X(1835)and the new resonancesX(2120)andX

Abstract

We calculate the decay widths of both the second and the third radial excitations of and 0 within the framework of the 3 P 0 model. After comparing the theoretical decay widths and decay patterns with the available experimental data of ð1760Þ, Xð1835Þ, Xð2120Þ, and Xð2370Þ, we find that the interpretation of ð1760Þ and Xð1835Þ as the second radial excitation of and 0 crucially depends on the measured mass and width of ð1760Þ, which is still controversial experimentally. We suggest that there may be sizable p " p content in Xð1835Þ. Xð2120Þ and Xð2370Þ cannot be understood as the third radial excitations of and 0 . Xð2370Þ is probably a mixture of 0 ð4 1 S 0 Þ and glueball.

The possible members of the $$5^1S_0$$ 5 1 S 0 meson nonet

“….. The natures of the X (2120) and X (2370) are not clear [44,[51][52][53][54]. Since the X (2370) mass is also close to the quark model expectation for the η(5 1 S 0 ) mass [13], we shall discuss the possibility of the X (2370) as the isoscalar partner of the X (2500).…”

“…Therefore, our calculations do not support the 5 1 S 0 assignment for the X (2370). Other calculations from the 3 P 0 model suggest that the X (2370) is unlikely to be the 4 1 S 0 qq state [52,53]. If the X (2370) turns out to have J PC = 0 −+ in future, in order to explain its properties, more complicate scheme such as the qq-glueball mixing may be necessary, since the X (2370) mass is close to the pseudoscalar glueball mass of about 2.3-2.6 GeV predicted by the lattice QCD [7][8][9].…”

Double pulse generation in a highly nonlinear GaAs optical waveguide

“…Based on these ideas, a novel project to generate a double pulse will be presented and analyzed in the GaAs waveguide by suitably selecting the shape, temporal width, and intensity of an initial pulse. To date, various techniques have been proposed and effectively demonstrated to generate a double pulse in the time domain regime, whose main components usually consist of fiber [18,19] and grating [20,21]. In these investigations, it is necessary to strictly control the fiber dispersion and grating position for generating the double pulse.…”

Decay widths of theX(1835)as anN¯Nbound state

“…Among the interpretations are the N N bound state [6][7][8][9][10][11][12][13][14][15][16], the baryonium with sizable gluon content [17], the pseudoscalar glueball [18][19][20][21], the radial excitation of the η ′ [22][23][24][25], and the η c -glueball mixture [26,27]. The N N bound state interpretation has been the most natural one since the X(1835) resonance is a prime candidate for the source of the pp invariant mass enhancement in J/ψ → γpp reaction.…”

“…It is natural to interpret the X(1835) as the second radial excitation of η ′ as it is observed in the η ′ ππ channel. A quark model study [25] shows that the X(1835) decays to KK * and K * K * states with large partial decay widths. The product branching fraction Br(J/ψ → γX)Br(X → KK * , K * K * ) shall be much larger than Br(J/ψ → γX)Br(X → ππη ′ ).…”