Study of $$qqq{\bar{q}}Q$$ pentaquark system in the chiral quark model

Abstract

With the discovery of some hidden-charm pentaquark resonances by the LHCb Collaboration, investigations of pentaquark states containing heavy quarks have aroused the interest of theorists. We study herein $$qqq{\bar{q}}Q$$ q q q q ¯ Q ($$q = u$$ q = u or d, $$Q=c$$ Q = c or b) pentaquark system, in the framework of the chiral quark model. In consequence, some charmed and bottomed pentaquarks are considered to exist by five-body dynamical calculations. In the charm sector, $$\Sigma _c\pi (IJ^P=0\frac{1}{2}^-)$$ Σ c π ( I J P = 0 1 2 - ) and $$\Sigma _c^*\pi (IJ^P=0\frac{3}{2}^-)$$ Σ c ∗ π ( I J P = 0 3 2 - ) are possible candidates of $$\Lambda _c(2595)$$ Λ c ( 2595 ) and $$\Lambda _c(2625)$$ Λ c ( 2625 ) , respectively. Besides, two high-spin states, $$\Sigma _c^*\rho (IJ^P=0\frac{5}{2}^-)$$ Σ c ∗ ρ ( I J P = 0 5 2 - ) and $$\Delta D^*(IJ^P=1\frac{5}{2}^-)$$ Δ D ∗ ( I J P = 1 5 2 - ) , are also found in the energy region of $$3.2 \sim 3.3$$ 3.2 ∼ 3.3 GeV. In the bottom sector, $$\Sigma _b\pi (IJ^P=0\frac{1}{2}^-)$$ Σ b π ( I J P = 0 1 2 - ) , $$\Sigma _b^*\pi (IJ^P=0\frac{3}{2}^-)$$ Σ b ∗ π ( I J P = 0 3 2 - ) could be candidates of $$\Lambda _b(5912)$$ Λ b ( 5912 ) and $$\Lambda _b(5920)$$ Λ b ( 5920 ) , respectively. And $$\Sigma _b^*\rho (IJ^P=0\frac{5}{2}^-)$$ Σ b ∗ ρ ( I J P = 0 5 2 - ) and $$\Delta B^*(IJ^P=1\frac{5}{2}^-)$$ Δ B ∗ ( I J P = 1 5 2 - ) are found in the energy region of $$6.5 \sim 6.6$$ 6.5 ∼ 6.6 GeV. $$\Sigma _c^{(*)}\pi $$ Σ c ( ∗ ) π and $$\Sigma _b^{(*)}\pi $$ Σ b ( ∗ ) π are expected as compact states, while $$\Sigma _c^*\rho $$ Σ c ∗ ρ , $$\Sigma _b^*\rho $$ Σ b ∗ ρ , $$\Delta D^*$$ Δ D ∗ and $$\Delta B^*$$ Δ B ∗ are expected as molecular states.

Plasma‐Assisted Reforming of Methane

“…In addition, direct partial oxidation of CH 4 to methanol (CH 3 OH) has been attracting significant attention since it was found possible in 1902 because of its great industrial potential for the utilization of natural gas. [ 107 ] The reactions of CH 4 to CH 3 OH by direct routes are as R2.11. Conventionally, the liquefaction of natural gas is an indirect process.…”

Preparation of fluorinated poly(benzoxazole-co-imide) with low dielectric constants based on the thermal rearrangement reaction of o-hydroxy polyimides

“…[5][6][7][8] For instance, modified polyimide has become essential for cell phone antennas in 5G mobile communication technology. 9 Nevertheless, the dielectric constant (D k = 3.1-3.5@ 1 MHz) 10 of traditional PI is increasingly challenging to meet the requirements of the times. Consequently, it is of practical significance to modify traditional PI to meet the needs for application in ULSI.…”

“…Despite the means of introducing pores, the preparation of PIs with low dielectric constants by designing the molecular structure is also an effective means. Common methods include introducing trifluoromethyl groups, 10,15 benzocyclobutene (BCB) structures, 16 bulk structures, 2 ester groups or ether bonds, 9,17 etc. Cheng 16 prepared a series of fluorinated polyimides with different BCB contents.…”

Fully-charm and -bottom pentaquarks in a Lattice-QCD inspired quark model

“…Besides, many analysis on hiddencharm pentaquarks P c and P cs have been published in the last few years . Meanwhile, several other types of pentaquark are theoretically studied, such as the hiddenstrange and -bottom pentaquarks [72][73][74][75] as well as the single and doubly-charmed pentaquarks [76][77][78][79][80][81][82].…”