Universality of nucleon-nucleon short-range correlations: the factorization property of the nuclear wave function, the relative and center-of-mass momentum distributions, and the nuclear contacts
Massimiliano Alvioli, Claudio Ciofi degli Atti, Hiko Morita
The two-nucleon momentum distributions have been calculated for nuclei up to A=40 and various values of the relative and center-of-mass momenta and angle between them. For complex nuclei a parameter-free linked-cluster expansion, based upon a realistic local two-nucleon interaction of the Argonne family and variational wave function featuring central, tensor, spin and iso-spin correlations, has been used. The obtained results show that: 1) independently of the mass number A, at values of the relative momentum k_rel> 2 fm^{-1} the proton-neutron momentum distributions for back-to-back (BB) nucleons (K_cm=0) exhibit the factorization property n_A^{pn}(k_rel,K_cm=0)=C_A^{pn} n_D(k_rel) n_{cm} ^{pn}(K_cm=0), where n_D is the deuteron momentum distribution, n_{cm} ^{pn}( K_{cm} =0) the momentum distribution of the c.m. motion of the pair and C_A^{pn} the nuclear contact measuring the number of BB pn pairs with deuteron-like momenta; 2) the values of the proton-neutron nuclear contact C_A^{pn} are obtained in a model-independent way from the ratio n_A^{pn}(k_rel,K_cm=0)/n_D(k_rel) n_{cm} ^{pn}(K_cm=0); 3) also the K_cm-integrated pn momentum distributions divided by the deuteron momentum distribution exhibits a constant behavior equal to C_A^{pn}, but only at very high values of k_{rel} > 3.5fm^{-1}, where the relative momentum distribution is entirely governed by BB short-range correlated nucleons; 4) the absolute value of the number of pn and pp short-range correlated pairs is calculated, illustrating that the high values (K_cm>1 fm^{-1}) of the pair c.m. momentum appreciably reduce the dominance of the pn over pp pairs produced by the tensor force when K_cm=0; 5) calculations are in good agreement with the VMC calculations for light nuclei and with available experimental on the processes A(e,e'pn)X and A(e,e'pp)X.
英文摘要:
The two-nucleon momentum distributions have been calculated for nuclei up to A=40 and various values of the relative and center-of-mass momenta and angle between them. For complex nuclei a parameter-free linked-cluster expansion, based upon a realistic local two-nucleon interaction of the Argonne family and variational wave function featuring central, tensor, spin and iso-spin correlations, has been used. The obtained results show that: 1) independently of the mass number A, at values of the relative momentum k_rel> 2 fm^{-1} the proton-neutron momentum distributions for back-to-back (BB) nucleons (K_cm=0) exhibit the factorization property n_A^{pn}(k_rel,K_cm=0)=C_A^{pn} n_D(k_rel) n_{cm}^{pn}(K_cm=0), where n_D is the deuteron momentum distribution, n_{cm}^{pn}(K_{cm}=0) the momentum distribution of the c.m. motion of the pair and C_A^{pn} the nuclear contact measuring the number of BB pn pairs with deuteron-like momenta; 2) the values of the proton-neutron nuclear contact C_A^{pn} are obtained in a model-independent way from the ratio n_A^{pn}(k_rel,K_cm=0)/n_D(k_rel) n_{cm}^{pn}(K_cm=0); 3) also the K_cm-integrated pn momentum distributions divided by the deuteron momentum distribution exhibits a constant behavior equal to C_A^{pn}, but only at very high values of k_{rel}> 3.5fm^{-1}, where the relative momentum distribution is entirely governed by BB short-range correlated nucleons; 4) the absolute value of the number of pn and pp short-range correlated pairs is calculated, illustrating that the high values (K_cm>1 fm^{-1}) of the pair c.m. momentum appreciably reduce the dominance of the pn over pp pairs produced by the tensor force when K_cm=0; 5) calculations are in good agreement with the VMC calculations for light nuclei and with available experimental on the processes A(e,e'pn)X and A(e,e'pp)X.
