доминантности век-
торных мезонов. Он учитывает зависимость фотон-мезонных вершин от инвариантной энергии и включает
собственно-энергетический вклад в пропагатор векторных мезонов. Вершины взаимодействий выведены из
лагранжиана киральной теории возмущений (КТВ), включающего векторние мезоны. Вычисленные на ос-
нове лагранжиана КТВ форм-факторы находятся в хорошем соответствии с экспериментальными данными
для пространственно-подобных и времениподобных импульсов фотона. Также нами был рассчитан вклад
– и −+KK 00KK –каналов в аномальный магнитный момент мюона.
ЕЛЕКТРОН-ПОЗИТРОННА АНIГIЛЯЦIЯ У КАОННУ ПАРУ В РОЗШИРЕНІЙ МОДЕЛІ
ДОМІНАНТНОСТІ ВЕКТОРНИХ МЕЗОНІВ
С.А. Івашин, О.Ю. Корчин
Запропоновано модель для опису електромагнітних форм-факторів зарядженого та нейтрального
К-мезонiв в області ~s 1-2 ГеВ. Наш підхід базується на розширеній моделі домінантності векторних
мезонів. Він враховує енергетичну залежність фотон-мезонних вершин та включає власно-енергетичний
внесок до пропагаторів векторних мезонів. Вершини взаємодій отримані з лагранжиана кіральної теорії
збурень (КТЗ) з векторними мезонами. Розраховані з лагранжиану КТЗ форм-фактори знаходяться у добрій
відповідності до експериментальних даних для просторовоподібних та часоподібних імпульсів фотона.
Також нами був розрахований внесок – i −+KK 00KK –каналiв до аномального магнітного моменту мюона.
125
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| id | nasplib_isofts_kiev_ua-123456789-110939 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-6016 |
| language | English |
| last_indexed | 2025-12-07T17:20:23Z |
| publishDate | 2007 |
| publisher | Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| record_format | dspace |
| spelling | Ivashyn, S.A. Korchin, A.Yu. 2017-01-07T09:09:37Z 2017-01-07T09:09:37Z 2007 Charged and neutral kaon production in electron-positron annihilation / S.A. Ivashyn, A.Yu. Korchin // Вопросы атомной науки и техники. — 2007. — № 3. — С. 120-125. — Бібліогр.: 22 назв. — англ. 1562-6016 PACS: 12.39.Fe, 12.40.Vv, 13.40.Gp, 13.66.Bc https://nasplib.isofts.kiev.ua/handle/123456789/110939 A model for description of electromagnetic form factors of the charged and neutral kaons in the energy region 
 √s ~ 1-2 GeV is presented. Our approach is based on extended vector-meson-dominance model. It accounts for dependence of photon-meson vertices on the invariant energy and includes self-energy contribution to vector-meson propagators. Interaction vertices follow from Lagrangian of Chiral Perturbation Theory (ChPT) with explicit vector-meson degrees of freedom. The form factors, calculated without fitting parameters, are in a good agreement with experiment for space-like and time-like photon momenta. In addition we have calculated contribution of the KK channel to the muon anomalous magnetic moment. Запропоновано модель для опису електромагнітних форм-факторів зарядженого та нейтрального К-мезонiв в області √s ~ 1-2 ГеВ. Наш підхід базується на розширеній моделі домінантності векторних мезонів. Він враховує енергетичну залежність фотон-мезонних вершин та включає власно-енергетичний внесок до пропагаторів векторних мезонів. Вершини взаємодій отримані з лагранжиана кіральної теорії збурень (КТЗ) з векторними мезонами. Розраховані з лагранжиану КТЗ форм-фактори знаходяться у добрій відповідності до експериментальних даних для просторовоподібних та часоподібних імпульсів фотона. Також нами був розрахований внесок K⁺K⁻ – i K⁰K⁰–каналiв до аномального магнітного моменту мюона. Предложена модель для описания электромагнитных форм-факторов заряженного и нейтрального К-мезонов в области √s ~ 1-2 ГэВ. Наш подход основывается на расширеной модели доминантности векторных мезонов. Он учитывает зависимость фотон-мезонных вершин от инвариантной энергии и включает собственно-энергетический вклад в пропагатор векторных мезонов. Вершины взаимодействий выведены из лагранжиана киральной теории возмущений (КТВ), включающего векторние мезоны. Вычисленные на ос-нове лагранжиана КТВ форм-факторы находятся в хорошем соответствии с экспериментальными данными для пространственно-подобных и времениподобных импульсов фотона. Также нами был рассчитан вклад – K⁺K⁻ – и K⁰K⁰–каналов в аномальный магнитный момент мюона. We would like to thank S. Eidelman and N. Merenkov for useful suggestions and remarks. en Національний науковий центр «Харківський фізико-технічний інститут» НАН України Вопросы атомной науки и техники Elementary particle theory Charged and neutral kaon production in electron-positron annihilation Електрон-позитронна анiгiляцiя у каонну пару в розширеній моделі домінантності векторних мезонів Электрон-позитронная аннигиляция в каонную пару в расширенной модели доминантности векторных мезонов Article published earlier |
| spellingShingle | Charged and neutral kaon production in electron-positron annihilation Ivashyn, S.A. Korchin, A.Yu. Elementary particle theory |
| title | Charged and neutral kaon production in electron-positron annihilation |
| title_alt | Електрон-позитронна анiгiляцiя у каонну пару в розширеній моделі домінантності векторних мезонів Электрон-позитронная аннигиляция в каонную пару в расширенной модели доминантности векторных мезонов |
| title_full | Charged and neutral kaon production in electron-positron annihilation |
| title_fullStr | Charged and neutral kaon production in electron-positron annihilation |
| title_full_unstemmed | Charged and neutral kaon production in electron-positron annihilation |
| title_short | Charged and neutral kaon production in electron-positron annihilation |
| title_sort | charged and neutral kaon production in electron-positron annihilation |
| topic | Elementary particle theory |
| topic_facet | Elementary particle theory |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/110939 |
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