Axial Vector Tetraquark with Two<i>s</i>-Quarks

Kanada-En’yo, Yoshiko; Morimatsu, Osamu; Nishikawa, Tetsuo

doi:10.1143/ptps.168.194

Cited by 85 publications

(193 citation statements)

References 17 publications

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“…In addition to the central force, the two-range Gaussian spin-orbit term of the G3RS force [35,36] with he strengths u I = −u II = 3000 MeV is supplemented. This set of interaction parameters describes well properties of the ground and excited states of 10 Be and 12 C in the AMD+VAP calculations [37][38][39].…”

Section: A Effective Interactionsmentioning

confidence: 63%

Cluster and toroidal aspects of isoscalar dipole excitations in C12

2018

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We investigated cluster and toroidal aspects of isoscalar dipole excitations in 12 C based on the shifted basis antisymmetrized molecular dynamics combined with the generator coordinate method, which can describes 1p-1h excitations and 3α dynamics. In the E = 10 − 15 MeV region, we found two low-energy dipole modes separating from the giant dipole resonance. One is the developed 3α-cluster state and the other is the toroidal dipole mode. The cluster state is characterized by the large amplitude cluster motion beyond the 1p-1h model space, whereas the toroidal dipole mode is predominantly described by 1p-1h excitations on the ground state. The low-energy dipole states are remarkably excited by the toroidal dipole operator, which can measure the nuclear vorticity. For compressive dipole transition strengths, a major part is distributed in the 30 − 50 MeV region for the giant dipole resonance, and 5% of the total energy weighted sum exist in the E < 20 MeV region.

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Section: A Effective Interactionsmentioning

confidence: 63%

Cluster and toroidal aspects of isoscalar dipole excitations in C12

2018

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“…The most interesting and frequently investigated of these systems are approximated by a three-body structure. Extensions to excited three-body continuum states are now being pursued and attracting a lot of attention [8][9][10][11][12]. To get accurate three-body wave functions the Faddeev decomposition with different Jacobi coordinates is employed in coordinate space computations [13].…”

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confidence: 99%

Cluster sum rules for three-body systems with angular-momentum dependent interactions

et al. 2008

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We derive general expressions for non-energy-weighted and energy-weighted cluster sum rules for systems of three charged particles. The interferences between pairs of particles are found to play a substantial role. The energy-weighted sum rule is usually determined by the kinetic energy operator, but we demonstrate that it has similar additional contributions from the angular momentum and parity dependence of two-and three-body potentials frequently used in three-body calculations. I. MOTIVATIONThe use of sum rules in quantum mechanics is well established and abundantly applied for many different systems [1,2]. The prominent examples are the transitions from a given quantum state induced by an electromagnetic multipole operator. For any multipole operator acting on an initial state, the sum of all the related transition probabilities multiplied by powers of the excitation energy are completely determined by the properties of the initial state [3,4].The sum rules exist in general for any many-body quantum system. Of specific interest are those systems where the constituents clusterize, such that the degrees of freedom can be divided into the internal ones corresponding to each cluster and those associated with the relative motion of the clusters [5]. Then the different multipole operators can be decomposed into terms depending on the intrinsic coordinates of each cluster and an additional term depending only on the relative coordinates of the centers of mass of the clusters. This operator structure then leaves two sum rules showing the same decomposition: the sum rules associated with each individual cluster (depending only on the properties of the initial cluster state) plus the cluster sum rule (depending on the properties of the few-body initial wave function). Examples are found in Refs. [6,7], where the dipole non-energy-weighted and dipole energy-weighted sum rules are obtained for many-body systems clusterizing into a two-body system. When a clusterized system can be properly described as a few-body system where the internal cluster degrees of freedom are frozen, only the cluster sum rules remain, corresponding to the much smaller Hilbert space of ground and excited states of the relative cluster motion. This kind of few-body descriptions have been extensively used in nuclear physics during the past 10-15 years in connection with halos and weakly bound states in general [5]. The most interesting and frequently investigated of these systems are approximated by a three-body structure. Extensions to excited three-body continuum states are now being pursued and attracting a lot of attention [8][9][10][11][12]. To get accurate three-body wave functions the Faddeev decomposition with different Jacobi coordinates is employed in coordinate space computations [13]. The unavoidable transformation from one set of Jacobi coordinates to another complicates the structure of the cluster sum rules, especially when more than one of the three particles is charged.The purpose of this work is to generalize the dipole twobody...

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“…Another interesting problem is the stability of the linear chain 3α structure in C isotopes. According to AMD and FMD calculations [12,13,26], it was suggested that the straight-line linear chain structure is not stable in 12 C but only a chain-like open triangle 3α configuration may appear in the higher 0 + state (the 0 + 3 state in the present calculation), a few MeV above the 0 + 2 state. This suggestion is supported by the recent experimental observation of 0 + states around excitation energy of 10 MeV by Itoh et al [23].…”

Section: Inpc 2013mentioning

confidence: 60%

“…However, in the case of neutron-rich Be, two α clusters develop further and level inversion occurs. Indeed, in the AMD results of Be isotopes, the breaking of the neutron magic number N = 8 is proposed also in 12 Be and 13 Be because of the lowering of the σ orbital in the cluster states as well as 11 Be. The results were consistent with a recent experimental observation of a low-lying abnormal parity state, the 1/2 − , in 13 Be reported by Kondo et al [33].…”

Section: Inpc 2013mentioning

confidence: 99%

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Cluster formation, breaking, and excitation in light nuclei

Kanada-En’yo

Suhara

Kobayashi

2014

EPJ Web of Conferences

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Abstract. In this paper, we discuss cluster phenomena in light nuclei based on calculations using the antisymmetrized molecular dynamics (AMD) method. Cluster structures in C, B, and Be were studied systematically, and their cluster formation and excitation are discussed. Cluster gas states and their band members are suggested for the excited states of 12 C and 11 B. The ground state cluster correlation and excited cluster gas state are discussed from the point of view of symmetry breaking and restoration.

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Axial Vector Tetraquark with Twos-Quarks

Cited by 85 publications

References 17 publications

Cluster and toroidal aspects of isoscalar dipole excitations in C12

Cluster and toroidal aspects of isoscalar dipole excitations in C12

Cluster sum rules for three-body systems with angular-momentum dependent interactions

Cluster formation, breaking, and excitation in light nuclei

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