Simplified approach to extracting nucleon transversity in collinear factorization using near-side energy-energy correlators
University of California, Los Angeles(加州大学洛杉矶分校);Mani L. Bhaumik Institute for Theoretical Physics, University of California, Los Angeles(加州大学洛杉矶分校马尼·L·巴乌米克理论物理研究所);Center for Frontiers in Nuclear Science, Stony Brook University(石溪大学核科学前沿中心);Temple University(天普大学);Lebanon Valley College(黎巴嫩谷学院)
Universality of nucleon short-range behavior with chiral forces
Peng Huanwu Collaborative Center for Research and Education, International Institute for Interdisciplinary and Frontiers, Beihang University(北京航空航天大学国际交叉前沿研究院彭桓武教研合作中心)
Universality of many-body two-nucleon momentum distributions: the correlated nucleon spectral function of complex nuclei revisited
Realistic NN interactions and many-body approaches have been used to calculate ground-state properties of nuclei with A=3, 4, 12, 16, 40, with particular emphasis on various kinds of momentum distributions. It is shown that at proper values of the relative (rel) and center-of-mass (c.m.) momenta, the two-nucleon momentum distribution n_A^{N_1N_2} ( k_{rel} , K_{c.m.} , θ) exhibits the property of factorization, namely n_A^{N_1N_2} ( k_{rel} , K_{c.m.} , θ) \simeq n_{rel} ( k_{rel} ) n_(c.m.)( K{c.m.}). The factorization of the momentum distributions , bearing a universal character, results fro…
A microscopic nucleon spectral function for finite nuclei featuring two- and trhee-nucleon short-range correlations: I. The model vs. ab-initio calculations for the three-nucleon systems
本文介绍了在两核子(2N)和三核子(3 N)短程关联(SRC)范围内描述单核子动量分布n(k_1)和谱函数P(k_1)的卷积模型的主要特点,E)根据涉及相对n_{rel}的卷积积分详细说明了核子-核子对的质心动量分布(k_{rel})和质心动量分布(n_{c.m.}(K_{c.m.}))。它强调,该模型,它源于在短的核子间距离的核波函数所表现出的因式分解的普适属性,是只适用于一个明确定义的区域的k_{rel}和K_{c.m.},它示出,特别是,因式分解的要求引入了严格的约束值的k_{rel}和K_{c.m.}出现在卷积积分。使用从头算相对论和c.m.通过计算^3He的动量分布,将卷积模型的谱函数和动量分布与用真实的Argonne族局域NN相互作用进行的从头计算结果进行比较,研究了卷积模型的有效性。结果表明,当正确考虑对k_{rel}和K_{c.m.}的值的约束,仅考虑2N SRC时,卷积模型在后者所显示的峰区域与从头算谱函数吻合得很好,而远离峰,特别是在高去除能值时,只有考虑3 N SRC的影响,模型谱函数才能定性地与从头算谱函数一致。至于核子动量分布,3 N SRC的影响似乎很小。
Quenching of Leading Jets and Particles: the p_t Dependent Landau-Pomeranchuk-Migdal effect from Nonlinear k_t Factorization
本文首次推导了RHIC(Relativistic Heavy Ion Collider)到LHC(Large Hadron Collider)强子-核碰撞中,在束流碎裂区中,横向动量p_t固定时,引导喷流的Landau-Pomeranchuk-Migdal效应。这项工作的主要新颖之处是这些过程中缺少的虚辐射pQCD校正的推导-实际发射辐射校正已经在文献中提供。我们显然实现了么正关系,它以最简单的形式要求,在虚发射修正和实发射修正相加时,散射夸克的总数必须正好等于1。对于自由核子靶,我们证明了前导喷流谱满足Balitsky-Fadin-Kuraev-Lipatov前导log(1/x)(LL-1/x)线性演化。对于核靶,超前喷流谱的LL-1/x演化的非线性k_t-因子分解与集体核胶的非线性LL-1/x演化完全匹配--在两个非线性演化的核观测量之间出现了唯一的线性k_t-因子分解关系。我们认为,在从RHIC到LHC的有限能量范围内,在重核的标准稀释非关联核子气体处理中,主导喷流谱可以在LL-1/x Balitsky-Kovchegov近似下演化。我们评论这些结果的扩展,和他们可能reggeon场论解释,在LHC中快射流。