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arXiv 1007.2052nucl-th
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~ 3 He(n,p)~ 3 H反应中宇称破坏的不对称性

The parity-violating asymmetry in the 3He(n,p)3H reaction

M. Viviani, R. Schiavilla, L. Girlanda, A. Kievsky, L. E. Marcucci

摘要:

研究了入射中子能量为零时,电荷交换反应3 He(n,p)3 H中核子-核子势中宇称破坏(PV)分量引起的纵向不对称性.从入射n-3 He通道中的{2S+1} LJ = 1 S 0和3S 1态到出射p-3 H通道中的J=0和1态的跃迁,导出了用T矩阵元表示的PV可观测量的表达式.在强子弱相互作用势中,用一阶微扰理论得到了包含PV跃迁的T矩阵元,而由强相互作用哈密顿量的解用超球谐方法得到了具有相同宇称的连接态.散射问题的耦合通道性质是充分占。结果得到相应的现实或手征的两个和三个核子强相互作用势结合无论是DDH或pionless EFT模型的弱相互作用势。根据输入的强相互作用哈密顿量,用PV介子和矢量介子耦合常数预测的不对称性(基本上)对应于DDH“最佳值”集,范围从-9.44到-2.48(单位为10^{-8})。这种大的模型依赖性是长程(π介子)和短程(矢量介子)贡献之间相消的结果,当然对PV耦合常数的假设值很敏感。

英文摘要:

The longitudinal asymmetry induced by parity-violating (PV) components in the nucleon-nucleon potential is studied in the charge-exchange reaction 3He(n,p)3H at vanishing incident neutron energies. An expression for the PV observable is derived in terms of T-matrix elements for transitions from the {2S+1}L_J=1S_0 and 3S_1 states in the incoming n-3He channel to states with J=0 and 1 in the outgoing p-3H channel. The T-matrix elements involving PV transitions are obtained in first-order perturbation theory in the hadronic weak-interaction potential, while those connecting states of the same parity are derived from solutions of the strong-interaction Hamiltonian with the hyperspherical-harmonics method. The coupled-channel nature of the scattering problem is fully accounted for. Results are obtained corresponding to realistic or chiral two- and three-nucleon strong-interaction potentials in combination with either the DDH or pionless EFT model for the weak-interaction potential. The asymmetries, predicted with PV pion and vector-meson coupling constants corresponding (essentially) to the DDH "best values" set, range from -9.44 to -2.48 in units of 10^{-8}, depending on the input strong-interaction Hamiltonian. This large model dependence is a consequence of cancellations between long-range (pion) and short-range (vector-meson) contributions, and is of course sensitive to the assumed values for the PV coupling constants.

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