Parity-doubling chiral solitons with vector mesons

Igarashi, Y.; Kobayashi, Akizo; Otsu, Hideharu; Sawada, Shoji

doi:10.1016/0370-2693(87)90054-2

Cited by 11 publications

(5 citation statements)

References 24 publications

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“…Since LlM/M is less than 1% as estimated in Ref. 22) with a variational method, the two states form an almost degenerate parity-doublet which is not relevant to the observed hadron spectra.…”

Section: The Model For the 7r-p System With Skyrme Termmentioning

confidence: 97%

Chapter II. Stability of Chiral Solitons

Kobayashi¹,

Otsu

Sato

et al. 1992

Prog. Theor. Phys. Suppl.

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We review studies on the stability of various chiral solitons both in the classical and quantum levels with and without the Skyrme term as the stabilizer. The effects of the couplings with the vector mesons on the stability of the chiral solitons are also discussed. The quantization of solitons is implemented in terms of the collective coordinate method and we consider here the spin-isospin rotations and the breathing motion of the solitons.It is shown that the chiral solitons are dynamically stable when the Lagrangian contains the stabilizer term. with higher derivatives and/ or the coupling with the w meson is introduced. In the case of the chiral soliton coupled with the p mesons, either the parity conserving states or the spontaneously pe].rity violating states occur depending on the parameters of the Lagrangian. When the stabilizer is absent, the soliton coupled with the p meson decays through the parity violating states, even the effects of quantization of rotational and breathing modes are taken into account. When the stabilizer effect is weak, there appear the "frozen states" where the quantum motions of the spin-isospin rotational. modes and the breathing mode are completely pressed down.

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Section: The Model For the 7r-p System With Skyrme Termmentioning

confidence: 97%

Chapter II. Stability of Chiral Solitons

Kobayashi¹,

Otsu

Sato

et al. 1992

Prog. Theor. Phys. Suppl.

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show abstract

“…In order to obtain (17) and (IS), we have made an approximation for q (7], m in (15) where we use the mean value 13 instead of the breathing variable B(t) in the first term of the denominator of q(7}, m. In the following calculation we fix the mean value 13 to 1 GeV-I which is reasonable as we discuss later when the parameter C is not far from one.…”

Section: -([G 2 (7])+ H 2 (7])-1)2/2r 2 +[G'(7])-h(7])k(7])/r)2 + [H'mentioning

confidence: 99%

“…and the prime denotes differentiation with respect to r. The profile function K (7]) is not an independent variable.7),12) The EulerLagrange equation for K ( 7]) leads to where the prime denotes 7J differentiation.…”

Section: -([G 2 (7])+ H 2 (7])-1)2/2r 2 +[G'(7])-h(7])k(7])/r)2 + [H'mentioning

confidence: 99%

“…Expressions for Vp(x) given by (10) are obtained from the sums of vector and axial vector currents of chiral field, -iap~t(x)~(x), through the replacement of RCt), l-cosF(p), sinF(p) and pF'(p) by BCt), C (7]), H (7]) and K (7]), respectively. *) By substitution of (9) and (10) into (6) we obtain the Lagrangian for the breathing and rotational motions,…”

Section: )F(r; R(t))/2]a T(t)mentioning

confidence: 99%

“…f7,zTr(ap.~L~1-aP.6~R t)2 where (7) We neglect the pion mass term. We take the unitary gauge for ~L(R)(X),…”

mentioning

confidence: 99%

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Stability of Quantized Chiral Soliton Coupled with the Meson

Yang

Sawada

Kobayashi

1992

Progress of Theoretical Physics

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457Stability of the chiral soliton coupled with the p meson which is quantized by taking breathing modes into account in addition to the spin·iso"pin rotational modes is examined on the basis of families of trial functions. It is shown that the parity-conserving states are not the ones with minimum energies and the solitons collapse through the spontaneous parity-violating states. The decay paths are represented by a parameter of trial profile functions. § 1. IntroductionIt had been suggested a possibility that solitons of the simplest chiral Lagrangian which has only the kinetic term of chiral field may be stabilized if quantum effects of breathing mode are taken into account even when the Skyrme term is absent. 1),2) However, it was shown that there exists explicit paths of collapse of the chiral soliton in the absence of the Skyrme term_ U(x)=A(t)exp[i( .. , x)F(r; R(t))]A t(t),(1) where A(t)ESU(2) is a dynamical variable of spin-isospin rotation and R(t) is that of the breathing motion. By introducing a dimensionless variable p = r/R( t) a family of trial functions is expressed as (2)

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Multi-Skyrmion solutions in the Weinberg-Salam and Sakurai model

Brihaye

Kunz

1989

Z. Phys. C - Particles and Fields

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Parity-doubling chiral solitons with vector mesons

Cited by 11 publications

References 24 publications

Chapter II. Stability of Chiral Solitons

Chapter II. Stability of Chiral Solitons

Stability of Quantized Chiral Soliton Coupled with the Meson

Multi-Skyrmion solutions in the Weinberg-Salam and Sakurai model

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