Three-body model for $K(1460)$ resonance

Abstract

The three-body KK K model for the K(1460) resonance is developed on the basis of the Faddeev equations in configuration space. A single-channel approach is using with taking into account the difference of masses of neutral and charged kaons. It is demonstrated that a splitting the mass of the K(1460) resonance takes a place around 1460 MeV according to K

Remarks on non-perturbative three--body dynamics and its application to the $KK\bar K$ system

“…A three-body KK K quasibound state with I(J P ) = 1 2 (0 − ) was found with a mass around 1420 MeV which was identified with the K(1460). In a more recent work [38], by solving the Faddeev equations in configuration space within the Gaussian expansion method, the K(1460) was identified with a three-body KK K bound state with a mass of 1460 MeV. We note that in Ref.…”

Partial decay widths of $ϕ(2170)$ to kaonic resonances

“…[20] (see Refs. [19,[21][22][23]), and a kaon state has always been found to arise with mass ∼ 1460 MeV but with widths ranging between MeV, depending on the model.…”

“…Next, we need to calculate the expressions in Eq. (23). To do this, we consider the Passarino-Veltman reduction for tensor integrals [49] and write I (1) µ = a…”

“…[7][8][9][10][11][12][13][14][15][16][17] for φ(2170), Refs. [18][19][20][21][22][23] for K(1460), and Refs. [24][25][26][27][28] for K 1 (1270) and K 1 (1400)].…”