arXiv subjects

V. I. Kochkin

Publications and source records attributed to V. I. Kochkin.

At least 19 recordsLinked to original sources

arXiv2017

Relativistic five-quark equations and the strange (S = - 3) pentaquarks

The relativistic five-quark equations are found in the framework of the dispersion relation technique. The solutions of these equations using the method based on the extraction of the leading singularities of the amplitudes are obtained. The five-quark amplitudes for the S = -3 strange pentaquarks including the u, d, s quarks determine the masses of strange pentaquarks. The mass spectra of the strange pentaquarks with JP=1/2, 3/2 are calculated.

hep-ph↗

arXiv2015

Relativistic five-quark equations and the LHCb pentaquarks

The relativistic five-quark equations are found in the framework of the dispersion relation technique. The solutions of these equations using the method based on the extraction of the leading singularities of the amplitudes are obtained. The five-quark amplitudes for the hidden-charm pentaquarks including the u, d, c - quarks are calculated. The poles of these amplitudes determine the masses of pentaquarks. The masses of pentaquarks with JP=3/2-, 5/2+ are calculated.

hep-ph↗

arXiv2015

Exploration of charmed pentaquarks

In this work, we explore the charmed pentaquarks, where the relativistic five-quark equations are obtained by the dispersion relation technique. By solving these equations with the method based on the extraction of the leading singularities of the amplitudes, we predict the mass spectrum of charmed pentaquarks with $J^P=1/2^{\pm}$ and $3/2^{\pm}$, which is valuable to further experimental study of charmed pentaquark.

hep-ph↗

arXiv2014

Relativistic four-quark equations and cryptoexotic mesons spectroscopy

The four-quark equations are found in the framework of the dispersion relation technique. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitudes are obtained. The four-quark amplitudes of cryptoexotic mesons including the quarks of three flavours (u, d, s) are calculated. The mass values of low-lying cryptoexotic mesons are calculated.

hep-ph↗

arXiv2013

Charmonium-like structures with the open-charm and the open-strange channels

The relativistic four-quark equations with the open-charm and the open-strange are found in the framework of coupled-channel formalism. The dynamical mixing of the meson-meson states with the four-quark states is considered. The four-quark amplitudes including the quarks of four flavors (u, d, s, c) are constructed. The poles of these amplitudes determine the masses of tetraquarks. The mass values of the tetraquarks with the spin-parity JP=1-,2- are calculated.

hep-ph↗

arXiv2010

Negative parity tetraquarks with the open charm

The relativistic four-quark equations are found in the framework of coupled-channel formalism. The dynamical mixing of the meson-meson states with the four-quark states is considered. The four-quark amplitudes of the negative parity tetraquarks including the quarks of three flavors (u, d, s) and the charmed quark are constructed. The poles of these amplitudes determine the masses of tetraquarks. The mass values of low-lying tetraquarks with the spin-parity JP=0-,1-,2-,3- are calculated.

hep-ph↗

arXiv2009

S-wave bottom tetraquarks

The relativistic four-quark equations are found in the framework of coupled-channel formalism. The dynamical mixing of the meson-meson states with the four-quark states is considered. The four-quark amplitudes of the tetraquarks, including $u$, $d$, $s$ and bottom quarks, are constructed. The poles of these amplitudes determine the masses and widths of $S$-wave bottom tetraquarks.

hep-ph↗

arXiv2009

Low-lying exotic mesons in the coupled-channel formalism

The relativistic four-quark equations are found in the framework of the dispersion relation technique. The dynamical mixing of the four-quark amplitudes and the glueball amplitudes is considered. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitudes are obtained. The four-quark amplitudes of exotic mesons including the quarks of three flavors (u, d, s) are calculated. The poles of these amplitudes determine the masses of the exotic mesons.

hep-ph↗

arXiv2008

Scalar tetraquarks with open bottom

The relativistic four-quark equations in the framework of the dispersion relation technique are derived. The four-quark amplitudes of the scalar tetraquarks with open bottom, including u, d, s and bottom quarks, are constructed. The poles of these amplitudes determine the masses and widths of scalar tetraquarks.

