In Odoo, updating the value of a One2many field without refreshing the page typically involves using client-side actions with JavaScript. Here's an approach you can take to achieve this functionality:

1. Create a Server-Side Method: Define a server-side method that will update the One2many field with the payment information. This method will be called from the client-side.
2. Update the One2many Field: Implement the logic in the server-side method to update the One2many field with the payment information.
3. Call the Server-Side Method from the Client-Side: Trigger the server-side method using JavaScript when the payment is created. This can be done by sending an RPC (Remote Procedure Call) request to the server.
4. Update the View: Once the server-side method has updated the One2many field, update the view on the client-side to reflect the changes without refreshing the page.

Here's an example implementation:

from odoo import models, api

class StockPicking(models.Model):
    _inherit = 'stock.picking'

    @api.model
    def update_payment_information(self, picking_id, payment_data):
        picking = self.browse(picking_id)
        picking.write({
            'account_payment_ids': [(0, 0, payment_data)]  # Update One2many field
        })

In your JavaScript file or XML template, you can call this server-side method using Odoo's JavaScript framework:

 odoo.define('your_module_name.payment_update', function (require) {
    "use strict";

    var rpc = require('web.rpc');

    function updatePaymentInformation(picking_id, payment_data) {
        rpc.query({
            model: 'stock.picking',
            method: 'update_payment_information',
            args: [picking_id, payment_data],
        }).then(function () {
            // Update the view here if necessary
            // For example, refresh the One2many field
        });
    }

    // Call this function when payment is created
    // Pass picking_id and payment_data as arguments
    // For example:
    // updatePaymentInformation(picking_id, payment_data);

});

This script should be triggered when the payment is created. It will then call the server-side method update_payment_information, which updates the One2many field in the stock.picking model with the payment information. Finally, the view is updated to reflect the changes without refreshing the page.