arXiv subjects
Publications and source records attributed to S. M. Gerasyuta.
The relativistic six-quark equations are found in the framework of the dispersion relation technique. The strange baryonia are constructed without the mixing of the quarks and antiquarks. The relativistic six-quark amplitudes of the strange baryonia with the open and hidden strange are calculated. The poles of these amplitudes determine the masses of strange baryonia. 17 masses of baryonia are predicted.
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.
The masses of negative parity $(70,1^-)$ bottom nonstrange baryons are calculated in the relativistic quark model. The relativistic three-quark equations of the $(70,1^-)$ bottom baryon multiplet are derived 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 amplitude are obtained. The masses of 21 baryons are predicted.
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.
We generalized our approach to the hypernuclei with $A=B=3$ containing one charm or one bottom quark. We derive the relativistic nine-quark equations using the dispersion relation technique. The hypernuclei as the system of interacting quarks and gluons are considered. The relativistic nine-quark amplitudes of hypernuclei, including the constituent quarks with the charm or bottom are calculated. The approximate solutions of these equations are obtained using a method based on the extraction of leading singularities of the amplitudes. The poles of the multiquark amplitudes allow us to determine the masses and the binding energy of hypernuclei with the $A=3$. We predict the mass spectrum of hypernuclei with $A=3$, which is valuable to further experimental study of the hypernuclei with charm and bottom.
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.
Hypernuclei $ ^4_Y He$, $ ^4_Y H$, $ ^4_{YY} He$, $ ^4_{YY} H$, where $Y=Λ$, $Σ_0$, $Σ_+$, $Σ_-$, A=4 are considered using the relativistic twelve-quark equations in the framework of the dispersion relation technique. Hypernuclei as the systems of interacting quarks and gluons are considered. The relativistic twelve-quark amplitudes of hypernuclei, including $u$, $d$, $s$ quarks are constructed. The approximate solutions of these equations are obtained using a method based on the extraction of leading singularities of the amplitudes. The poles of the multiquark amplitudes allow us to determine the masses of hypernuclei with the atomic (baryon) number $A=B=4$. The mass of state $ ^4_ΛHe$ with the isospin projection $I_3=1/2$ and the spin-parity $J^P=0^+$ is equal to $M=3922\, MeV$. The mass of $ ^4_{ΛΛ}H$ $M=4118\, MeV$ with the isospin projection $I_3=0$ and the spin-parity $J^P=0^+$ is calculated. We predict the mass spectrum of hypernuclei with A=4, which is valuable to further experimental study of the hypernuclei.
In this work, we study the interaction between a nucleon and a $P$-wave charmed meson in the $T$ doublet by exchanging a pion. Our calculations indicate that a nucleon and a $P$-wave charmed meson with $J^P=0^+$ or $J^P=1^+$ in the $T$ doublet can form bound states. We propose the experimental search for these exotic molecular states near the $D_1(2420)N$ and $D_2^*(2460)N$ thresholds, where Belle, LHCb and the forthcoming Belle II have the discovery potential for them.
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.
In the framework of the dispersion relation technique the relativistic six-quark equations for the molecule $Σ_b Σ_b^*$ are found. The relativistic six-quark amplitudes of the hexaquark including the quarks of three flavors ($u$, $d$, $b$) are calculated. The pole of these amplitudes determines the mass of $Σ_b Σ_b^*$ state $M=11620\, MeV$. The binding energy is equal to $27\, MeV$.
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.
The relativistic six-quark equations for the molecule $NΞ$ are found in the dispersion relation technique. The relativistic six-quark amplitudes of the hexaquark including the quarks of three flavors ($u$, $d$, $s$) are calculated. The pole of these amplitudes determines the mass of $NΞ$ state $M=2252\, MeV$. The binding energy is equal to $3\, MeV$.
Low-lying hypernuclei $ ^3_ΛH$, $ ^3_ΣH$, $ ^3_ΛHe$, $ ^3_ΣHe$ are described by the relativistic nine-quark equations 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 relativistic nine-quark amplitudes of hypernuclei, including the quarks of three flavors ($u$, $d$, $s$) are calculated. The poles of these amplitudes determine the masses of hypernuclei. The mass of state $ ^3_ΛH$ with the isospin I=0 and the spin-parity $J^P=\frac{1}{2}^+$ is equal to $M=2991\, MeV$.
The relativistic six-quark amplitudes of the nonstrange baryonia with the open charm are calculated. The poles of these amplitudes determine the masses of baryonia. 9 masses of baryonia are predicted.
The relativistic nine-quark equations are found in the framework of the dispersion relation technique. $ ^3 He$ nucleus is described by these equations. We consider the $ ^3 He$ as the system of interacting quarks and gluons. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitudes are obtained. The relativistic nine-quark amplitudes of $ ^3 He$, including the $u$, $d$ quarks are calculated. The poles of these amplitudes determine the mass of nine-quark system. The $ ^3 He$ mass $M=2809\, MeV$ is calculated. The gluon coupling constant in the light nuclei region is equal to $g=0.1536$. The gluon interaction of $ ^3 He$ is obtained in 2 -- 3 time smaller as compared with baryon interaction.
The relativistic six-quark equations are found in the framework of the dispersion relation technique. The charmed baryonia $B\bar B$ are constructed without the mixing of the quarks and antiquarks. The relativistic six-quark amplitudes of the heavy baryonia are calculated. The poles of these amplitudes determine the masses of baryonia. 8 masses of charmed baryonia are predicted.
The relativistic six-quark equations are constructed in the framework of the dispersion relation technique. The relativistic six-quark amplitudes of dibaryons including the light $u$, $d$ and heavy $c$, $b$ quarks are calculated. The approximate solutions of these equations using the method based on the extraction of leading singularities of the heavy hexaquark amplitudes are obtained. The poles of these amplitudes determine the masses of charmed and bottom dibaryons with the isospins I=0, 1, 2 and the spin-parities $J^P=0^+$, $1^+$, $2^+$.
The relativistic six-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 heavy hexaquark amplitudes are obtained. The relativistic six-quark amplitudes of dibaryons including the light quarks $u$, $d$ and heavy quarks $c$, $b$ are calculated. The poles of these amplitudes determine the masses of charmed and bottom dibaryons with the isospins 1/2, 3/2, 5/2.