nucl-th↗

arXiv2008

Masses and widths of scalar tetraquarks with hidden bottom

The relativistic four-quark equations are found in the framework of coupled-channel formalism. The dynamical mixing of the meson-meson states with the four-quark states is considered. The four-quark amplitudes of the tetraquarks with hidden bottom, including u, d, s and bottom quarks, are constructed. The poles of these amplitudes determine the masses and widths of tetraquarks.

hep-ph↗

arXiv2008

Widths of tetraquarks with open charm

In the framework of coupled-channel formalism the relativistic four-quark equations are found. The dynamical mixing of the meson-meson states with the four-quark states is considered. The four-quark amplitudes of the tetraquarks with open charm, including u, d, s, c quarks, are constructed. The poles of these amplitudes determine the masses and widths of tetraquarks.

hep-ph↗

arXiv2008

Widths of tetraquarks with hidden charm

The relativistic four-quark equations are found in the framework of coupled-channel formalism. The dynamical mixing of the meson-meson states with the four-quark states is considered. The four-quark amplitudes of the tetraquarks with hidden charm including u, d, s and charmed quarks are constructed. The poles of these amplitudes determine the masses and widths of tetraquarks.

hep-ph↗

arXiv2008

Tetraquarks with charm in coupled-channel formalism

The relativistic four-quark equations are found in the framework of coupled-channel formalism. The dynamical mixing of the meson-meson states with the four-quark states is considered. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitudes are obtained. The four-quark amplitudes of cryptoexotic mesons including the quarks of three flavours (u, d, s) and the charmed quark are constructed. The poles of these amplitudes determine the masses of tetraquarks. The mass values of low-lying tetraquarks are calculated.

hep-ph↗

arXiv2007

Relativistic five-quark equations and a narrow N(1688) resonance

The relativistic five-quark equations are found in the framework of the dispersion relation technique. The five-quark amplitude for the N(1688) resonance including u-, d- quarks is calculated. The pole of this amplitude determines the mass of non-strange pentaquark M=1686 MeV and the width about 7MeV. The results are in good agreement with the evidence for a narrow N(1688) resonance.

hep-ph↗

arXiv2006

Relativistic five-quark equations and exotic baryons with isospin I=5/2

The relativistic five-quark equations are found in the framework of the dispersion relation technique.The five-quark amplitudes for the low-lying exotic baryons including the up and down quarks are calculated.The poles of the five-quark amplitudes determine the masses and the widths of nonstrange exotic baryons(isospin I=5/2). The mass spectrum of the E+++ exotic baryons with JP=1/2+,3/2+, 5/2+ is calculated.

hep-ph↗

arXiv2005

Relativistic five-quark equations and negative parity pentaquarks

The relativistic five-quark equations are found in the framework of the dispersion relation technique. The solutions of these equations using the method based on the extraction of the leading singularities of the amplitudes are obtained. The five-quark amplitudes for the low-lying pentaquarks including the u, d, s- quarks are calculated. The poles of these amplitudes determine the masses of the negative parity pentaquarks with I = 0, 1 and spin 3/2-, 5/2-. The mass of the lowest pentaquark with I = 0 and spin 3/2- is equal to 1514 MeV.

hep-ph↗

arXiv2005

Width of Theta - pentaquarks in relativistic quark model

The relativistic generalization of Faddeev-Yakubovsky approach is constructed in the form of the dispersion relations. The five-quark amplitudes for the low-lying pentaquarks contain u,d,s-quarks. The poles of these amplitudes determine the masses and widths of Theta-pentaquarks.

hep-ph↗

arXiv2004

Three-alpha-cluster structure of the 0^+ states in ^{12}C and the effective alpha-alpha interactions

The $0^{+}$ states of $^{12}\mathrm{C}$ are considered within the framework of the microscopic three-$α$-cluster model. The main attention is paid to accurate calculation of the width of the extremely narrow near-threshold $0^+_2$ state which plays a key role in stellar nucleosynthesis. It is shown that the $0^{+}_2$-state decays by means of the sequential mechanism ${^{12}\mathrm{C}} \to α+{^8\mathrm{Be}} \to 3α$. Calculations are performed for a number of effective $α- α$ potentials which are chosen to reproduce both energy and width of $^8\mathrm{Be}$. The parameters of the additional three-body potential are chosen to fix both the ground and excited state energies at the experimental values. The dependence of the width on the parameters of the effective $α- α$ potential is studied in order to impose restrictions on the potentials.

nucl-th↗